TSTP Solution File: GRP641+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP641+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 : n003.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 06:10:07 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 38
% Syntax : Number of formulae : 191 ( 34 unt; 0 def)
% Number of atoms : 645 ( 57 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 753 ( 299 ~; 309 |; 102 &)
% ( 13 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 11 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-2 aty)
% Number of variables : 182 ( 162 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1064,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f266,f267,f268,f325,f418,f427,f540,f849,f871,f930,f1063]) ).
fof(f1063,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f1061,f844]) ).
fof(f844,plain,
( r2_hidden(k2_group_1(sK0),u1_struct_0(sK1))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f842,plain,
( spl17_7
<=> r2_hidden(k2_group_1(sK0),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f1061,plain,
~ r2_hidden(k2_group_1(sK0),u1_struct_0(sK1)),
inference(superposition,[],[f153,f1060]) ).
fof(f1060,plain,
k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1),
inference(subsumption_resolution,[],[f1059,f147]) ).
fof(f147,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
& 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])],[f63,f112,f111]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& 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] :
( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),X1))
& 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] :
( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),X1))
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& 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] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& 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) )
=> r2_hidden(k2_group_1(X0),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) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
fof(f1059,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1058,f148]) ).
fof(f148,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f1058,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1057,f149]) ).
fof(f149,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f1057,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1056,f150]) ).
fof(f150,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f1056,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1053,f151]) ).
fof(f151,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f113]) ).
fof(f1053,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f224,f152]) ).
fof(f152,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f224,plain,
! [X3,X0] :
( ~ m1_group_2(X3,X0)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(global_subsumption,[],[f153,f152,f151,f150,f149,f148,f147,f154,f155,f157,f156,f158,f161,f160,f159,f162,f163,f164,f167,f166,f165,f168,f172,f171,f170,f223]) ).
fof(f223,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ 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(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_latsubgr(X0) != X1
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1)) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f117,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_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] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_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] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f170,plain,
! [X0,X1] :
( k1_latsubgr(X0) = X1
| v1_group_1(sK3(X0,X1))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f171,plain,
! [X0,X1] :
( k1_latsubgr(X0) = X1
| m1_group_2(sK3(X0,X1),X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f172,plain,
! [X0,X1] :
( k1_latsubgr(X0) = X1
| k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f168,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| k2_group_1(X0) = k2_group_1(X1)
| ~ 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] :
( k2_group_1(X0) = k2_group_1(X1)
| ~ m1_group_2(X1,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] :
( k2_group_1(X0) = k2_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k2_group_1(X0) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).
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(f73,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(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(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(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,[],[f32]) ).
fof(f32,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(f163,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_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(f162,plain,
! [X0] :
( ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = 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(f159,plain,
! [X0] :
( v1_funct_1(u1_group_1(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,[],[f24]) ).
fof(f24,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(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(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(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,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f156,plain,
! [X0] :
( m1_subset_1(sK2(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ~ v1_xboole_0(sK2(X0))
& m1_subset_1(sK2(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f64,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK2(X0))
& m1_subset_1(sK2(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,[],[f39]) ).
fof(f39,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(f157,plain,
! [X0] :
( ~ v1_xboole_0(sK2(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f155,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f154,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f153,plain,
~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f113]) ).
fof(f930,plain,
( spl17_9
| spl17_10 ),
inference(avatar_split_clause,[],[f454,f927,f923]) ).
fof(f923,plain,
( spl17_9
<=> v1_xboole_0(sK2(sK2(k1_zfmisc_1(k1_xboole_0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f927,plain,
( spl17_10
<=> r2_hidden(k1_xboole_0,sK2(sK2(k1_zfmisc_1(k1_xboole_0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f454,plain,
( r2_hidden(k1_xboole_0,sK2(sK2(k1_zfmisc_1(k1_xboole_0))))
| v1_xboole_0(sK2(sK2(k1_zfmisc_1(k1_xboole_0)))) ),
inference(superposition,[],[f239,f437]) ).
