TSTP Solution File: GRP643+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP643+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Mon May 20 21:32:07 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 205
% Syntax : Number of formulae : 645 ( 121 unt; 0 def)
% Number of atoms : 2311 ( 58 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 2881 (1215 ~;1249 |; 202 &)
% ( 147 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 162 ( 160 usr; 143 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-3 aty)
% Number of variables : 749 ( 690 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1044,plain,
$false,
inference(avatar_sat_refutation,[],[f228,f233,f238,f243,f248,f253,f258,f263,f268,f273,f278,f283,f288,f293,f298,f303,f308,f313,f317,f321,f325,f329,f333,f337,f341,f347,f351,f355,f359,f363,f368,f378,f382,f386,f390,f394,f398,f402,f410,f414,f419,f423,f427,f431,f439,f443,f447,f451,f466,f475,f479,f484,f488,f492,f507,f511,f515,f519,f524,f528,f532,f546,f550,f555,f560,f564,f568,f572,f576,f582,f592,f596,f604,f609,f613,f619,f623,f635,f646,f655,f660,f665,f671,f676,f681,f690,f695,f702,f707,f711,f718,f723,f724,f725,f726,f732,f734,f757,f767,f771,f775,f779,f783,f795,f806,f812,f816,f824,f829,f833,f839,f843,f847,f851,f855,f862,f866,f876,f886,f890,f894,f906,f913,f920,f921,f927,f931,f937,f941,f950,f954,f961,f965,f971,f975,f979,f990,f996,f1002,f1008,f1015,f1019,f1026,f1030,f1036,f1040,f1043]) ).
fof(f1043,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_7
| ~ spl18_8
| ~ spl18_6
| ~ spl18_89
| ~ spl18_90
| ~ spl18_78
| spl18_102 ),
inference(avatar_split_clause,[],[f807,f803,f633,f704,f699,f250,f260,f255,f240,f235,f230,f225]) ).
fof(f225,plain,
( spl18_1
<=> v3_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f230,plain,
( spl18_2
<=> v3_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f235,plain,
( spl18_3
<=> v4_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f240,plain,
( spl18_4
<=> l1_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f255,plain,
( spl18_7
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f260,plain,
( spl18_8
<=> m1_subset_1(sK3,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).
fof(f250,plain,
( spl18_6
<=> m1_group_2(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
fof(f699,plain,
( spl18_89
<=> r1_rlvect_1(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_89])]) ).
fof(f704,plain,
( spl18_90
<=> r1_rlvect_1(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_90])]) ).
fof(f633,plain,
( spl18_78
<=> ! [X0,X3,X2,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_78])]) ).
fof(f803,plain,
( spl18_102
<=> r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_102])]) ).
fof(f807,plain,
( ~ r1_rlvect_1(sK1,sK3)
| ~ r1_rlvect_1(sK1,sK2)
| ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl18_78
| spl18_102 ),
inference(resolution,[],[f805,f634]) ).
fof(f634,plain,
( ! [X2,X3,X0,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f805,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| spl18_102 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f1040,plain,
( spl18_142
| ~ spl18_95
| ~ spl18_104 ),
inference(avatar_split_clause,[],[f820,f814,f765,f1038]) ).
fof(f1038,plain,
( spl18_142
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_142])]) ).
fof(f765,plain,
( spl18_95
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_95])]) ).
fof(f814,plain,
( spl18_104
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_104])]) ).
fof(f820,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) )
| ~ spl18_95
| ~ spl18_104 ),
inference(resolution,[],[f815,f766]) ).
fof(f766,plain,
( ! [X0] :
( r2_hidden(sK7(X0),X0)
| v1_xboole_0(X0) )
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f815,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f1036,plain,
( spl18_141
| ~ spl18_32
| ~ spl18_95 ),
inference(avatar_split_clause,[],[f786,f765,f376,f1034]) ).
fof(f1034,plain,
( spl18_141
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_141])]) ).
fof(f376,plain,
( spl18_32
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).
fof(f786,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK7(X0)) )
| ~ spl18_32
| ~ spl18_95 ),
inference(resolution,[],[f766,f377]) ).
fof(f377,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f1030,plain,
( spl18_140
| ~ spl18_74
| ~ spl18_86 ),
inference(avatar_split_clause,[],[f684,f678,f607,f1028]) ).
fof(f1028,plain,
( spl18_140
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_140])]) ).
fof(f607,plain,
( spl18_74
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_74])]) ).
fof(f678,plain,
( spl18_86
<=> sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_86])]) ).
fof(f684,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl18_74
| ~ spl18_86 ),
inference(superposition,[],[f608,f680]) ).
fof(f680,plain,
( sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1))
| ~ spl18_86 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f608,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X0 = X2
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl18_74 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f1026,plain,
( spl18_139
| ~ spl18_75
| ~ spl18_86 ),
inference(avatar_split_clause,[],[f682,f678,f611,f1024]) ).
fof(f1024,plain,
( spl18_139
<=> ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_group_1(sK1) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_139])]) ).
fof(f611,plain,
( spl18_75
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_75])]) ).
fof(f682,plain,
( ! [X0,X1] :
( g1_group_1(X0,X1) != sK1
| u1_group_1(sK1) = X1
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl18_75
| ~ spl18_86 ),
inference(superposition,[],[f612,f680]) ).
fof(f612,plain,
( ! [X2,X3,X0,X1] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X1 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl18_75 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f1019,plain,
( spl18_138
| ~ spl18_29
| ~ spl18_88 ),
inference(avatar_split_clause,[],[f696,f693,f357,f1017]) ).
fof(f1017,plain,
( spl18_138
<=> ! [X0] : m1_subset_1(sK16,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_138])]) ).
fof(f357,plain,
( spl18_29
<=> ! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).
fof(f693,plain,
( spl18_88
<=> ! [X0] : sK8(X0) = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_88])]) ).
fof(f696,plain,
( ! [X0] : m1_subset_1(sK16,k1_zfmisc_1(X0))
| ~ spl18_29
| ~ spl18_88 ),
inference(superposition,[],[f358,f694]) ).
fof(f694,plain,
( ! [X0] : sK8(X0) = sK16
| ~ spl18_88 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f358,plain,
( ! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f1015,plain,
( ~ spl18_137
| ~ spl18_32
| ~ spl18_126 ),
inference(avatar_split_clause,[],[f982,f947,f376,f1012]) ).
fof(f1012,plain,
( spl18_137
<=> r2_hidden(u1_struct_0(sK0),k1_group_1(sK0,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_137])]) ).
fof(f947,plain,
( spl18_126
<=> r2_hidden(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_126])]) ).
