TSTP Solution File: GRP644+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:10:08 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 193
% Syntax : Number of formulae : 590 ( 117 unt; 0 def)
% Number of atoms : 2100 ( 43 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 2603 (1093 ~;1134 |; 176 &)
% ( 136 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 151 ( 149 usr; 132 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-2 aty)
% Number of variables : 699 ( 649 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f949,plain,
$false,
inference(avatar_sat_refutation,[],[f225,f230,f235,f240,f245,f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f304,f308,f312,f316,f320,f324,f328,f335,f339,f343,f347,f351,f355,f364,f368,f372,f376,f380,f384,f388,f395,f399,f403,f407,f411,f415,f423,f427,f431,f435,f446,f454,f463,f467,f471,f475,f480,f495,f499,f503,f507,f511,f515,f529,f533,f538,f543,f547,f551,f555,f566,f575,f579,f583,f592,f596,f600,f610,f614,f628,f633,f634,f642,f648,f653,f662,f668,f672,f679,f683,f690,f702,f708,f712,f716,f720,f724,f737,f742,f746,f754,f758,f764,f768,f772,f776,f780,f787,f788,f793,f803,f813,f817,f821,f832,f838,f845,f852,f857,f861,f870,f874,f878,f889,f893,f898,f904,f908,f912,f920,f926,f932,f938,f944,f948]) ).
fof(f948,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_7
| ~ spl17_6
| ~ spl17_85
| ~ spl17_72
| spl17_90 ),
inference(avatar_split_clause,[],[f703,f699,f590,f676,f247,f252,f237,f232,f227,f222]) ).
fof(f222,plain,
( spl17_1
<=> v3_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f227,plain,
( spl17_2
<=> v3_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f232,plain,
( spl17_3
<=> v4_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f237,plain,
( spl17_4
<=> l1_group_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f252,plain,
( spl17_7
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f247,plain,
( spl17_6
<=> m1_group_2(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f676,plain,
( spl17_85
<=> r1_rlvect_1(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).
fof(f590,plain,
( spl17_72
<=> ! [X2,X0,X1] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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,[spl17_72])]) ).
fof(f699,plain,
( spl17_90
<=> r1_rlvect_1(sK1,k3_group_1(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_90])]) ).
fof(f703,plain,
( ~ r1_rlvect_1(sK1,sK2)
| ~ m1_group_2(sK1,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)
| ~ spl17_72
| spl17_90 ),
inference(resolution,[],[f701,f591]) ).
fof(f591,plain,
( ! [X2,X0,X1] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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) )
| ~ spl17_72 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f701,plain,
( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
| spl17_90 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f944,plain,
( spl17_131
| ~ spl17_28
| ~ spl17_84 ),
inference(avatar_split_clause,[],[f673,f670,f349,f942]) ).
fof(f942,plain,
( spl17_131
<=> ! [X0] : m1_subset_1(sK15,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_131])]) ).
fof(f349,plain,
( spl17_28
<=> ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f670,plain,
( spl17_84
<=> ! [X0] : sK7(X0) = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).
fof(f673,plain,
( ! [X0] : m1_subset_1(sK15,k1_zfmisc_1(X0))
| ~ spl17_28
| ~ spl17_84 ),
inference(superposition,[],[f350,f671]) ).
fof(f671,plain,
( ! [X0] : sK7(X0) = sK15
| ~ spl17_84 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f350,plain,
( ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| ~ spl17_28 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f938,plain,
( spl17_130
| ~ spl17_63
| ~ spl17_65 ),
inference(avatar_split_clause,[],[f559,f549,f541,f936]) ).
fof(f936,plain,
( spl17_130
<=> ! [X0] :
( v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_130])]) ).
fof(f541,plain,
( spl17_63
<=> ! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_63])]) ).
fof(f549,plain,
( spl17_65
<=> ! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_65])]) ).
fof(f559,plain,
( ! [X0] :
( v1_partfun1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_63
| ~ spl17_65 ),
inference(resolution,[],[f550,f542]) ).
fof(f542,plain,
( ! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_63 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f550,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl17_65 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f932,plain,
( spl17_129
| ~ spl17_63
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f562,f553,f541,f930]) ).
fof(f930,plain,
( spl17_129
<=> ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_129])]) ).
fof(f553,plain,
( spl17_66
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_66])]) ).
fof(f562,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_latsubgr(X0))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_63
| ~ spl17_66 ),
inference(resolution,[],[f554,f542]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl17_66 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f926,plain,
( spl17_128
| ~ spl17_60
| ~ spl17_65 ),
inference(avatar_split_clause,[],[f558,f549,f527,f924]) ).
fof(f924,plain,
( spl17_128
<=> ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_128])]) ).
fof(f527,plain,
( spl17_60
<=> ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_60])]) ).
fof(f558,plain,
( ! [X0] :
( v1_partfun1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl17_60
| ~ spl17_65 ),
inference(resolution,[],[f550,f528]) ).
fof(f528,plain,
( ! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl17_60 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f920,plain,
( spl17_127
| ~ spl17_60
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f561,f553,f527,f918]) ).
fof(f918,plain,
( spl17_127
<=> ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_127])]) ).
fof(f561,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0) )
| ~ spl17_60
| ~ spl17_66 ),
inference(resolution,[],[f554,f528]) ).
fof(f912,plain,
( spl17_126
| ~ spl17_30
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f620,f612,f362,f910]) ).
fof(f910,plain,
( spl17_126
<=> ! [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,[spl17_126])]) ).
fof(f362,plain,
( spl17_30
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f612,plain,
( spl17_76
<=> ! [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,[spl17_76])]) ).