fof(f437,plain,
k1_xboole_0 = sK6(sK2(sK2(k1_zfmisc_1(k1_xboole_0)))),
inference(resolution,[],[f403,f154]) ).
fof(f403,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK6(sK2(sK2(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f395,f163]) ).
fof(f395,plain,
! [X0] :
( v1_xboole_0(sK6(sK2(sK2(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f359,f239]) ).
fof(f359,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK6(sK2(sK2(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f356,f155]) ).
fof(f356,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK2(sK2(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f346,f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f346,plain,
! [X0] :
( m1_subset_1(sK6(sK2(sK2(X0))),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f343,f157]) ).
fof(f343,plain,
! [X0] :
( v1_xboole_0(sK2(X0))
| m1_subset_1(sK6(sK2(sK2(X0))),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f337,f313]) ).
fof(f313,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK2(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f213,f156]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,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(f337,plain,
! [X0] :
( r2_hidden(sK6(sK2(X0)),X0)
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f334,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(X0)
| r2_hidden(sK6(sK2(X0)),X0) ),
inference(resolution,[],[f333,f190]) ).
fof(f190,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f92]) ).
fof(f92,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(f333,plain,
! [X0] :
( m1_subset_1(sK6(sK2(X0)),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f332,f157]) ).
fof(f332,plain,
! [X0] :
( m1_subset_1(sK6(sK2(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK2(X0)) ),
inference(resolution,[],[f313,f239]) ).
fof(f239,plain,
! [X0] :
( r2_hidden(sK6(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f190,f181]) ).
fof(f181,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f30,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f871,plain,
( ~ spl17_3
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f870,plain,
( $false
| ~ spl17_3
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f869,f319]) ).
fof(f319,plain,
( l1_group_1(sK1)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl17_3
<=> l1_group_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f869,plain,
( ~ l1_group_1(sK1)
| ~ spl17_8 ),
inference(resolution,[],[f868,f158]) ).
fof(f868,plain,
( ~ l1_struct_0(sK1)
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f850,f436]) ).
fof(f436,plain,
~ v3_struct_0(sK1),
inference(subsumption_resolution,[],[f435,f147]) ).
fof(f435,plain,
( ~ v3_struct_0(sK1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f434,f148]) ).
fof(f434,plain,
( ~ v3_struct_0(sK1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f431,f150]) ).
fof(f431,plain,
( ~ v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f173,f152]) ).
fof(f173,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ 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,[],[f20]) ).
fof(f20,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(f850,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| ~ spl17_8 ),
inference(resolution,[],[f848,f177]) ).
fof(f177,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,[],[f33]) ).
fof(f33,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(f848,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f846,plain,
( spl17_8
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f849,plain,
( spl17_7
| spl17_8
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f840,f318,f846,f842]) ).
fof(f840,plain,
( v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(k2_group_1(sK0),u1_struct_0(sK1))
| ~ spl17_3 ),
inference(resolution,[],[f839,f190]) ).
fof(f839,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f838,f436]) ).
fof(f838,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f837,f319]) ).
fof(f837,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[],[f180,f836]) ).
fof(f836,plain,
k2_group_1(sK0) = k2_group_1(sK1),
inference(subsumption_resolution,[],[f835,f147]) ).
fof(f835,plain,
( k2_group_1(sK0) = k2_group_1(sK1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f834,f148]) ).
fof(f834,plain,
( k2_group_1(sK0) = k2_group_1(sK1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f833,f149]) ).
fof(f833,plain,
( k2_group_1(sK0) = k2_group_1(sK1)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f830,f150]) ).
fof(f830,plain,
( k2_group_1(sK0) = k2_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f168,f152]) ).
fof(f180,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f540,plain,
spl17_3,
inference(avatar_contradiction_clause,[],[f539]) ).
fof(f539,plain,
( $false
| spl17_3 ),
inference(subsumption_resolution,[],[f538,f147]) ).
fof(f538,plain,
( v3_struct_0(sK0)
| spl17_3 ),
inference(subsumption_resolution,[],[f537,f148]) ).