fof(f982,plain,
( ~ r2_hidden(u1_struct_0(sK0),k1_group_1(sK0,sK2,sK3))
| ~ spl18_32
| ~ spl18_126 ),
inference(resolution,[],[f949,f377]) ).
fof(f949,plain,
( r2_hidden(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f1008,plain,
( spl18_136
| ~ spl18_66
| ~ spl18_68 ),
inference(avatar_split_clause,[],[f585,f570,f562,f1006]) ).
fof(f1006,plain,
( spl18_136
<=> ! [X0] :
( v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_136])]) ).
fof(f562,plain,
( spl18_66
<=> ! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_66])]) ).
fof(f570,plain,
( spl18_68
<=> ! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_68])]) ).
fof(f585,plain,
( ! [X0] :
( v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_66
| ~ spl18_68 ),
inference(resolution,[],[f571,f563]) ).
fof(f563,plain,
( ! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_66 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f571,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl18_68 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1002,plain,
( spl18_135
| ~ spl18_66
| ~ spl18_69 ),
inference(avatar_split_clause,[],[f588,f574,f562,f1000]) ).
fof(f1000,plain,
( spl18_135
<=> ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_135])]) ).
fof(f574,plain,
( spl18_69
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_69])]) ).
fof(f588,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_66
| ~ spl18_69 ),
inference(resolution,[],[f575,f563]) ).
fof(f575,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl18_69 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f996,plain,
( spl18_134
| ~ spl18_62
| ~ spl18_68 ),
inference(avatar_split_clause,[],[f584,f570,f544,f994]) ).
fof(f994,plain,
( spl18_134
<=> ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_134])]) ).
fof(f544,plain,
( spl18_62
<=> ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).
fof(f584,plain,
( ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl18_62
| ~ spl18_68 ),
inference(resolution,[],[f571,f545]) ).
fof(f545,plain,
( ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f990,plain,
( spl18_133
| ~ spl18_62
| ~ spl18_69 ),
inference(avatar_split_clause,[],[f587,f574,f544,f988]) ).
fof(f988,plain,
( spl18_133
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_133])]) ).
fof(f587,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl18_62
| ~ spl18_69 ),
inference(resolution,[],[f575,f545]) ).
fof(f979,plain,
( spl18_132
| ~ spl18_32
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f629,f621,f376,f977]) ).
fof(f977,plain,
( spl18_132
<=> ! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_group_2(X0,X2)
| ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ r2_hidden(k1_funct_1(k1_latsubgr(X2),X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_132])]) ).
fof(f621,plain,
( spl18_77
<=> ! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_77])]) ).
fof(f629,plain,
( ! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_group_2(X0,X2)
| ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ r2_hidden(k1_funct_1(k1_latsubgr(X2),X0),X1) )
| ~ spl18_32
| ~ spl18_77 ),
inference(resolution,[],[f622,f377]) ).
fof(f622,plain,
( ! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f975,plain,
( spl18_131
| ~ spl18_33
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f628,f621,f380,f973]) ).
fof(f973,plain,
( spl18_131
<=> ! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_group_2(X0,X2)
| ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_funct_1(k1_latsubgr(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_131])]) ).
fof(f380,plain,
( spl18_33
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_33])]) ).
fof(f628,plain,
( ! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_group_2(X0,X2)
| ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_funct_1(k1_latsubgr(X2),X0)) )
| ~ spl18_33
| ~ spl18_77 ),
inference(resolution,[],[f622,f381]) ).
fof(f381,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f971,plain,
( spl18_130
| ~ spl18_30
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f630,f621,f361,f969]) ).
fof(f969,plain,
( spl18_130
<=> ! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_group_2(X0,X2)
| ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v1_xboole_0(k1_funct_1(k1_latsubgr(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_130])]) ).
fof(f361,plain,
( spl18_30
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).
fof(f630,plain,
( ! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_group_2(X0,X2)
| ~ v1_group_1(X0)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ v1_xboole_0(k1_funct_1(k1_latsubgr(X2),X0)) )
| ~ spl18_30
| ~ spl18_77 ),
inference(resolution,[],[f622,f362]) ).
fof(f362,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f965,plain,
( spl18_129
| ~ spl18_38
| ~ spl18_72 ),
inference(avatar_split_clause,[],[f599,f594,f400,f963]) ).
fof(f963,plain,
( spl18_129
<=> ! [X0] :
( ~ m1_relset_1(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_129])]) ).
fof(f400,plain,
( spl18_38
<=> ! [X0,X1] : v1_funct_2(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).
fof(f594,plain,
( spl18_72
<=> ! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_72])]) ).
fof(f599,plain,
( ! [X0] :
( ~ m1_relset_1(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl18_38
| ~ spl18_72 ),
inference(resolution,[],[f595,f401]) ).
fof(f401,plain,
( ! [X0,X1] : v1_funct_2(sK12(X0,X1),X0,X1)
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f595,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl18_72 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f961,plain,
( spl18_128
| ~ spl18_38
| ~ spl18_71 ),
inference(avatar_split_clause,[],[f597,f590,f400,f959]) ).
fof(f959,plain,
( spl18_128
<=> ! [X0] :
( ~ m1_relset_1(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_128])]) ).
fof(f590,plain,
( spl18_71
<=> ! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_71])]) ).
fof(f597,plain,
( ! [X0] :
( ~ m1_relset_1(sK12(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK12(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK12(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl18_38
| ~ spl18_71 ),
inference(resolution,[],[f591,f401]) ).
fof(f591,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl18_71 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f954,plain,
( spl18_127
| ~ spl18_45
| ~ spl18_73 ),
inference(avatar_split_clause,[],[f605,f602,f437,f952]) ).
fof(f952,plain,
( spl18_127
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k1_group_1(X1,X2,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_127])]) ).
fof(f437,plain,
( spl18_45
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_45])]) ).
fof(f602,plain,
( spl18_73
<=> ! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_73])]) ).
fof(f605,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k1_group_1(X1,X2,X0),u1_struct_0(X1)) )
| ~ spl18_45
| ~ spl18_73 ),
inference(resolution,[],[f603,f438]) ).
fof(f438,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl18_45 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f603,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_73 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f950,plain,
( spl18_126
| spl18_80
| ~ spl18_45
| ~ spl18_101 ),
inference(avatar_split_clause,[],[f922,f799,f437,f643,f947]) ).
fof(f643,plain,
( spl18_80
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_80])]) ).
fof(f799,plain,
( spl18_101
<=> m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_101])]) ).
fof(f922,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ spl18_45
| ~ spl18_101 ),
inference(resolution,[],[f800,f438]) ).
