%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP641+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:21 AM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 99 ( 17 unt; 3 def)
% Number of atoms : 362 ( 27 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 446 ( 183 ~; 193 |; 48 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 69 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
=> ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f18,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f33,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f49,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f52,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k2_group_1(X1) = k2_group_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_group_2) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f62]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0] :
( ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f78,plain,
! [X0] :
( ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f80,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f82]) ).
fof(f90,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f91,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f100,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f101,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X1) = k2_group_1(X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( k2_group_1(X1) = k2_group_1(X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f105]) ).
fof(f111,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f112,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f63]) ).
fof(f113,plain,
~ r2_hidden(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f63]) ).
fof(f114,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f115,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f116,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f117,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(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)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k1_funct_1(X1,X2) = u1_struct_0(X2)
| k1_latsubgr(X0) != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f130,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f131,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f132,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k1_latsubgr(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f133,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f134,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f135,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f149,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f174,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f177,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| k2_group_1(X0) = k2_group_1(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f182,plain,
! [X2,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))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2) ),
inference(equality_resolution,[],[f124]) ).
fof(f183,plain,
! [X2,X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_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))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2) ),
inference(forward_subsumption_resolution,[],[f182,f130]) ).
fof(f184,plain,
! [X2,X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2) ),
inference(forward_subsumption_resolution,[],[f183,f131]) ).
fof(f185,plain,
! [X2,X0] :
( ~ v1_group_1(X2)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| u1_struct_0(X2) = k1_funct_1(k1_latsubgr(X0),X2) ),
inference(forward_subsumption_resolution,[],[f184,f132]) ).
fof(f194,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f149,f134]) ).
fof(f230,plain,
( ~ m1_subset_1(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
| v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1)) ),
inference(resolution,[],[f174,f113]) ).
fof(f234,definition,
( spl17_4
<=> v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f236,plain,
( v1_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1))
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,definition,
( spl17_5
<=> m1_subset_1(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1)) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f240,plain,
( ~ m1_subset_1(k2_group_1(sK0),k1_funct_1(k1_latsubgr(sK0),sK1))
| spl17_5 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,plain,
( spl17_4
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f230,f238,f234]) ).
fof(f265,definition,
( spl17_8
<=> l1_group_1(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f266,plain,
( l1_group_1(sK1)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ l1_group_1(sK1)
| spl17_8 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f273,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| l1_group_1(sK1) ),
inference(resolution,[],[f135,f111]) ).
fof(f276,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f273,f116]) ).
fof(f277,plain,
( ~ l1_group_1(sK0)
| l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f276,f117]) ).
fof(f278,plain,
l1_group_1(sK1),
inference(forward_subsumption_resolution,[],[f277,f114]) ).
fof(f279,plain,
( $false
| spl17_8 ),
inference(forward_subsumption_resolution,[],[f278,f267]) ).
fof(f280,plain,
spl17_8,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f287,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_struct_0(sK1) ),
inference(resolution,[],[f137,f111]) ).
fof(f290,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f287,f116]) ).
fof(f291,plain,
( ~ l1_group_1(sK0)
| ~ v3_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f290,f117]) ).
fof(f292,plain,
~ v3_struct_0(sK1),
inference(forward_subsumption_resolution,[],[f291,f114]) ).
fof(f294,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f292,f194]) ).
fof(f295,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f294,f266]) ).
fof(f316,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| k2_group_1(sK0) = k2_group_1(sK1) ),
inference(resolution,[],[f177,f111]) ).
fof(f319,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| k2_group_1(sK0) = k2_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f316,f115]) ).
fof(f320,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| k2_group_1(sK0) = k2_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f319,f116]) ).
fof(f321,plain,
( ~ l1_group_1(sK0)
| k2_group_1(sK0) = k2_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f320,f117]) ).
fof(f322,plain,
k2_group_1(sK0) = k2_group_1(sK1),
inference(forward_subsumption_resolution,[],[f321,f114]) ).
fof(f323,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_group_1(sK1) ),
inference(superposition,[],[f133,f322]) ).
fof(f324,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f323,f292]) ).
fof(f325,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f324,f266]) ).
fof(f336,plain,
! [X0] :
( ~ m1_group_2(sK1,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| u1_struct_0(sK1) = k1_funct_1(k1_latsubgr(X0),sK1) ),
inference(resolution,[],[f185,f112]) ).
fof(f338,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(resolution,[],[f336,f111]) ).
fof(f339,plain,
( v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f338,f116]) ).
fof(f340,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f339,f117]) ).
fof(f341,plain,
( ~ l1_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f340,f115]) ).
fof(f342,plain,
k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1),
inference(forward_subsumption_resolution,[],[f341,f114]) ).
fof(f350,plain,
( ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK1))
| spl17_5 ),
inference(superposition,[],[f240,f342]) ).
fof(f352,plain,
( $false
| spl17_5
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f350,f325]) ).
fof(f353,plain,
( spl17_5
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f354,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f236,f342]) ).
fof(f356,plain,
( $false
| ~ spl17_4
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f354,f295]) ).
fof(f357,plain,
( ~ spl17_4
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f356]) ).
cnf(s3,plain,
( spl17_4
| ~ spl17_5 ),
inference(sat_conversion,[],[f241]) ).
cnf(s6,plain,
spl17_8,
inference(sat_conversion,[],[f280]) ).
cnf(s7,plain,
( spl17_5
| ~ spl17_8 ),
inference(sat_conversion,[],[f353]) ).
cnf(s8,plain,
( ~ spl17_4
| ~ spl17_8 ),
inference(sat_conversion,[],[f357]) ).
cnf(s9,plain,
~ spl17_4,
inference(rat,[],[s8,s6]) ).
cnf(s10,plain,
spl17_5,
inference(rat,[],[s7,s6]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s10,s9]) ).
fof(f358,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP641+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 10:22:17 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % (3789847)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (3789858)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1329808591:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (3789853)% WARNING: option uhcvi not known.
% 0.18/0.48 % (3789852)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=995687492_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (3789853)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2140178656:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (3789854)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3134169435:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (3789855)dis+10_1_sil=32000:sp=arity:random_seed=2619726916:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (3789856)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=636818514:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (3789857)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2162463933:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % (3789856) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3789847-3789856"...
% 0.18/0.48 % (3789855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3789847-3789855"...
% 0.18/0.48 % (3789856)...printing done.
% 0.18/0.48 % (3789855)...printing done.
% 0.18/0.48 % (3789856)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (3789856)------------------------------
% 0.18/0.48 % (3789856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (3789856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (3789856)CaDiCaL version: 2.1.3
% 0.18/0.48 % (3789856)Termination reason: Refutation
% 0.18/0.48 % (3789856)Time elapsed: 0.010 s
% 0.18/0.48 % (3789856)Peak memory usage: 12 MB
% 0.18/0.48 % (3789856)Instructions burned: 12 (million)
% 0.18/0.48 % (3789847)Success in time 0.051 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------