fof(f537,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_3 ),
inference(subsumption_resolution,[],[f536,f150]) ).
fof(f536,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| spl17_3 ),
inference(subsumption_resolution,[],[f533,f320]) ).
fof(f320,plain,
( ~ l1_group_1(sK1)
| spl17_3 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f533,plain,
( l1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f175,f152]) ).
fof(f175,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f427,plain,
~ spl17_5,
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f426,plain,
( $false
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f419,f155]) ).
fof(f419,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| ~ spl17_5 ),
inference(resolution,[],[f413,f157]) ).
fof(f413,plain,
( v1_xboole_0(sK2(k1_zfmisc_1(k1_xboole_0)))
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl17_5
<=> v1_xboole_0(sK2(k1_zfmisc_1(k1_xboole_0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f418,plain,
( spl17_5
| spl17_6 ),
inference(avatar_split_clause,[],[f373,f415,f411]) ).
fof(f415,plain,
( spl17_6
<=> r2_hidden(k1_xboole_0,sK2(k1_zfmisc_1(k1_xboole_0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f373,plain,
( r2_hidden(k1_xboole_0,sK2(k1_zfmisc_1(k1_xboole_0)))
| v1_xboole_0(sK2(k1_zfmisc_1(k1_xboole_0))) ),
inference(superposition,[],[f239,f360]) ).
fof(f360,plain,
k1_xboole_0 = sK6(sK2(k1_zfmisc_1(k1_xboole_0))),
inference(resolution,[],[f353,f154]) ).
fof(f353,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK6(sK2(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f347,f163]) ).
fof(f347,plain,
! [X0] :
( v1_xboole_0(sK6(sK2(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f339,f239]) ).
fof(f339,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK6(sK2(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f336,f155]) ).
fof(f336,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK2(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f333,f216]) ).
fof(f325,plain,
( ~ spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f316,f322,f318]) ).
fof(f322,plain,
( spl17_4
<=> sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f316,plain,
( sK1 = g1_group_1(u1_struct_0(sK1),u1_group_1(sK1))
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f162,f151]) ).
fof(f268,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl17_2 ),
inference(resolution,[],[f261,f154]) ).
fof(f261,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl17_2
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f267,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl17_2 ),
inference(resolution,[],[f261,f220]) ).
fof(f220,plain,
v1_xboole_0(sK15),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
v1_xboole_0(sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f40,f143]) ).
fof(f143,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK15) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f266,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl17_2 ),
inference(resolution,[],[f261,f183]) ).
fof(f183,plain,
! [X0] : v1_xboole_0(sK7(X0)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f42,f126]) ).
fof(f126,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(f42,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(f262,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f253,f260,f257]) ).
fof(f257,plain,
( spl17_1
<=> ! [X1] : ~ r2_hidden(X1,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f253,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,k1_xboole_0) ),
inference(resolution,[],[f216,f230]) ).
fof(f230,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(forward_demodulation,[],[f182,f227]) ).
fof(f227,plain,
! [X0] : k1_xboole_0 = sK7(X0),
inference(resolution,[],[f163,f183]) ).
fof(f182,plain,
! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:42:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (22765)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (22768)WARNING: value z3 for option sas not known
% 0.15/0.38 % (22769)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (22767)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (22766)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (22770)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)
% 0.15/0.38 % (22768)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)
% 0.15/0.38 % (22772)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)
% 0.15/0.38 % (22771)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [4]
% 0.15/0.41 % (22768)First to succeed.
% 0.15/0.41 % (22768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22765"
% 0.15/0.41 % (22770)Also succeeded, but the first one will report.
% 0.15/0.41 % (22768)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42 % (22768)------------------------------
% 0.15/0.42 % (22768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.42 % (22768)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (22768)Memory used [KB]: 1263
% 0.15/0.42 % (22768)Time elapsed: 0.039 s
% 0.15/0.42 % (22768)Instructions burned: 61 (million)
% 0.15/0.42 % (22765)Success in time 0.056 s
%------------------------------------------------------------------------------