fof(f800,plain,
( m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f941,plain,
( spl18_125
| ~ spl18_62
| ~ spl18_72 ),
inference(avatar_split_clause,[],[f600,f594,f544,f939]) ).
fof(f939,plain,
( spl18_125
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_125])]) ).
fof(f600,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl18_62
| ~ spl18_72 ),
inference(resolution,[],[f595,f545]) ).
fof(f937,plain,
( spl18_124
| ~ spl18_62
| ~ spl18_71 ),
inference(avatar_split_clause,[],[f598,f590,f544,f935]) ).
fof(f935,plain,
( spl18_124
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_124])]) ).
fof(f598,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl18_62
| ~ spl18_71 ),
inference(resolution,[],[f591,f545]) ).
fof(f931,plain,
( spl18_123
| ~ spl18_38
| ~ spl18_69 ),
inference(avatar_split_clause,[],[f586,f574,f400,f929]) ).
fof(f929,plain,
( spl18_123
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK12(X0,X1))
| ~ v1_funct_1(sK12(X0,X1))
| ~ m1_relset_1(sK12(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_123])]) ).
fof(f586,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK12(X0,X1))
| ~ v1_funct_1(sK12(X0,X1))
| ~ m1_relset_1(sK12(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl18_38
| ~ spl18_69 ),
inference(resolution,[],[f575,f401]) ).
fof(f927,plain,
( spl18_122
| ~ spl18_38
| ~ spl18_68 ),
inference(avatar_split_clause,[],[f583,f570,f400,f925]) ).
fof(f925,plain,
( spl18_122
<=> ! [X0,X1] :
( v1_partfun1(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1))
| ~ m1_relset_1(sK12(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_122])]) ).
fof(f583,plain,
( ! [X0,X1] :
( v1_partfun1(sK12(X0,X1),X0,X1)
| ~ v1_funct_1(sK12(X0,X1))
| ~ m1_relset_1(sK12(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl18_38
| ~ spl18_68 ),
inference(resolution,[],[f571,f401]) ).
fof(f921,plain,
( spl18_1
| ~ spl18_4
| ~ spl18_7
| ~ spl18_8
| ~ spl18_73
| spl18_101 ),
inference(avatar_split_clause,[],[f808,f799,f602,f260,f255,f240,f225]) ).
fof(f808,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl18_73
| spl18_101 ),
inference(resolution,[],[f801,f603]) ).
fof(f801,plain,
( ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| spl18_101 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f920,plain,
( spl18_121
| ~ spl18_47
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f577,f566,f445,f918]) ).
fof(f918,plain,
( spl18_121
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_121])]) ).
fof(f445,plain,
( spl18_47
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).
fof(f566,plain,
( spl18_67
<=> ! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).
fof(f577,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl18_47
| ~ spl18_67 ),
inference(resolution,[],[f567,f446]) ).
fof(f446,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f567,plain,
( ! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_67 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f913,plain,
( spl18_120
| ~ spl18_45
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f496,f486,f437,f911]) ).
fof(f911,plain,
( spl18_120
<=> ! [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,[spl18_120])]) ).
fof(f486,plain,
( spl18_53
<=> ! [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,[spl18_53])]) ).
fof(f496,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))) )
| ~ spl18_45
| ~ spl18_53 ),
inference(resolution,[],[f487,f438]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl18_53 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f906,plain,
( spl18_119
| ~ spl18_45
| ~ spl18_51 ),
inference(avatar_split_clause,[],[f494,f477,f437,f904]) ).
fof(f904,plain,
( spl18_119
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_119])]) ).
fof(f477,plain,
( spl18_51
<=> ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).
fof(f494,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl18_45
| ~ spl18_51 ),
inference(resolution,[],[f478,f438]) ).
fof(f478,plain,
( ! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl18_51 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f894,plain,
( spl18_118
| ~ spl18_47
| ~ spl18_63 ),
inference(avatar_split_clause,[],[f556,f548,f445,f892]) ).
fof(f892,plain,
( spl18_118
<=> ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_118])]) ).
fof(f548,plain,
( spl18_63
<=> ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_63])]) ).
fof(f556,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl18_47
| ~ spl18_63 ),
inference(resolution,[],[f549,f446]) ).
fof(f549,plain,
( ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl18_63 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f890,plain,
( spl18_117
| ~ spl18_53
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f501,f490,f486,f888]) ).
fof(f888,plain,
( spl18_117
<=> ! [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,[spl18_117])]) ).
fof(f490,plain,
( spl18_54
<=> ! [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,[spl18_54])]) ).
fof(f501,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl18_53
| ~ spl18_54 ),
inference(resolution,[],[f491,f487]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f886,plain,
( spl18_116
| ~ spl18_51
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f500,f490,f477,f884]) ).
fof(f884,plain,
( spl18_116
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_116])]) ).
fof(f500,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK6(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl18_51
| ~ spl18_54 ),
inference(resolution,[],[f491,f478]) ).
fof(f876,plain,
( spl18_115
| ~ spl18_49
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f495,f486,f464,f874]) ).
fof(f874,plain,
( spl18_115
<=> ! [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,[spl18_115])]) ).
fof(f464,plain,
( spl18_49
<=> ! [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,[spl18_49])]) ).
fof(f495,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl18_49
| ~ spl18_53 ),
inference(resolution,[],[f487,f465]) ).
fof(f465,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f866,plain,
( spl18_114
| ~ spl18_43
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f457,f437,f425,f864]) ).
fof(f864,plain,
( spl18_114
<=> ! [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,[spl18_114])]) ).
fof(f425,plain,
( spl18_43
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_43])]) ).
fof(f457,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl18_43
| ~ spl18_45 ),
inference(resolution,[],[f438,f426]) ).
fof(f426,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f862,plain,
( spl18_113
| ~ spl18_39
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f456,f437,f408,f860]) ).
fof(f860,plain,
( spl18_113
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_113])]) ).
fof(f408,plain,
( spl18_39
<=> ! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_39])]) ).
fof(f456,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl18_39
| ~ spl18_45 ),
inference(resolution,[],[f438,f409]) ).
fof(f409,plain,
( ! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl18_39 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f855,plain,
( spl18_112
| ~ spl18_50
| ~ spl18_61 ),
inference(avatar_split_clause,[],[f542,f530,f473,f853]) ).
fof(f853,plain,
( spl18_112
<=> ! [X0] :
( l1_group_1(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_112])]) ).
fof(f473,plain,
( spl18_50
<=> ! [X0] :
( m1_group_2(sK5(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_50])]) ).
fof(f530,plain,
( spl18_61
<=> ! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).