fof(f620,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) )
| ~ spl17_30
| ~ spl17_76 ),
inference(resolution,[],[f613,f363]) ).
fof(f363,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl17_30 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f613,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) )
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f908,plain,
( spl17_125
| ~ spl17_31
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f619,f612,f366,f906]) ).
fof(f906,plain,
( spl17_125
<=> ! [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,[spl17_125])]) ).
fof(f366,plain,
( spl17_31
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f619,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)) )
| ~ spl17_31
| ~ spl17_76 ),
inference(resolution,[],[f613,f367]) ).
fof(f367,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl17_31 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f904,plain,
( spl17_124
| ~ spl17_29
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f621,f612,f353,f902]) ).
fof(f902,plain,
( spl17_124
<=> ! [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,[spl17_124])]) ).
fof(f353,plain,
( spl17_29
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f621,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)) )
| ~ spl17_29
| ~ spl17_76 ),
inference(resolution,[],[f613,f354]) ).
fof(f354,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl17_29 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f898,plain,
( ~ spl17_123
| ~ spl17_30
| ~ spl17_112 ),
inference(avatar_split_clause,[],[f863,f829,f362,f895]) ).
fof(f895,plain,
( spl17_123
<=> r2_hidden(u1_struct_0(sK0),k3_group_1(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_123])]) ).
fof(f829,plain,
( spl17_112
<=> r2_hidden(k3_group_1(sK0,sK2),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).
fof(f863,plain,
( ~ r2_hidden(u1_struct_0(sK0),k3_group_1(sK0,sK2))
| ~ spl17_30
| ~ spl17_112 ),
inference(resolution,[],[f831,f363]) ).
fof(f831,plain,
( r2_hidden(k3_group_1(sK0,sK2),u1_struct_0(sK0))
| ~ spl17_112 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f893,plain,
( spl17_122
| ~ spl17_36
| ~ spl17_71 ),
inference(avatar_split_clause,[],[f587,f581,f386,f891]) ).
fof(f891,plain,
( spl17_122
<=> ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_122])]) ).
fof(f386,plain,
( spl17_36
<=> ! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).
fof(f581,plain,
( spl17_71
<=> ! [X0,X1] :
( l1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).
fof(f587,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_36
| ~ spl17_71 ),
inference(resolution,[],[f582,f387]) ).
fof(f387,plain,
( ! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1)
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f582,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl17_71 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f889,plain,
( spl17_121
| ~ spl17_36
| ~ spl17_70 ),
inference(avatar_split_clause,[],[f585,f577,f386,f887]) ).
fof(f887,plain,
( spl17_121
<=> ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_121])]) ).
fof(f577,plain,
( spl17_70
<=> ! [X0,X1] :
( v1_group_1(g1_group_1(X0,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).
fof(f585,plain,
( ! [X0] :
( ~ m1_relset_1(sK11(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,sK11(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK11(k2_zfmisc_1(X0,X0),X0)) )
| ~ spl17_36
| ~ spl17_70 ),
inference(resolution,[],[f578,f387]) ).
fof(f578,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1) )
| ~ spl17_70 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f878,plain,
( spl17_120
| ~ spl17_60
| ~ spl17_71 ),
inference(avatar_split_clause,[],[f588,f581,f527,f876]) ).
fof(f876,plain,
( spl17_120
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_120])]) ).
fof(f588,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_60
| ~ spl17_71 ),
inference(resolution,[],[f582,f528]) ).
fof(f874,plain,
( spl17_119
| ~ spl17_60
| ~ spl17_70 ),
inference(avatar_split_clause,[],[f586,f577,f527,f872]) ).
fof(f872,plain,
( spl17_119
<=> ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_119])]) ).
fof(f586,plain,
( ! [X0] :
( ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) )
| ~ spl17_60
| ~ spl17_70 ),
inference(resolution,[],[f578,f528]) ).
fof(f870,plain,
( spl17_118
| ~ spl17_43
| ~ spl17_67 ),
inference(avatar_split_clause,[],[f584,f564,f421,f868]) ).
fof(f868,plain,
( spl17_118
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k3_group_1(X1,X0),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_118])]) ).
fof(f421,plain,
( spl17_43
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).
fof(f564,plain,
( spl17_67
<=> ! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),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,[spl17_67])]) ).
fof(f584,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(k3_group_1(X1,X0),u1_struct_0(X1)) )
| ~ spl17_43
| ~ spl17_67 ),
inference(resolution,[],[f565,f422]) ).
fof(f422,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl17_43 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f565,plain,
( ! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),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) )
| ~ spl17_67 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f861,plain,
( spl17_117
| ~ spl17_36
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f560,f553,f386,f859]) ).
fof(f859,plain,
( spl17_117
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_117])]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK11(X0,X1))
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl17_36
| ~ spl17_66 ),
inference(resolution,[],[f554,f387]) ).
fof(f857,plain,
( spl17_116
| ~ spl17_36
| ~ spl17_65 ),
inference(avatar_split_clause,[],[f557,f549,f386,f855]) ).
fof(f855,plain,
( spl17_116
<=> ! [X0,X1] :
( v1_partfun1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_116])]) ).
fof(f557,plain,
( ! [X0,X1] :
( v1_partfun1(sK11(X0,X1),X0,X1)
| ~ v1_funct_1(sK11(X0,X1))
| ~ m1_relset_1(sK11(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl17_36
| ~ spl17_65 ),
inference(resolution,[],[f550,f387]) ).
fof(f852,plain,
( spl17_115
| ~ spl17_45
| ~ spl17_64 ),
inference(avatar_split_clause,[],[f556,f545,f429,f850]) ).
