%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n004.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 10:18:22 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 89 ( 22 unt; 3 def)
% Number of atoms : 334 ( 25 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 379 ( 134 ~; 183 |; 44 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 60 !; 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) )
=> 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,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f106,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f107,plain,
k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f108,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f109,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f110,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f111,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f118,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,[],[f72]) ).
fof(f124,plain,
! [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))) ),
inference(cnf_transformation,[],[f76]) ).
fof(f125,plain,
! [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))) ),
inference(cnf_transformation,[],[f76]) ).
fof(f126,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k1_latsubgr(X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f127,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f128,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f130,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f142,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f144,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f34]) ).
fof(f174,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,[],[f118]) ).
fof(f175,plain,
~ v3_group_1(sK0),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f176,plain,
~ l1_group_1(sK0),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f177,plain,
~ m1_group_2(sK1,sK0),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f187,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(consistent_polarity_flipping,[],[f174]) ).
fof(f190,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ v4_group_1(X0)
| v3_group_1(X0)
| v3_struct_0(X0)
| l1_group_1(X0) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f191,plain,
! [X0] :
( ~ v1_funct_2(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(consistent_polarity_flipping,[],[f125]) ).
fof(f192,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(consistent_polarity_flipping,[],[f124]) ).
fof(f193,plain,
! [X0] :
( l1_struct_0(X0)
| l1_group_1(X0) ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f194,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(X1,X0)
| l1_group_1(X0) ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f196,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(X1,X0)
| l1_group_1(X0) ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f254,definition,
( spl17_2
<=> l1_group_1(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f255,plain,
( ~ l1_group_1(sK1)
| spl17_2 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( l1_group_1(sK1)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,plain,
( ! [X0] :
( m1_group_2(sK1,X0)
| v3_struct_0(X0)
| v3_group_1(X0)
| l1_group_1(X0) )
| ~ spl17_2 ),
inference(resolution,[],[f196,f256]) ).
fof(f259,plain,
( v3_struct_0(sK0)
| v3_group_1(sK0)
| l1_group_1(sK0)
| ~ spl17_2 ),
inference(resolution,[],[f258,f177]) ).
fof(f260,plain,
( v3_group_1(sK0)
| l1_group_1(sK0)
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f259,f111]) ).
fof(f261,plain,
( l1_group_1(sK0)
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f260,f175]) ).
fof(f262,plain,
( $false
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f261,f176]) ).
fof(f263,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f322,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,[],[f187,f192]) ).
fof(f323,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,[],[f322,f191]) ).
fof(f324,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,[],[f323,f190]) ).
fof(f325,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,[],[f324,f106]) ).
fof(f326,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,[],[f325,f177]) ).
fof(f327,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,[],[f326,f175]) ).
fof(f328,plain,
( ~ v4_group_1(sK0)
| l1_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f327,f111]) ).
fof(f329,plain,
( l1_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f328,f109]) ).
fof(f330,plain,
k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1),
inference(forward_subsumption_resolution,[],[f329,f176]) ).
fof(f331,plain,
k1_xboole_0 = u1_struct_0(sK1),
inference(forward_demodulation,[],[f330,f107]) ).
fof(f369,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(superposition,[],[f142,f331]) ).
fof(f370,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f369,f144]) ).
fof(f372,definition,
( spl17_14
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f374,plain,
( ~ l1_struct_0(sK1)
| spl17_14 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl17_15
<=> v3_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f378,plain,
( v3_struct_0(sK1)
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f388,plain,
( ~ spl17_14
| spl17_15 ),
inference(avatar_split_clause,[],[f370,f376,f372]) ).
fof(f408,plain,
( l1_group_1(sK1)
| spl17_14 ),
inference(resolution,[],[f374,f193]) ).
fof(f409,plain,
( $false
| spl17_2
| spl17_14 ),
inference(forward_subsumption_resolution,[],[f408,f255]) ).
fof(f410,plain,
( spl17_2
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f411,plain,
( ! [X0] :
( m1_group_2(sK1,X0)
| v3_struct_0(X0)
| v3_group_1(X0)
| l1_group_1(X0) )
| ~ spl17_15 ),
inference(resolution,[],[f378,f194]) ).
fof(f573,plain,
( v3_struct_0(sK0)
| v3_group_1(sK0)
| l1_group_1(sK0)
| ~ spl17_15 ),
inference(resolution,[],[f411,f177]) ).
fof(f574,plain,
( v3_group_1(sK0)
| l1_group_1(sK0)
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f573,f111]) ).
fof(f575,plain,
( l1_group_1(sK0)
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f574,f175]) ).
fof(f576,plain,
( $false
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f575,f176]) ).
fof(f577,plain,
~ spl17_15,
inference(avatar_contradiction_clause,[],[f576]) ).
cnf(s2,plain,
~ spl17_2,
inference(sat_conversion,[],[f263]) ).
cnf(s10,plain,
( ~ spl17_14
| spl17_15 ),
inference(sat_conversion,[],[f388]) ).
cnf(s13,plain,
( spl17_2
| spl17_14 ),
inference(sat_conversion,[],[f410]) ).
cnf(s28,plain,
~ spl17_15,
inference(sat_conversion,[],[f577]) ).
cnf(s31,plain,
~ spl17_14,
inference(rat,[],[s10,s28]) ).
cnf(s32,plain,
spl17_2,
inference(rat,[],[s13,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s2,s32]) ).
fof(f578,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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 SAT
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:21:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (3298541)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3298547)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3298547)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4176643937:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (3298546)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=367745541_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3298548)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2525079982:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3298550)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3772283228:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3298549)dis+10_1_sil=32000:sp=arity:random_seed=1734407718:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3298551)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2253628328:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3298552)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1483875486:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3298547) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3298541-3298547"...
% 0.11/0.45 % (3298547)...printing done.
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % (3298547)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3298547)------------------------------
% 0.11/0.45 % (3298547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3298547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3298547)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3298547)Termination reason: Refutation
% 0.11/0.45 % (3298547)Time elapsed: 0.008 s
% 0.11/0.45 % (3298547)Peak memory usage: 13 MB
% 0.11/0.45 % (3298547)Instructions burned: 18 (million)
% 0.11/0.45 % (3298541)Success in time 0.042 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------