fof(f542,plain,
( ! [X0] :
( l1_group_1(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_50
| ~ spl18_61 ),
inference(duplicate_literal_removal,[],[f541]) ).
fof(f541,plain,
( ! [X0] :
( l1_group_1(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_50
| ~ spl18_61 ),
inference(resolution,[],[f531,f474]) ).
fof(f474,plain,
( ! [X0] :
( m1_group_2(sK5(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_50 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f531,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_61 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f851,plain,
( spl18_111
| ~ spl18_50
| ~ spl18_60 ),
inference(avatar_split_clause,[],[f539,f526,f473,f849]) ).
fof(f849,plain,
( spl18_111
<=> ! [X0] :
( v3_group_1(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_111])]) ).
fof(f526,plain,
( spl18_60
<=> ! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).
fof(f539,plain,
( ! [X0] :
( v3_group_1(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_50
| ~ spl18_60 ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f538,plain,
( ! [X0] :
( v3_group_1(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_50
| ~ spl18_60 ),
inference(resolution,[],[f527,f474]) ).
fof(f527,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_60 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f847,plain,
( spl18_110
| ~ spl18_50
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f536,f517,f473,f845]) ).
fof(f845,plain,
( spl18_110
<=> ! [X0] :
( ~ v3_struct_0(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_110])]) ).
fof(f517,plain,
( spl18_58
<=> ! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_58])]) ).
fof(f536,plain,
( ! [X0] :
( ~ v3_struct_0(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_50
| ~ spl18_58 ),
inference(duplicate_literal_removal,[],[f535]) ).
fof(f535,plain,
( ! [X0] :
( ~ v3_struct_0(sK5(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_50
| ~ spl18_58 ),
inference(resolution,[],[f518,f474]) ).
fof(f518,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f843,plain,
( spl18_109
| ~ spl18_43
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f499,f490,f425,f841]) ).
fof(f841,plain,
( spl18_109
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_109])]) ).
fof(f499,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl18_43
| ~ spl18_54 ),
inference(resolution,[],[f491,f426]) ).
fof(f839,plain,
( spl18_108
| ~ spl18_39
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f498,f490,f408,f837]) ).
fof(f837,plain,
( spl18_108
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK4(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_108])]) ).
fof(f498,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK4(X1))
| v1_xboole_0(X1) )
| ~ spl18_39
| ~ spl18_54 ),
inference(resolution,[],[f491,f409]) ).
fof(f833,plain,
( spl18_107
| ~ spl18_23
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f502,f490,f331,f831]) ).
fof(f831,plain,
( spl18_107
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_107])]) ).
fof(f331,plain,
( spl18_23
<=> ! [X0] : m1_subset_1(sK7(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
fof(f502,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1))) )
| ~ spl18_23
| ~ spl18_54 ),
inference(resolution,[],[f491,f332]) ).
fof(f332,plain,
( ! [X0] : m1_subset_1(sK7(X0),X0)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f829,plain,
( ~ spl18_106
| ~ spl18_32
| ~ spl18_94 ),
inference(avatar_split_clause,[],[f760,f754,f376,f826]) ).
fof(f826,plain,
( spl18_106
<=> r2_hidden(u1_struct_0(sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_106])]) ).
fof(f754,plain,
( spl18_94
<=> r2_hidden(sK3,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_94])]) ).
fof(f760,plain,
( ~ r2_hidden(u1_struct_0(sK0),sK3)
| ~ spl18_32
| ~ spl18_94 ),
inference(resolution,[],[f756,f377]) ).
fof(f756,plain,
( r2_hidden(sK3,u1_struct_0(sK0))
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f824,plain,
( spl18_105
| ~ spl18_43
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f469,f464,f425,f822]) ).
fof(f822,plain,
( spl18_105
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_105])]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl18_43
| ~ spl18_49 ),
inference(resolution,[],[f465,f426]) ).
fof(f816,plain,
( spl18_104
| ~ spl18_23
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f470,f464,f331,f814]) ).
fof(f470,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0))) )
| ~ spl18_23
| ~ spl18_49 ),
inference(resolution,[],[f465,f332]) ).
fof(f812,plain,
( spl18_103
| ~ spl18_15
| ~ spl18_20
| ~ spl18_28
| ~ spl18_29
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f458,f437,f357,f353,f319,f295,f810]) ).
fof(f810,plain,
( spl18_103
<=> ! [X0] :
( r2_hidden(sK16,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_103])]) ).
fof(f295,plain,
( spl18_15
<=> v1_xboole_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).
fof(f319,plain,
( spl18_20
<=> ! [X0] : v1_xboole_0(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).
fof(f353,plain,
( spl18_28
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).
fof(f458,plain,
( ! [X0] :
( r2_hidden(sK16,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl18_15
| ~ spl18_20
| ~ spl18_28
| ~ spl18_29
| ~ spl18_45 ),
inference(forward_demodulation,[],[f455,f372]) ).
fof(f372,plain,
( ! [X0] : sK8(X0) = sK16
| ~ spl18_15
| ~ spl18_20
| ~ spl18_28 ),
inference(forward_demodulation,[],[f371,f370]) ).
fof(f370,plain,
( k1_xboole_0 = sK16
| ~ spl18_15
| ~ spl18_28 ),
inference(resolution,[],[f354,f297]) ).
fof(f297,plain,
( v1_xboole_0(sK16)
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f354,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f371,plain,
( ! [X0] : k1_xboole_0 = sK8(X0)
| ~ spl18_20
| ~ spl18_28 ),
inference(resolution,[],[f354,f320]) ).
fof(f320,plain,
( ! [X0] : v1_xboole_0(sK8(X0))
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f455,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK8(X0),k1_zfmisc_1(X0)) )
| ~ spl18_29
| ~ spl18_45 ),
inference(resolution,[],[f438,f358]) ).
fof(f806,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_5
| ~ spl18_6
| ~ spl18_101
| ~ spl18_102
| spl18_18
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f626,f621,f310,f803,f799,f250,f245,f240,f235,f230,f225]) ).
fof(f245,plain,
( spl18_5
<=> v1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f310,plain,
( spl18_18
<=> r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).
fof(f626,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl18_18
| ~ spl18_77 ),
inference(resolution,[],[f622,f312]) ).
fof(f312,plain,
( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
| spl18_18 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f795,plain,
( ~ spl18_100
| ~ spl18_32
| ~ spl18_79 ),
inference(avatar_split_clause,[],[f752,f639,f376,f792]) ).
fof(f792,plain,
( spl18_100
<=> r2_hidden(u1_struct_0(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_100])]) ).