fof(f850,plain,
( spl17_115
<=> ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_115])]) ).
fof(f429,plain,
( spl17_45
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
fof(f545,plain,
( spl17_64
<=> ! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_64])]) ).
fof(f556,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl17_45
| ~ spl17_64 ),
inference(resolution,[],[f546,f430]) ).
fof(f430,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl17_45 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f546,plain,
( ! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_64 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f845,plain,
( spl17_114
| ~ spl17_43
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f484,f469,f421,f843]) ).
fof(f843,plain,
( spl17_114
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_114])]) ).
fof(f469,plain,
( spl17_51
<=> ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_51])]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl17_43
| ~ spl17_51 ),
inference(resolution,[],[f470,f422]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl17_51 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f838,plain,
( spl17_113
| ~ spl17_43
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f482,f465,f421,f836]) ).
fof(f836,plain,
( spl17_113
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_113])]) ).
fof(f465,plain,
( spl17_50
<=> ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_50])]) ).
fof(f482,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl17_43
| ~ spl17_50 ),
inference(resolution,[],[f466,f422]) ).
fof(f466,plain,
( ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl17_50 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f832,plain,
( spl17_112
| spl17_69
| ~ spl17_43
| ~ spl17_89 ),
inference(avatar_split_clause,[],[f789,f695,f421,f572,f829]) ).
fof(f572,plain,
( spl17_69
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).
fof(f695,plain,
( spl17_89
<=> m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_89])]) ).
fof(f789,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(k3_group_1(sK0,sK2),u1_struct_0(sK0))
| ~ spl17_43
| ~ spl17_89 ),
inference(resolution,[],[f696,f422]) ).
fof(f696,plain,
( m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
| ~ spl17_89 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f821,plain,
( spl17_111
| ~ spl17_45
| ~ spl17_61 ),
inference(avatar_split_clause,[],[f534,f531,f429,f819]) ).
fof(f819,plain,
( spl17_111
<=> ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_111])]) ).
fof(f531,plain,
( spl17_61
<=> ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_61])]) ).
fof(f534,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl17_45
| ~ spl17_61 ),
inference(resolution,[],[f532,f430]) ).
fof(f532,plain,
( ! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) )
| ~ spl17_61 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f817,plain,
( spl17_110
| ~ spl17_50
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f488,f473,f465,f815]) ).
fof(f815,plain,
( spl17_110
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK5(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_110])]) ).
fof(f473,plain,
( spl17_52
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).
fof(f488,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK5(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl17_50
| ~ spl17_52 ),
inference(resolution,[],[f474,f466]) ).
fof(f474,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl17_52 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f813,plain,
( spl17_109
| ~ spl17_51
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f486,f473,f469,f811]) ).
fof(f811,plain,
( spl17_109
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_109])]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl17_51
| ~ spl17_52 ),
inference(resolution,[],[f474,f470]) ).
fof(f803,plain,
( spl17_108
| ~ spl17_48
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f483,f469,f452,f801]) ).
fof(f801,plain,
( spl17_108
<=> ! [X2,X0,X1,X3] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_108])]) ).
fof(f452,plain,
( spl17_48
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl17_48
| ~ spl17_51 ),
inference(resolution,[],[f470,f453]) ).
fof(f453,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f793,plain,
( spl17_107
| ~ spl17_38
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f438,f421,f397,f791]) ).
fof(f791,plain,
( spl17_107
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_107])]) ).
fof(f397,plain,
( spl17_38
<=> ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).
fof(f438,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl17_38
| ~ spl17_43 ),
inference(resolution,[],[f422,f398]) ).
fof(f398,plain,
( ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl17_38 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f788,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_7
| ~ spl17_67
| spl17_89 ),
inference(avatar_split_clause,[],[f704,f695,f564,f252,f237,f232,f227,f222]) ).
fof(f704,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_67
| spl17_89 ),
inference(resolution,[],[f697,f565]) ).
fof(f697,plain,
( ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
| spl17_89 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f787,plain,
( spl17_106
| ~ spl17_41
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f436,f421,f409,f785]) ).
fof(f785,plain,
( spl17_106
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_106])]) ).
fof(f409,plain,
( spl17_41
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).
fof(f436,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl17_41
| ~ spl17_43 ),
inference(resolution,[],[f422,f410]) ).
fof(f410,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl17_41 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f780,plain,
( spl17_105
| ~ spl17_49
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f525,f513,f461,f778]) ).
fof(f778,plain,
( spl17_105
<=> ! [X0] :
( l1_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_105])]) ).
fof(f461,plain,
( spl17_49
<=> ! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_49])]) ).
fof(f513,plain,
( spl17_59
<=> ! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_59])]) ).
fof(f525,plain,
( ! [X0] :
( l1_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_49
| ~ spl17_59 ),
inference(duplicate_literal_removal,[],[f524]) ).
fof(f524,plain,
( ! [X0] :
( l1_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_49
| ~ spl17_59 ),
inference(resolution,[],[f514,f462]) ).
fof(f462,plain,
( ! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f514,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_59 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f776,plain,
( spl17_104
| ~ spl17_49
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f522,f509,f461,f774]) ).
fof(f774,plain,
( spl17_104
<=> ! [X0] :
( v3_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_104])]) ).
fof(f509,plain,
( spl17_58
<=> ! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_58])]) ).
fof(f522,plain,
( ! [X0] :
( v3_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_49
| ~ spl17_58 ),
inference(duplicate_literal_removal,[],[f521]) ).
fof(f521,plain,
( ! [X0] :
( v3_group_1(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_49
| ~ spl17_58 ),
inference(resolution,[],[f510,f462]) ).
