%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP642+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:15:14 AM UTC 2026
% Result : Theorem 2.68s 1.28s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 80 ( 18 unt; 3 def)
% Number of atoms : 340 ( 37 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 442 ( 182 ~; 183 |; 59 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 62 !; 6 ?)
% 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) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_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) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f17,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f19,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/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f32,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f34,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& 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(f61,plain,
? [X0] :
( ? [X1] :
( k1_funct_1(k1_latsubgr(X0),X1) = k1_xboole_0
& 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,[],[f60]) ).
fof(f71,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(f72,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,[],[f71]) ).
fof(f75,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(f76,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,[],[f75]) ).
fof(f77,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,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,[],[f19]) ).
fof(f79,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,[],[f78]) ).
fof(f86,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f87,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f86]) ).
fof(f105,plain,
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1)
& v1_group_1(sK1)
& m1_group_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f61]) ).
fof(f106,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) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| k1_latsubgr(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))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f72]) ).
fof(f107,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) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
| k1_latsubgr(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))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ( k1_funct_1(X1,sK2(X0,X1)) != u1_struct_0(sK2(X0,X1))
& v1_group_1(sK2(X0,X1))
& m1_group_2(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
| k1_latsubgr(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))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f107]) ).
fof(f124,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f125,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f126,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f127,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f128,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f129,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f105]) ).
fof(f130,plain,
k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1),
inference(cnf_transformation,[],[f105]) ).
fof(f142,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| k1_latsubgr(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)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f148,plain,
! [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(cnf_transformation,[],[f76]) ).
fof(f149,plain,
! [X0] :
( v1_funct_2(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(cnf_transformation,[],[f76]) ).
fof(f150,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f151,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f152,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f154,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f166,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f168,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f34]) ).
fof(f198,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,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(equality_resolution,[],[f142]) ).
fof(f224,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,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(forward_subsumption_resolution,[],[f198,f150]) ).
fof(f225,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,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(forward_subsumption_resolution,[],[f224,f149]) ).
fof(f226,plain,
! [X3,X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f225,f148]) ).
fof(f227,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f226,f125]) ).
fof(f228,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f227,f127]) ).
fof(f229,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f228,f126]) ).
fof(f230,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0) ),
inference(forward_subsumption_resolution,[],[f229,f124]) ).
fof(f231,plain,
( ~ v1_group_1(sK1)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(resolution,[],[f230,f128]) ).
fof(f236,plain,
k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1),
inference(forward_subsumption_resolution,[],[f231,f129]) ).
fof(f239,plain,
k1_xboole_0 = u1_struct_0(sK1),
inference(forward_demodulation,[],[f236,f130]) ).
fof(f258,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(superposition,[],[f166,f239]) ).
fof(f261,definition,
( spl17_3
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f263,plain,
( ~ l1_struct_0(sK1)
| spl17_3 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl17_4
<=> v3_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f267,plain,
( v3_struct_0(sK1)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f273,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f258,f168]) ).
fof(f275,definition,
( spl17_6
<=> l1_group_1(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f277,plain,
( ~ l1_group_1(sK1)
| spl17_6 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f307,plain,
( ~ spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f273,f265,f261]) ).
fof(f313,plain,
( ~ l1_group_1(sK1)
| spl17_3 ),
inference(resolution,[],[f263,f151]) ).
fof(f314,plain,
( ~ spl17_6
| spl17_3 ),
inference(avatar_split_clause,[],[f313,f261,f275]) ).
fof(f315,plain,
( ! [X0] :
( ~ m1_group_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| spl17_6 ),
inference(resolution,[],[f277,f152]) ).
fof(f319,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl17_6 ),
inference(resolution,[],[f315,f128]) ).
fof(f320,plain,
( ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl17_6 ),
inference(forward_subsumption_resolution,[],[f319,f127]) ).
fof(f321,plain,
( ~ l1_group_1(sK0)
| spl17_6 ),
inference(forward_subsumption_resolution,[],[f320,f126]) ).
fof(f322,plain,
( $false
| spl17_6 ),
inference(forward_subsumption_resolution,[],[f321,f124]) ).
fof(f323,plain,
spl17_6,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f325,plain,
( ! [X0] :
( ~ m1_group_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl17_4 ),
inference(resolution,[],[f267,f154]) ).
fof(f393,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl17_4 ),
inference(resolution,[],[f325,f128]) ).
fof(f394,plain,
( ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f393,f127]) ).