fof(f639,plain,
( spl18_79
<=> r2_hidden(sK2,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_79])]) ).
fof(f752,plain,
( ~ r2_hidden(u1_struct_0(sK0),sK2)
| ~ spl18_32
| ~ spl18_79 ),
inference(resolution,[],[f641,f377]) ).
fof(f641,plain,
( r2_hidden(sK2,u1_struct_0(sK0))
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f783,plain,
( spl18_99
| ~ spl18_37
| ~ spl18_48 ),
inference(avatar_split_clause,[],[f462,f449,f396,f781]) ).
fof(f781,plain,
( spl18_99
<=> ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_99])]) ).
fof(f396,plain,
( spl18_37
<=> ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).
fof(f449,plain,
( spl18_48
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_48])]) ).
fof(f462,plain,
( ! [X0,X1] : m2_relset_1(sK12(X0,X1),X0,X1)
| ~ spl18_37
| ~ spl18_48 ),
inference(resolution,[],[f450,f397]) ).
fof(f397,plain,
( ! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl18_48 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f779,plain,
( spl18_98
| ~ spl18_36
| ~ spl18_48 ),
inference(avatar_split_clause,[],[f461,f449,f392,f777]) ).
fof(f777,plain,
( spl18_98
<=> ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_98])]) ).
fof(f392,plain,
( spl18_36
<=> ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).
fof(f461,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl18_36
| ~ spl18_48 ),
inference(resolution,[],[f450,f393]) ).
fof(f393,plain,
( ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f775,plain,
( spl18_97
| ~ spl18_35
| ~ spl18_48 ),
inference(avatar_split_clause,[],[f460,f449,f388,f773]) ).
fof(f773,plain,
( spl18_97
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_97])]) ).
fof(f388,plain,
( spl18_35
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).
fof(f460,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl18_35
| ~ spl18_48 ),
inference(resolution,[],[f450,f389]) ).
fof(f389,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl18_35 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f771,plain,
( spl18_96
| ~ spl18_34
| ~ spl18_47 ),
inference(avatar_split_clause,[],[f459,f445,f384,f769]) ).
fof(f769,plain,
( spl18_96
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_96])]) ).
fof(f384,plain,
( spl18_34
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).
fof(f459,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl18_34
| ~ spl18_47 ),
inference(resolution,[],[f446,f385]) ).
fof(f385,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f767,plain,
( spl18_95
| ~ spl18_23
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f454,f437,f331,f765]) ).
fof(f454,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK7(X0),X0) )
| ~ spl18_23
| ~ spl18_45 ),
inference(resolution,[],[f438,f332]) ).
fof(f757,plain,
( spl18_94
| spl18_80
| ~ spl18_8
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f453,f437,f260,f643,f754]) ).
fof(f453,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(sK3,u1_struct_0(sK0))
| ~ spl18_8
| ~ spl18_45 ),
inference(resolution,[],[f438,f262]) ).
fof(f262,plain,
( m1_subset_1(sK3,u1_struct_0(sK0))
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f734,plain,
( spl18_1
| ~ spl18_31
| ~ spl18_40
| ~ spl18_80 ),
inference(avatar_split_clause,[],[f647,f643,f412,f365,f225]) ).
fof(f365,plain,
( spl18_31
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).
fof(f412,plain,
( spl18_40
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).
fof(f647,plain,
( ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ spl18_40
| ~ spl18_80 ),
inference(resolution,[],[f645,f413]) ).
fof(f413,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl18_40 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f645,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f732,plain,
( spl18_91
| ~ spl18_28
| ~ spl18_87 ),
inference(avatar_split_clause,[],[f727,f687,f353,f709]) ).
fof(f709,plain,
( spl18_91
<=> ! [X0] :
( sK16 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_91])]) ).
fof(f687,plain,
( spl18_87
<=> k1_xboole_0 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_87])]) ).
fof(f727,plain,
( ! [X0] :
( sK16 = X0
| ~ v1_xboole_0(X0) )
| ~ spl18_28
| ~ spl18_87 ),
inference(forward_demodulation,[],[f354,f689]) ).
fof(f689,plain,
( k1_xboole_0 = sK16
| ~ spl18_87 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f726,plain,
( ~ spl18_80
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl18_80
| ~ spl18_92 ),
inference(resolution,[],[f714,f645]) ).
fof(f714,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl18_92 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl18_92
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_92])]) ).
fof(f725,plain,
( ~ spl18_11
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl18_11
| ~ spl18_92 ),
inference(resolution,[],[f714,f277]) ).
fof(f277,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl18_11
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).
fof(f724,plain,
( ~ spl18_20
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl18_20
| ~ spl18_92 ),
inference(resolution,[],[f714,f320]) ).
fof(f723,plain,
( ~ spl18_15
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl18_15
| ~ spl18_92 ),
inference(resolution,[],[f714,f297]) ).
fof(f718,plain,
( spl18_92
| spl18_93
| ~ spl18_15
| ~ spl18_20
| ~ spl18_28
| ~ spl18_29
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f471,f464,f357,f353,f319,f295,f716,f713]) ).
fof(f716,plain,
( spl18_93
<=> ! [X1] : ~ r2_hidden(X1,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_93])]) ).
fof(f471,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK16)
| ~ v1_xboole_0(X0) )
| ~ spl18_15
| ~ spl18_20
| ~ spl18_28
| ~ spl18_29
| ~ spl18_49 ),
inference(forward_demodulation,[],[f467,f372]) ).
fof(f467,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK8(X0)) )
| ~ spl18_29
| ~ spl18_49 ),
inference(resolution,[],[f465,f358]) ).
fof(f711,plain,
( spl18_91
| ~ spl18_15
| ~ spl18_44 ),
inference(avatar_split_clause,[],[f433,f429,f295,f709]) ).
fof(f429,plain,
( spl18_44
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_44])]) ).
fof(f433,plain,
( ! [X0] :
( sK16 = X0
| ~ v1_xboole_0(X0) )
| ~ spl18_15
| ~ spl18_44 ),
inference(resolution,[],[f430,f297]) ).
fof(f430,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl18_44 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f707,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_5
| ~ spl18_6
| ~ spl18_8
| spl18_90
| ~ spl18_10
| ~ spl18_76 ),
inference(avatar_split_clause,[],[f625,f617,f270,f704,f260,f250,f245,f240,f235,f230,f225]) ).
fof(f270,plain,
( spl18_10
<=> r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).
fof(f617,plain,
( spl18_76
<=> ! [X2,X0,X1] :
( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).
fof(f625,plain,
( r1_rlvect_1(sK1,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl18_10
| ~ spl18_76 ),
inference(resolution,[],[f618,f272]) ).