fof(f510,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_58 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f772,plain,
( spl17_103
| ~ spl17_49
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f519,f505,f461,f770]) ).
fof(f770,plain,
( spl17_103
<=> ! [X0] :
( ~ v3_struct_0(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_103])]) ).
fof(f505,plain,
( spl17_57
<=> ! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).
fof(f519,plain,
( ! [X0] :
( ~ v3_struct_0(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_49
| ~ spl17_57 ),
inference(duplicate_literal_removal,[],[f518]) ).
fof(f518,plain,
( ! [X0] :
( ~ v3_struct_0(sK4(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_49
| ~ spl17_57 ),
inference(resolution,[],[f506,f462]) ).
fof(f506,plain,
( ! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) )
| ~ spl17_57 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f768,plain,
( spl17_102
| ~ spl17_38
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f487,f473,f397,f766]) ).
fof(f766,plain,
( spl17_102
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK3(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_102])]) ).
fof(f487,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK3(X1))
| v1_xboole_0(X1) )
| ~ spl17_38
| ~ spl17_52 ),
inference(resolution,[],[f474,f398]) ).
fof(f764,plain,
( spl17_101
| ~ spl17_41
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f485,f473,f409,f762]) ).
fof(f762,plain,
( spl17_101
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_101])]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl17_41
| ~ spl17_52 ),
inference(resolution,[],[f474,f410]) ).
fof(f758,plain,
( spl17_100
| ~ spl17_21
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f489,f473,f318,f756]) ).
fof(f756,plain,
( spl17_100
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_100])]) ).
fof(f318,plain,
( spl17_21
<=> ! [X0] : m1_subset_1(sK6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f489,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) )
| ~ spl17_21
| ~ spl17_52 ),
inference(resolution,[],[f474,f319]) ).
fof(f319,plain,
( ! [X0] : m1_subset_1(sK6(X0),X0)
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f754,plain,
( spl17_99
| ~ spl17_41
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f455,f452,f409,f752]) ).
fof(f752,plain,
( spl17_99
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_99])]) ).
fof(f455,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl17_41
| ~ spl17_48 ),
inference(resolution,[],[f453,f410]) ).
fof(f746,plain,
( spl17_98
| ~ spl17_21
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f457,f452,f318,f744]) ).
fof(f744,plain,
( spl17_98
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_98])]) ).
fof(f457,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) )
| ~ spl17_21
| ~ spl17_48 ),
inference(resolution,[],[f453,f319]) ).
fof(f742,plain,
( spl17_97
| ~ spl17_14
| ~ spl17_18
| ~ spl17_27
| ~ spl17_28
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f441,f421,f349,f345,f306,f287,f740]) ).
fof(f740,plain,
( spl17_97
<=> ! [X0] :
( r2_hidden(sK15,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_97])]) ).
fof(f287,plain,
( spl17_14
<=> v1_xboole_0(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f306,plain,
( spl17_18
<=> ! [X0] : v1_xboole_0(sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f345,plain,
( spl17_27
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f441,plain,
( ! [X0] :
( r2_hidden(sK15,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl17_14
| ~ spl17_18
| ~ spl17_27
| ~ spl17_28
| ~ spl17_43 ),
inference(forward_demodulation,[],[f440,f359]) ).
fof(f359,plain,
( ! [X0] : sK7(X0) = sK15
| ~ spl17_14
| ~ spl17_18
| ~ spl17_27 ),
inference(forward_demodulation,[],[f358,f357]) ).
fof(f357,plain,
( k1_xboole_0 = sK15
| ~ spl17_14
| ~ spl17_27 ),
inference(resolution,[],[f346,f289]) ).
fof(f289,plain,
( v1_xboole_0(sK15)
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f346,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f358,plain,
( ! [X0] : k1_xboole_0 = sK7(X0)
| ~ spl17_18
| ~ spl17_27 ),
inference(resolution,[],[f346,f307]) ).
fof(f307,plain,
( ! [X0] : v1_xboole_0(sK7(X0))
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f440,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK7(X0),k1_zfmisc_1(X0)) )
| ~ spl17_28
| ~ spl17_43 ),
inference(resolution,[],[f422,f350]) ).
fof(f737,plain,
( ~ spl17_96
| ~ spl17_30
| ~ spl17_68 ),
inference(avatar_split_clause,[],[f636,f568,f362,f734]) ).
fof(f734,plain,
( spl17_96
<=> r2_hidden(u1_struct_0(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_96])]) ).
fof(f568,plain,
( spl17_68
<=> r2_hidden(sK2,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).
fof(f636,plain,
( ~ r2_hidden(u1_struct_0(sK0),sK2)
| ~ spl17_30
| ~ spl17_68 ),
inference(resolution,[],[f570,f363]) ).
fof(f570,plain,
( r2_hidden(sK2,u1_struct_0(sK0))
| ~ spl17_68 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f724,plain,
( spl17_95
| ~ spl17_35
| ~ spl17_46 ),
inference(avatar_split_clause,[],[f450,f433,f382,f722]) ).
fof(f722,plain,
( spl17_95
<=> ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_95])]) ).
fof(f382,plain,
( spl17_35
<=> ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).
fof(f433,plain,
( spl17_46
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f450,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl17_35
| ~ spl17_46 ),
inference(resolution,[],[f434,f383]) ).
fof(f383,plain,
( ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1)
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f434,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f720,plain,
( spl17_94
| ~ spl17_34
| ~ spl17_46 ),
inference(avatar_split_clause,[],[f449,f433,f378,f718]) ).
fof(f718,plain,
( spl17_94
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_94])]) ).
fof(f378,plain,
( spl17_34
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).