fof(f395,plain,
( ~ l1_group_1(sK0)
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f394,f126]) ).
fof(f396,plain,
( $false
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f395,f124]) ).
fof(f397,plain,
~ spl17_4,
inference(avatar_contradiction_clause,[],[f396]) ).
cnf(s7,plain,
( ~ spl17_3
| spl17_4 ),
inference(sat_conversion,[],[f307]) ).
cnf(s9,plain,
( spl17_3
| ~ spl17_6 ),
inference(sat_conversion,[],[f314]) ).
cnf(s10,plain,
spl17_6,
inference(sat_conversion,[],[f323]) ).
cnf(s20,plain,
~ spl17_4,
inference(sat_conversion,[],[f397]) ).
cnf(s22,plain,
spl17_3,
inference(rat,[],[s9,s10]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s7,s20,s22]) ).
fof(f398,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP642+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n011.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 10:22:00 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.68/1.28 % (2188444)Detected formulas, will run a generic FOF schedule.
% 2.68/1.28 % (2188449)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1960088283:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.68/1.28 % (2188455)dis-21_1_sil=8000:lcm=predicate:random_seed=4239602947:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.68/1.28 % (2188450)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4062728929:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.68/1.28 % (2188452)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=790239569:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.68/1.28 % (2188451)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3613571098:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.68/1.28 % (2188454)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=62887449:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.68/1.28 % (2188452)Refutation not found, incomplete strategy
% 2.68/1.28 % (2188452)------------------------------
% 2.68/1.28 % (2188452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28 % (2188452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28 % (2188452)CaDiCaL version: 2.1.3
% 2.68/1.28 % (2188452)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.28 % (2188452)Time elapsed: 0.003 s
% 2.68/1.28 % (2188452)Peak memory usage: 88 MB
% 2.68/1.28 % (2188452)Instructions burned: 2 (million)
% 2.68/1.28 % (2188453)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3373168426:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.68/1.28 % (2188454)First to succeed.
% 2.68/1.28 % (2188454)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2188444"
% 2.68/1.28 % (2188453)Refutation not found, incomplete strategy
% 2.68/1.28 % (2188453)------------------------------
% 2.68/1.28 % (2188453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28 % (2188453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28 % (2188453)CaDiCaL version: 2.1.3
% 2.68/1.28 % (2188453)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.28 % (2188453)Time elapsed: 0.007 s
% 2.68/1.28 % (2188453)Peak memory usage: 88 MB
% 2.68/1.28 % (2188453)Instructions burned: 10 (million)
% 2.68/1.28 % (2188455)Instruction limit reached!
% 2.68/1.28 % (2188455)------------------------------
% 2.68/1.28 % (2188455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28 % (2188455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28 % (2188455)CaDiCaL version: 2.1.3
% 2.68/1.28 % (2188455)Termination reason: Instruction limit
% 2.68/1.28 % (2188455)Termination phase: Saturation
% 2.68/1.28 % (2188455)Time elapsed: 0.070 s
% 2.68/1.28 % (2188455)Peak memory usage: 90 MB
% 2.68/1.28 % (2188455)Instructions burned: 130 (million)
% 2.68/1.28 % (2188463)lrs+10_1_sil=8000:sp=occurrence:random_seed=4262438297:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.68/1.28 % (2188463)Also succeeded, but the first one will report.
% 2.68/1.28 % (2188452)------------------------------
% 2.68/1.28 % (2188452)------------------------------
% 2.68/1.28 % (2188453)------------------------------
% 2.68/1.28 % (2188453)------------------------------
% 2.68/1.28 % (2188454)Refutation found. Thanks to Tanya!
% 2.68/1.28 % SZS status Theorem for theBenchmark
% 2.68/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.37 % (2188454)------------------------------
% 3.43/1.37 % (2188454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.37 % (2188454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.37 % (2188454)CaDiCaL version: 2.1.3
% 3.43/1.37 % (2188454)Termination reason: Refutation
% 3.43/1.37 % (2188454)Time elapsed: 0.012 s
% 3.43/1.37 % (2188454)Peak memory usage: 90 MB
% 3.43/1.37 % (2188454)Instructions burned: 13 (million)
% 3.43/1.37 % (2188454)------------------------------
% 3.43/1.37 % (2188454)------------------------------
% 3.43/1.37 % (2188444)Success in time 0.423 s
% 3.43/1.37 % Vampire exiting
%------------------------------------------------------------------------------