fof(f272,plain,
( r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f618,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f702,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_5
| ~ spl18_6
| ~ spl18_7
| spl18_89
| ~ spl18_9
| ~ spl18_76 ),
inference(avatar_split_clause,[],[f624,f617,f265,f699,f255,f250,f245,f240,f235,f230,f225]) ).
fof(f265,plain,
( spl18_9
<=> r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f624,plain,
( r1_rlvect_1(sK1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl18_9
| ~ spl18_76 ),
inference(resolution,[],[f618,f267]) ).
fof(f267,plain,
( r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f695,plain,
( spl18_88
| ~ spl18_15
| ~ spl18_20
| ~ spl18_28 ),
inference(avatar_split_clause,[],[f372,f353,f319,f295,f693]) ).
fof(f690,plain,
( spl18_87
| ~ spl18_15
| ~ spl18_28 ),
inference(avatar_split_clause,[],[f370,f353,f295,f687]) ).
fof(f681,plain,
( ~ spl18_83
| spl18_86
| ~ spl18_5
| ~ spl18_55 ),
inference(avatar_split_clause,[],[f533,f505,f245,f678,f662]) ).
fof(f662,plain,
( spl18_83
<=> l1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_83])]) ).
fof(f505,plain,
( spl18_55
<=> ! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_55])]) ).
fof(f533,plain,
( sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1))
| ~ l1_group_1(sK1)
| ~ spl18_5
| ~ spl18_55 ),
inference(resolution,[],[f506,f247]) ).
fof(f247,plain,
( v1_group_1(sK1)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f506,plain,
( ! [X0] :
( ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ l1_group_1(X0) )
| ~ spl18_55 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f676,plain,
( spl18_85
| ~ spl18_22
| ~ spl18_83 ),
inference(avatar_split_clause,[],[f666,f662,f327,f673]) ).
fof(f673,plain,
( spl18_85
<=> l1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_85])]) ).
fof(f327,plain,
( spl18_22
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).
fof(f666,plain,
( l1_struct_0(sK1)
| ~ spl18_22
| ~ spl18_83 ),
inference(resolution,[],[f664,f328]) ).
fof(f328,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f664,plain,
( l1_group_1(sK1)
| ~ spl18_83 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f671,plain,
( spl18_84
| ~ spl18_14
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f343,f327,f290,f668]) ).
fof(f668,plain,
( spl18_84
<=> l1_struct_0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_84])]) ).
fof(f290,plain,
( spl18_14
<=> l1_group_1(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
fof(f343,plain,
( l1_struct_0(sK15)
| ~ spl18_14
| ~ spl18_22 ),
inference(resolution,[],[f328,f292]) ).
fof(f292,plain,
( l1_group_1(sK15)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f665,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_4
| spl18_83
| ~ spl18_6
| ~ spl18_61 ),
inference(avatar_split_clause,[],[f540,f530,f250,f662,f240,f230,f225]) ).
fof(f540,plain,
( l1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl18_6
| ~ spl18_61 ),
inference(resolution,[],[f531,f252]) ).
fof(f252,plain,
( m1_group_2(sK1,sK0)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f660,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_4
| spl18_82
| ~ spl18_6
| ~ spl18_60 ),
inference(avatar_split_clause,[],[f537,f526,f250,f657,f240,f230,f225]) ).
fof(f657,plain,
( spl18_82
<=> v3_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_82])]) ).
fof(f537,plain,
( v3_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl18_6
| ~ spl18_60 ),
inference(resolution,[],[f527,f252]) ).
fof(f655,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_4
| ~ spl18_81
| ~ spl18_6
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f534,f517,f250,f652,f240,f230,f225]) ).
fof(f652,plain,
( spl18_81
<=> v3_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_81])]) ).
fof(f534,plain,
( ~ v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl18_6
| ~ spl18_58 ),
inference(resolution,[],[f518,f252]) ).
fof(f646,plain,
( spl18_79
| spl18_80
| ~ spl18_7
| ~ spl18_45 ),
inference(avatar_split_clause,[],[f452,f437,f255,f643,f639]) ).
fof(f452,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(sK2,u1_struct_0(sK0))
| ~ spl18_7
| ~ spl18_45 ),
inference(resolution,[],[f438,f257]) ).
fof(f257,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f635,plain,
spl18_78,
inference(avatar_split_clause,[],[f171,f633]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_group_2(X3,X0)
=> ( ( r1_rlvect_1(X3,X2)
& r1_rlvect_1(X3,X1) )
=> r1_rlvect_1(X3,k1_group_1(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_group_2) ).
fof(f623,plain,
spl18_77,
inference(avatar_split_clause,[],[f173,f621]) ).
fof(f173,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f619,plain,
spl18_76,
inference(avatar_split_clause,[],[f172,f617]) ).
fof(f172,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f613,plain,
spl18_75,
inference(avatar_split_clause,[],[f199,f611]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( g1_group_1(X0,X1) = g1_group_1(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(f609,plain,
spl18_74,
inference(avatar_split_clause,[],[f198,f607]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f604,plain,
spl18_73,
inference(avatar_split_clause,[],[f213,f602]) ).
fof(f213,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_group_1) ).
fof(f596,plain,
spl18_72,
inference(avatar_split_clause,[],[f197,f594]) ).
fof(f197,plain,
! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) )
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f592,plain,
spl18_71,
inference(avatar_split_clause,[],[f196,f590]) ).
fof(f196,plain,
! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f582,plain,
( spl18_70
| ~ spl18_10
| ~ spl18_33 ),
inference(avatar_split_clause,[],[f406,f380,f270,f579]) ).
fof(f579,plain,
( spl18_70
<=> m1_subset_1(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_70])]) ).
fof(f406,plain,
( m1_subset_1(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl18_10
| ~ spl18_33 ),
inference(resolution,[],[f381,f272]) ).
fof(f576,plain,
spl18_69,
inference(avatar_split_clause,[],[f193,f574]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f572,plain,
spl18_68,
inference(avatar_split_clause,[],[f186,f570]) ).
fof(f186,plain,
! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(f568,plain,
spl18_67,
inference(avatar_split_clause,[],[f170,f566]) ).
fof(f170,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f564,plain,
spl18_66,
inference(avatar_split_clause,[],[f169,f562]) ).
fof(f169,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f560,plain,
spl18_65,
inference(avatar_split_clause,[],[f212,f558]) ).
fof(f558,plain,
( spl18_65
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_65])]) ).