fof(f449,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl17_34
| ~ spl17_46 ),
inference(resolution,[],[f434,f379]) ).
fof(f379,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl17_34 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f716,plain,
( spl17_93
| ~ spl17_33
| ~ spl17_46 ),
inference(avatar_split_clause,[],[f448,f433,f374,f714]) ).
fof(f714,plain,
( spl17_93
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_93])]) ).
fof(f374,plain,
( spl17_33
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f448,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl17_33
| ~ spl17_46 ),
inference(resolution,[],[f434,f375]) ).
fof(f375,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f712,plain,
( spl17_92
| ~ spl17_32
| ~ spl17_45 ),
inference(avatar_split_clause,[],[f447,f429,f370,f710]) ).
fof(f710,plain,
( spl17_92
<=> ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_92])]) ).
fof(f370,plain,
( spl17_32
<=> ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
fof(f447,plain,
( ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1)
| ~ spl17_32
| ~ spl17_45 ),
inference(resolution,[],[f430,f371]) ).
fof(f371,plain,
( ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1)
| ~ spl17_32 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f708,plain,
( spl17_91
| ~ spl17_21
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f439,f421,f318,f706]) ).
fof(f706,plain,
( spl17_91
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_91])]) ).
fof(f439,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) )
| ~ spl17_21
| ~ spl17_43 ),
inference(resolution,[],[f422,f319]) ).
fof(f702,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_89
| ~ spl17_90
| spl17_9
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f617,f612,f262,f699,f695,f247,f242,f237,f232,f227,f222]) ).
fof(f242,plain,
( spl17_5
<=> v1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f262,plain,
( spl17_9
<=> r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f617,plain,
( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
| ~ m1_subset_1(k3_group_1(sK0,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)
| spl17_9
| ~ spl17_76 ),
inference(resolution,[],[f613,f264]) ).
fof(f264,plain,
( ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1))
| spl17_9 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f690,plain,
( spl17_87
| spl17_88
| ~ spl17_14
| ~ spl17_18
| ~ spl17_27
| ~ spl17_28
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f459,f452,f349,f345,f306,f287,f688,f685]) ).
fof(f685,plain,
( spl17_87
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_87])]) ).
fof(f688,plain,
( spl17_88
<=> ! [X1] : ~ r2_hidden(X1,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_88])]) ).
fof(f459,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK15)
| ~ v1_xboole_0(X0) )
| ~ spl17_14
| ~ spl17_18
| ~ spl17_27
| ~ spl17_28
| ~ spl17_48 ),
inference(forward_demodulation,[],[f458,f359]) ).
fof(f458,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(X0)) )
| ~ spl17_28
| ~ spl17_48 ),
inference(resolution,[],[f453,f350]) ).
fof(f683,plain,
( spl17_86
| ~ spl17_14
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f417,f413,f287,f681]) ).
fof(f681,plain,
( spl17_86
<=> ! [X0] :
( sK15 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).
fof(f413,plain,
( spl17_42
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).
fof(f417,plain,
( ! [X0] :
( sK15 = X0
| ~ v1_xboole_0(X0) )
| ~ spl17_14
| ~ spl17_42 ),
inference(resolution,[],[f414,f289]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f679,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_7
| spl17_85
| ~ spl17_8
| ~ spl17_75 ),
inference(avatar_split_clause,[],[f615,f608,f257,f676,f252,f247,f242,f237,f232,f227,f222]) ).
fof(f257,plain,
( spl17_8
<=> r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f608,plain,
( spl17_75
<=> ! [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,[spl17_75])]) ).
fof(f615,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)
| ~ spl17_8
| ~ spl17_75 ),
inference(resolution,[],[f609,f259]) ).
fof(f259,plain,
( r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f609,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) )
| ~ spl17_75 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f672,plain,
( spl17_84
| ~ spl17_14
| ~ spl17_18
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f359,f345,f306,f287,f670]) ).
fof(f668,plain,
( spl17_83
| ~ spl17_20
| ~ spl17_79 ),
inference(avatar_split_clause,[],[f643,f639,f314,f665]) ).
fof(f665,plain,
( spl17_83
<=> l1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).
fof(f314,plain,
( spl17_20
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f639,plain,
( spl17_79
<=> l1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).
fof(f643,plain,
( l1_struct_0(sK1)
| ~ spl17_20
| ~ spl17_79 ),
inference(resolution,[],[f641,f315]) ).
fof(f315,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f641,plain,
( l1_group_1(sK1)
| ~ spl17_79 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f662,plain,
( spl17_82
| ~ spl17_14
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f357,f345,f287,f659]) ).
fof(f659,plain,
( spl17_82
<=> k1_xboole_0 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).
fof(f653,plain,
( ~ spl17_79
| spl17_81
| ~ spl17_5
| ~ spl17_54 ),
inference(avatar_split_clause,[],[f516,f493,f242,f650,f639]) ).
fof(f650,plain,
( spl17_81
<=> sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).
fof(f493,plain,
( spl17_54
<=> ! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_54])]) ).
fof(f516,plain,
( sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1))
| ~ l1_group_1(sK1)
| ~ spl17_5
| ~ spl17_54 ),
inference(resolution,[],[f494,f244]) ).
fof(f244,plain,
( v1_group_1(sK1)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f494,plain,
( ! [X0] :
( ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ l1_group_1(X0) )
| ~ spl17_54 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f648,plain,
( spl17_80
| ~ spl17_13
| ~ spl17_20 ),
inference(avatar_split_clause,[],[f330,f314,f282,f645]) ).
fof(f645,plain,
( spl17_80
<=> l1_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_80])]) ).