fof(f212,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f555,plain,
( spl18_64
| ~ spl18_9
| ~ spl18_33 ),
inference(avatar_split_clause,[],[f405,f380,f265,f552]) ).
fof(f552,plain,
( spl18_64
<=> m1_subset_1(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_64])]) ).
fof(f405,plain,
( m1_subset_1(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl18_9
| ~ spl18_33 ),
inference(resolution,[],[f381,f267]) ).
fof(f550,plain,
spl18_63,
inference(avatar_split_clause,[],[f164,f548]) ).
fof(f164,plain,
! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f546,plain,
spl18_62,
inference(avatar_split_clause,[],[f163,f544]) ).
fof(f163,plain,
! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f532,plain,
spl18_61,
inference(avatar_split_clause,[],[f176,f530]) ).
fof(f176,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f528,plain,
spl18_60,
inference(avatar_split_clause,[],[f175,f526]) ).
fof(f175,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f524,plain,
( ~ spl18_59
| ~ spl18_10
| ~ spl18_32 ),
inference(avatar_split_clause,[],[f404,f376,f270,f521]) ).
fof(f521,plain,
( spl18_59
<=> r2_hidden(k1_funct_1(k1_latsubgr(sK0),sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).
fof(f404,plain,
( ~ r2_hidden(k1_funct_1(k1_latsubgr(sK0),sK1),sK3)
| ~ spl18_10
| ~ spl18_32 ),
inference(resolution,[],[f377,f272]) ).
fof(f519,plain,
spl18_58,
inference(avatar_split_clause,[],[f174,f517]) ).
fof(f174,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f515,plain,
spl18_57,
inference(avatar_split_clause,[],[f168,f513]) ).
fof(f513,plain,
( spl18_57
<=> ! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_57])]) ).
fof(f168,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f511,plain,
spl18_56,
inference(avatar_split_clause,[],[f167,f509]) ).
fof(f509,plain,
( spl18_56
<=> ! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_56])]) ).
fof(f167,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k1_group_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_3) ).
fof(f507,plain,
spl18_55,
inference(avatar_split_clause,[],[f165,f505]) ).
fof(f165,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f492,plain,
spl18_54,
inference(avatar_split_clause,[],[f214,f490]) ).
fof(f214,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,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(f488,plain,
spl18_53,
inference(avatar_split_clause,[],[f210,f486]) ).
fof(f210,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,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f484,plain,
( ~ spl18_52
| ~ spl18_9
| ~ spl18_32 ),
inference(avatar_split_clause,[],[f403,f376,f265,f481]) ).
fof(f481,plain,
( spl18_52
<=> r2_hidden(k1_funct_1(k1_latsubgr(sK0),sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_52])]) ).
fof(f403,plain,
( ~ r2_hidden(k1_funct_1(k1_latsubgr(sK0),sK1),sK2)
| ~ spl18_9
| ~ spl18_32 ),
inference(resolution,[],[f377,f267]) ).
fof(f479,plain,
spl18_51,
inference(avatar_split_clause,[],[f179,f477]) ).
fof(f179,plain,
! [X0] :
( m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f85,f121]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK6(X0))
& m1_subset_1(sK6(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f475,plain,
spl18_50,
inference(avatar_split_clause,[],[f177,f473]) ).
fof(f177,plain,
! [X0] :
( m1_group_2(sK5(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( m1_group_2(sK5(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f81,f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
=> m1_group_2(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f466,plain,
spl18_49,
inference(avatar_split_clause,[],[f217,f464]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,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(f451,plain,
spl18_48,
inference(avatar_split_clause,[],[f216,f449]) ).
fof(f216,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f447,plain,
spl18_47,
inference(avatar_split_clause,[],[f215,f445]) ).
fof(f215,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f443,plain,
spl18_46,
inference(avatar_split_clause,[],[f191,f441]) ).
fof(f441,plain,
( spl18_46
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_46])]) ).
fof(f191,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f439,plain,
spl18_45,
inference(avatar_split_clause,[],[f190,f437]) ).
fof(f190,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,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(f431,plain,
spl18_44,
inference(avatar_split_clause,[],[f201,f429]) ).
fof(f201,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f427,plain,
spl18_43,
inference(avatar_split_clause,[],[f200,f425]) ).
fof(f200,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,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(f423,plain,
spl18_42,
inference(avatar_split_clause,[],[f180,f421]) ).
fof(f421,plain,
( spl18_42
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).
fof(f180,plain,
! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f419,plain,
( ~ spl18_41
| ~ spl18_9
| ~ spl18_30 ),
inference(avatar_split_clause,[],[f373,f361,f265,f416]) ).
fof(f416,plain,
( spl18_41
<=> v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).
fof(f373,plain,
( ~ v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl18_9
| ~ spl18_30 ),
inference(resolution,[],[f362,f267]) ).
fof(f414,plain,
spl18_40,
inference(avatar_split_clause,[],[f178,f412]) ).
fof(f178,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f410,plain,
spl18_39,
inference(avatar_split_clause,[],[f159,f408]) ).
fof(f159,plain,
! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f64,f116]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f402,plain,
spl18_38,
inference(avatar_split_clause,[],[f209,f400]) ).
fof(f209,plain,
! [X0,X1] : v1_funct_2(sK12(X0,X1),X0,X1),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( v1_funct_2(sK12(X0,X1),X0,X1)
& v1_funct_1(sK12(X0,X1))
& m1_relset_1(sK12(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f60,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK12(X0,X1),X0,X1)
& v1_funct_1(sK12(X0,X1))
& m1_relset_1(sK12(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f398,plain,
spl18_37,
inference(avatar_split_clause,[],[f207,f396]) ).
fof(f207,plain,
! [X0,X1] : m1_relset_1(sK12(X0,X1),X0,X1),
inference(cnf_transformation,[],[f134]) ).
fof(f394,plain,
spl18_36,
inference(avatar_split_clause,[],[f205,f392]) ).
fof(f205,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( v1_funct_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f59,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f390,plain,
spl18_35,
inference(avatar_split_clause,[],[f204,f388]) ).
fof(f204,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f28,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f386,plain,
spl18_34,
inference(avatar_split_clause,[],[f203,f384]) ).
fof(f203,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f30,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f382,plain,
spl18_33,
inference(avatar_split_clause,[],[f189,f380]) ).
fof(f189,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f378,plain,
spl18_32,
inference(avatar_split_clause,[],[f188,f376]) ).
fof(f188,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,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(f368,plain,
( spl18_31
| ~ spl18_4
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f342,f327,f240,f365]) ).
fof(f342,plain,
( l1_struct_0(sK0)
| ~ spl18_4
| ~ spl18_22 ),
inference(resolution,[],[f328,f242]) ).
fof(f242,plain,
( l1_group_1(sK0)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f363,plain,
spl18_30,
inference(avatar_split_clause,[],[f202,f361]) ).
fof(f202,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f359,plain,
spl18_29,
inference(avatar_split_clause,[],[f182,f357]) ).
fof(f182,plain,
! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f41,f125]) ).
fof(f125,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(f41,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f355,plain,
spl18_28,
inference(avatar_split_clause,[],[f166,f353]) ).
fof(f166,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f351,plain,
spl18_27,
inference(avatar_split_clause,[],[f162,f349]) ).
fof(f349,plain,
( spl18_27
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
fof(f162,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f347,plain,
spl18_26,
inference(avatar_split_clause,[],[f160,f345]) ).
fof(f345,plain,
( spl18_26
<=> ! [X0] :
( ~ v1_xboole_0(sK4(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
fof(f160,plain,
! [X0] :
( ~ v1_xboole_0(sK4(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f341,plain,
spl18_25,
inference(avatar_split_clause,[],[f208,f339]) ).
fof(f339,plain,
( spl18_25
<=> ! [X0,X1] : v1_funct_1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f208,plain,
! [X0,X1] : v1_funct_1(sK12(X0,X1)),
inference(cnf_transformation,[],[f134]) ).
fof(f337,plain,
spl18_24,
inference(avatar_split_clause,[],[f206,f335]) ).
fof(f335,plain,
( spl18_24
<=> ! [X0,X1] : v1_funct_1(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
fof(f206,plain,
! [X0,X1] : v1_funct_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f132]) ).
fof(f333,plain,
spl18_23,
inference(avatar_split_clause,[],[f181,f331]) ).
fof(f181,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f29,f123]) ).
fof(f123,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f329,plain,
spl18_22,
inference(avatar_split_clause,[],[f161,f327]) ).
fof(f161,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,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(f325,plain,
spl18_21,
inference(avatar_split_clause,[],[f184,f323]) ).
fof(f323,plain,
( spl18_21
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).
fof(f184,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f321,plain,
spl18_20,
inference(avatar_split_clause,[],[f183,f319]) ).
fof(f183,plain,
! [X0] : v1_xboole_0(sK8(X0)),
inference(cnf_transformation,[],[f126]) ).
fof(f317,plain,
spl18_19,
inference(avatar_split_clause,[],[f158,f315]) ).
fof(f315,plain,
( spl18_19
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).
fof(f158,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f313,plain,
~ spl18_18,
inference(avatar_split_clause,[],[f156,f310]) ).
fof(f156,plain,
~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0))
& m1_group_2(sK1,sK0)
& v1_group_1(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f63,f114,f113,f112,f111]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
=> ( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(f308,plain,
~ spl18_17,
inference(avatar_split_clause,[],[f223,f305]) ).
fof(f305,plain,
( spl18_17
<=> v3_struct_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f223,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ~ v3_struct_0(sK17)
& l1_struct_0(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f43,f144]) ).
fof(f144,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK17)
& l1_struct_0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f303,plain,
spl18_16,
inference(avatar_split_clause,[],[f222,f300]) ).
fof(f300,plain,
( spl18_16
<=> l1_struct_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).
fof(f222,plain,
l1_struct_0(sK17),
inference(cnf_transformation,[],[f145]) ).
fof(f298,plain,
spl18_15,
inference(avatar_split_clause,[],[f221,f295]) ).
fof(f221,plain,
v1_xboole_0(sK16),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
v1_xboole_0(sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f39,f142]) ).
fof(f142,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK16) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f293,plain,
spl18_14,
inference(avatar_split_clause,[],[f220,f290]) ).
fof(f220,plain,
l1_group_1(sK15),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
l1_group_1(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f25,f140]) ).
fof(f140,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK15) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f288,plain,
spl18_13,
inference(avatar_split_clause,[],[f219,f285]) ).
fof(f285,plain,
( spl18_13
<=> l1_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).
fof(f219,plain,
l1_struct_0(sK14),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
l1_struct_0(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f26,f138]) ).
fof(f138,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK14) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f283,plain,
~ spl18_12,
inference(avatar_split_clause,[],[f218,f280]) ).
fof(f280,plain,
( spl18_12
<=> v1_xboole_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f218,plain,
~ v1_xboole_0(sK13),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
~ v1_xboole_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f42,f136]) ).
fof(f136,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f278,plain,
spl18_11,
inference(avatar_split_clause,[],[f157,f275]) ).
fof(f157,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f273,plain,
spl18_10,
inference(avatar_split_clause,[],[f155,f270]) ).
fof(f155,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f268,plain,
spl18_9,
inference(avatar_split_clause,[],[f154,f265]) ).
fof(f154,plain,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f263,plain,
spl18_8,
inference(avatar_split_clause,[],[f153,f260]) ).
fof(f153,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f115]) ).
fof(f258,plain,
spl18_7,
inference(avatar_split_clause,[],[f152,f255]) ).
fof(f152,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f115]) ).
fof(f253,plain,
spl18_6,
inference(avatar_split_clause,[],[f151,f250]) ).
fof(f151,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f248,plain,
spl18_5,
inference(avatar_split_clause,[],[f150,f245]) ).
fof(f150,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f243,plain,
spl18_4,
inference(avatar_split_clause,[],[f149,f240]) ).
fof(f149,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f238,plain,
spl18_3,
inference(avatar_split_clause,[],[f148,f235]) ).
fof(f148,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f233,plain,
spl18_2,
inference(avatar_split_clause,[],[f147,f230]) ).
fof(f147,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f228,plain,
~ spl18_1,
inference(avatar_split_clause,[],[f146,f225]) ).
fof(f146,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP643+1 : TPTP v8.2.0. Released v3.4.0.
% 0.10/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 04:54:07 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (20601)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (20607)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)
% 0.13/0.37 % (20604)WARNING: value z3 for option sas not known
% 0.13/0.37 % (20603)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (20604)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)
% 0.13/0.37 % (20605)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (20608)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)
% 0.13/0.37 % (20606)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)
% 0.13/0.37 % (20602)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 % (20606)First to succeed.
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 % (20606)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20601"
% 0.13/0.40 % (20606)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (20606)------------------------------
% 0.13/0.40 % (20606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (20606)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (20606)Memory used [KB]: 1248
% 0.13/0.40 % (20606)Time elapsed: 0.026 s
% 0.13/0.40 % (20606)Instructions burned: 42 (million)
% 0.13/0.40 % (20601)Success in time 0.044 s
%------------------------------------------------------------------------------