fof(f282,plain,
( spl17_13
<=> l1_group_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f330,plain,
( l1_struct_0(sK14)
| ~ spl17_13
| ~ spl17_20 ),
inference(resolution,[],[f315,f284]) ).
fof(f284,plain,
( l1_group_1(sK14)
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f642,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_4
| spl17_79
| ~ spl17_6
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f523,f513,f247,f639,f237,f227,f222]) ).
fof(f523,plain,
( l1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_59 ),
inference(resolution,[],[f514,f249]) ).
fof(f249,plain,
( m1_group_2(sK1,sK0)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f634,plain,
( spl17_1
| ~ spl17_24
| ~ spl17_39
| ~ spl17_69 ),
inference(avatar_split_clause,[],[f602,f572,f401,f332,f222]) ).
fof(f332,plain,
( spl17_24
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f401,plain,
( spl17_39
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_39])]) ).
fof(f602,plain,
( ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ spl17_39
| ~ spl17_69 ),
inference(resolution,[],[f574,f402]) ).
fof(f402,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl17_39 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f574,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl17_69 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f633,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_4
| spl17_78
| ~ spl17_6
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f520,f509,f247,f630,f237,f227,f222]) ).
fof(f630,plain,
( spl17_78
<=> v3_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).
fof(f520,plain,
( v3_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_58 ),
inference(resolution,[],[f510,f249]) ).
fof(f628,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_77
| ~ spl17_6
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f517,f505,f247,f625,f237,f227,f222]) ).
fof(f625,plain,
( spl17_77
<=> v3_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).
fof(f517,plain,
( ~ v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl17_6
| ~ spl17_57 ),
inference(resolution,[],[f506,f249]) ).
fof(f614,plain,
spl17_76,
inference(avatar_split_clause,[],[f170,f612]) ).
fof(f170,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,[],[f117]) ).
fof(f117,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(f610,plain,
spl17_75,
inference(avatar_split_clause,[],[f169,f608]) ).
fof(f169,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,[],[f117]) ).
fof(f600,plain,
spl17_74,
inference(avatar_split_clause,[],[f197,f598]) ).
fof(f598,plain,
( spl17_74
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_74])]) ).
fof(f197,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,[],[f101]) ).
fof(f101,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,[],[f100]) ).
fof(f100,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(f596,plain,
spl17_73,
inference(avatar_split_clause,[],[f196,f594]) ).
fof(f594,plain,
( spl17_73
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).
fof(f196,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,[],[f101]) ).
fof(f592,plain,
spl17_72,
inference(avatar_split_clause,[],[f168,f590]) ).
fof(f168,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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,[],[f53]) ).
fof(f53,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_group_2(X2,X0)
=> ( r1_rlvect_1(X2,X1)
=> r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_group_2) ).
fof(f583,plain,
spl17_71,
inference(avatar_split_clause,[],[f195,f581]) ).
fof(f195,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,[],[f99]) ).
fof(f99,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,[],[f98]) ).
fof(f98,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(f579,plain,
spl17_70,
inference(avatar_split_clause,[],[f194,f577]) ).
fof(f194,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,[],[f99]) ).
fof(f575,plain,
( spl17_68
| spl17_69
| ~ spl17_7
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f437,f421,f252,f572,f568]) ).
fof(f437,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(sK2,u1_struct_0(sK0))
| ~ spl17_7
| ~ spl17_43 ),
inference(resolution,[],[f422,f254]) ).
fof(f254,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f566,plain,
spl17_67,
inference(avatar_split_clause,[],[f188,f564]) ).
fof(f188,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),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,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),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,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),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,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f555,plain,
spl17_66,
inference(avatar_split_clause,[],[f191,f553]) ).
fof(f191,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,[],[f97]) ).
fof(f97,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,[],[f96]) ).
fof(f96,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(f551,plain,
spl17_65,
inference(avatar_split_clause,[],[f183,f549]) ).
fof(f183,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(f547,plain,
spl17_64,
inference(avatar_split_clause,[],[f167,f545]) ).
fof(f167,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,[],[f12]) ).
fof(f12,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(f543,plain,
spl17_63,
inference(avatar_split_clause,[],[f166,f541]) ).
fof(f166,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(f538,plain,
spl17_62,
inference(avatar_split_clause,[],[f210,f536]) ).
fof(f536,plain,
( spl17_62
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).
fof(f210,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,[],[f107]) ).
fof(f107,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,[],[f106]) ).
fof(f106,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(f533,plain,
spl17_61,
inference(avatar_split_clause,[],[f161,f531]) ).
fof(f161,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(f529,plain,
spl17_60,
inference(avatar_split_clause,[],[f160,f527]) ).
fof(f160,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(f515,plain,
spl17_59,
inference(avatar_split_clause,[],[f173,f513]) ).
fof(f173,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(f511,plain,
spl17_58,
inference(avatar_split_clause,[],[f172,f509]) ).
fof(f172,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(f507,plain,
spl17_57,
inference(avatar_split_clause,[],[f171,f505]) ).
fof(f171,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(f503,plain,
spl17_56,
inference(avatar_split_clause,[],[f165,f501]) ).
fof(f501,plain,
( spl17_56
<=> ! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_56])]) ).
fof(f165,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(f499,plain,
spl17_55,
inference(avatar_split_clause,[],[f164,f497]) ).
fof(f497,plain,
( spl17_55
<=> ! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_55])]) ).
fof(f164,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(f495,plain,
spl17_54,
inference(avatar_split_clause,[],[f162,f493]) ).
fof(f162,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(f480,plain,
( spl17_53
| ~ spl17_8
| ~ spl17_31 ),
inference(avatar_split_clause,[],[f390,f366,f257,f477]) ).
fof(f477,plain,
( spl17_53
<=> m1_subset_1(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).
fof(f390,plain,
( m1_subset_1(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl17_8
| ~ spl17_31 ),
inference(resolution,[],[f367,f259]) ).
fof(f475,plain,
spl17_52,
inference(avatar_split_clause,[],[f211,f473]) ).
fof(f211,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(f471,plain,
spl17_51,
inference(avatar_split_clause,[],[f208,f469]) ).
fof(f208,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,[],[f105]) ).
fof(f105,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(f467,plain,
spl17_50,
inference(avatar_split_clause,[],[f176,f465]) ).
fof(f176,plain,
! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f85,f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(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(f463,plain,
spl17_49,
inference(avatar_split_clause,[],[f174,f461]) ).
fof(f174,plain,
! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( m1_group_2(sK4(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f81,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] : m1_group_2(X1,X0)
=> m1_group_2(sK4(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(f454,plain,
spl17_48,
inference(avatar_split_clause,[],[f214,f452]) ).
fof(f214,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,[],[f52]) ).
fof(f52,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(f446,plain,
( ~ spl17_47
| ~ spl17_8
| ~ spl17_30 ),
inference(avatar_split_clause,[],[f389,f362,f257,f443]) ).
fof(f443,plain,
( spl17_47
<=> r2_hidden(k1_funct_1(k1_latsubgr(sK0),sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
fof(f389,plain,
( ~ r2_hidden(k1_funct_1(k1_latsubgr(sK0),sK1),sK2)
| ~ spl17_8
| ~ spl17_30 ),
inference(resolution,[],[f363,f259]) ).
fof(f435,plain,
spl17_46,
inference(avatar_split_clause,[],[f213,f433]) ).
fof(f213,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,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(f431,plain,
spl17_45,
inference(avatar_split_clause,[],[f212,f429]) ).
fof(f212,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f427,plain,
spl17_44,
inference(avatar_split_clause,[],[f189,f425]) ).
fof(f425,plain,
( spl17_44
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f189,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,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(f423,plain,
spl17_43,
inference(avatar_split_clause,[],[f187,f421]) ).
fof(f187,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(f415,plain,
spl17_42,
inference(avatar_split_clause,[],[f199,f413]) ).
fof(f199,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,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(f411,plain,
spl17_41,
inference(avatar_split_clause,[],[f198,f409]) ).
fof(f198,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,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(f407,plain,
spl17_40,
inference(avatar_split_clause,[],[f177,f405]) ).
fof(f405,plain,
( spl17_40
<=> ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).
fof(f177,plain,
! [X0] :
( ~ v1_xboole_0(sK5(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f403,plain,
spl17_39,
inference(avatar_split_clause,[],[f175,f401]) ).
fof(f175,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(f399,plain,
spl17_38,
inference(avatar_split_clause,[],[f156,f397]) ).
fof(f156,plain,
! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f64,f115]) ).
fof(f115,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(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(f395,plain,
( ~ spl17_37
| ~ spl17_8
| ~ spl17_29 ),
inference(avatar_split_clause,[],[f360,f353,f257,f392]) ).
fof(f392,plain,
( spl17_37
<=> v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).
fof(f360,plain,
( ~ v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl17_8
| ~ spl17_29 ),
inference(resolution,[],[f354,f259]) ).
fof(f388,plain,
spl17_36,
inference(avatar_split_clause,[],[f207,f386]) ).
fof(f207,plain,
! [X0,X1] : v1_funct_2(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f60,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK11(X0,X1),X0,X1)
& v1_funct_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(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(f384,plain,
spl17_35,
inference(avatar_split_clause,[],[f205,f382]) ).
fof(f205,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f133]) ).
fof(f380,plain,
spl17_34,
inference(avatar_split_clause,[],[f203,f378]) ).
fof(f203,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( v1_funct_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f59,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(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(f376,plain,
spl17_33,
inference(avatar_split_clause,[],[f202,f374]) ).
fof(f202,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f28,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f372,plain,
spl17_32,
inference(avatar_split_clause,[],[f201,f370]) ).
fof(f201,plain,
! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f30,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f368,plain,
spl17_31,
inference(avatar_split_clause,[],[f186,f366]) ).
fof(f186,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(f364,plain,
spl17_30,
inference(avatar_split_clause,[],[f185,f362]) ).
fof(f185,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(f355,plain,
spl17_29,
inference(avatar_split_clause,[],[f200,f353]) ).
fof(f200,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,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(f351,plain,
spl17_28,
inference(avatar_split_clause,[],[f179,f349]) ).
fof(f179,plain,
! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f41,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f347,plain,
spl17_27,
inference(avatar_split_clause,[],[f163,f345]) ).
fof(f163,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(f343,plain,
spl17_26,
inference(avatar_split_clause,[],[f159,f341]) ).
fof(f341,plain,
( spl17_26
<=> ! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f159,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f339,plain,
spl17_25,
inference(avatar_split_clause,[],[f157,f337]) ).
fof(f337,plain,
( spl17_25
<=> ! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f157,plain,
! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f335,plain,
( spl17_24
| ~ spl17_4
| ~ spl17_20 ),
inference(avatar_split_clause,[],[f329,f314,f237,f332]) ).
fof(f329,plain,
( l1_struct_0(sK0)
| ~ spl17_4
| ~ spl17_20 ),
inference(resolution,[],[f315,f239]) ).
fof(f239,plain,
( l1_group_1(sK0)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f328,plain,
spl17_23,
inference(avatar_split_clause,[],[f206,f326]) ).
fof(f326,plain,
( spl17_23
<=> ! [X0,X1] : v1_funct_1(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f206,plain,
! [X0,X1] : v1_funct_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f133]) ).
fof(f324,plain,
spl17_22,
inference(avatar_split_clause,[],[f204,f322]) ).
fof(f322,plain,
( spl17_22
<=> ! [X0,X1] : v1_funct_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f204,plain,
! [X0,X1] : v1_funct_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f131]) ).
fof(f320,plain,
spl17_21,
inference(avatar_split_clause,[],[f178,f318]) ).
fof(f178,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f29,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f316,plain,
spl17_20,
inference(avatar_split_clause,[],[f158,f314]) ).
fof(f158,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(f312,plain,
spl17_19,
inference(avatar_split_clause,[],[f181,f310]) ).
fof(f310,plain,
( spl17_19
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f181,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(f308,plain,
spl17_18,
inference(avatar_split_clause,[],[f180,f306]) ).
fof(f180,plain,
! [X0] : v1_xboole_0(sK7(X0)),
inference(cnf_transformation,[],[f125]) ).
fof(f304,plain,
spl17_17,
inference(avatar_split_clause,[],[f155,f302]) ).
fof(f302,plain,
( spl17_17
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f155,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(f300,plain,
~ spl17_16,
inference(avatar_split_clause,[],[f220,f297]) ).
fof(f297,plain,
( spl17_16
<=> v3_struct_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f220,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ~ v3_struct_0(sK16)
& l1_struct_0(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f43,f143]) ).
fof(f143,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK16)
& l1_struct_0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f295,plain,
spl17_15,
inference(avatar_split_clause,[],[f219,f292]) ).
fof(f292,plain,
( spl17_15
<=> l1_struct_0(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f219,plain,
l1_struct_0(sK16),
inference(cnf_transformation,[],[f144]) ).
fof(f290,plain,
spl17_14,
inference(avatar_split_clause,[],[f218,f287]) ).
fof(f218,plain,
v1_xboole_0(sK15),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
v1_xboole_0(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f39,f141]) ).
fof(f141,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK15) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f285,plain,
spl17_13,
inference(avatar_split_clause,[],[f217,f282]) ).
fof(f217,plain,
l1_group_1(sK14),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
l1_group_1(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f25,f139]) ).
fof(f139,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK14) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f280,plain,
spl17_12,
inference(avatar_split_clause,[],[f216,f277]) ).
fof(f277,plain,
( spl17_12
<=> l1_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f216,plain,
l1_struct_0(sK13),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
l1_struct_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f26,f137]) ).
fof(f137,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f275,plain,
~ spl17_11,
inference(avatar_split_clause,[],[f215,f272]) ).
fof(f272,plain,
( spl17_11
<=> v1_xboole_0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f215,plain,
~ v1_xboole_0(sK12),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
~ v1_xboole_0(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f42,f135]) ).
fof(f135,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK12) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f270,plain,
spl17_10,
inference(avatar_split_clause,[],[f154,f267]) ).
fof(f267,plain,
( spl17_10
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f154,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(f265,plain,
~ spl17_9,
inference(avatar_split_clause,[],[f153,f262]) ).
fof(f153,plain,
~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& 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])],[f63,f113,f112,f111]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& 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) )
=> ( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(sK0,X2),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& 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] :
( ~ r2_hidden(k3_group_1(sK0,X2),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ? [X2] :
( ~ r2_hidden(k3_group_1(sK0,X2),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X2] :
( ~ r2_hidden(k3_group_1(sK0,X2),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& 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(flattening,[],[f62]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& 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(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))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),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))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(f260,plain,
spl17_8,
inference(avatar_split_clause,[],[f152,f257]) ).
fof(f152,plain,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f114]) ).
fof(f255,plain,
spl17_7,
inference(avatar_split_clause,[],[f151,f252]) ).
fof(f151,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f114]) ).
fof(f250,plain,
spl17_6,
inference(avatar_split_clause,[],[f150,f247]) ).
fof(f150,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f245,plain,
spl17_5,
inference(avatar_split_clause,[],[f149,f242]) ).
fof(f149,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f114]) ).
fof(f240,plain,
spl17_4,
inference(avatar_split_clause,[],[f148,f237]) ).
fof(f148,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f235,plain,
spl17_3,
inference(avatar_split_clause,[],[f147,f232]) ).
fof(f147,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f230,plain,
spl17_2,
inference(avatar_split_clause,[],[f146,f227]) ).
fof(f146,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f225,plain,
~ spl17_1,
inference(avatar_split_clause,[],[f145,f222]) ).
fof(f145,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 20:38:52 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (25828)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (25831)WARNING: value z3 for option sas not known
% 0.09/0.31 % (25829)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 % (25831)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)
% 0.09/0.31 % (25833)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)
% 0.09/0.31 % (25835)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)
% 0.09/0.31 % (25832)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.31 % (25830)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.31 % (25834)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 % (25833)First to succeed.
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 % (25833)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25828"
% 0.15/0.32 % (25833)Refutation found. Thanks to Tanya!
% 0.15/0.32 % SZS status Theorem for theBenchmark
% 0.15/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32 % (25833)------------------------------
% 0.15/0.32 % (25833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (25833)Termination reason: Refutation
% 0.15/0.32
% 0.15/0.32 % (25833)Memory used [KB]: 1221
% 0.15/0.32 % (25833)Time elapsed: 0.015 s
% 0.15/0.32 % (25833)Instructions burned: 37 (million)
% 0.15/0.32 % (25828)Success in time 0.027 s
%------------------------------------------------------------------------------