%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP618+2 : 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 : n009.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 10:15:00 AM UTC 2026
% Result : Theorem 0.77s 1.29s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 82 ( 10 unt; 5 def)
% Number of atoms : 486 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 682 ( 278 ~; 291 |; 79 &)
% ( 7 <=>; 25 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn 70 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3118,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
fof(f3807,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f3808,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v1_group_3(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f3809,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f3810,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f3809]) ).
fof(f3814,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f3810]) ).
fof(f3815,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f3814]) ).
fof(f3816,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3808]) ).
fof(f3817,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3816]) ).
fof(f3818,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3807]) ).
fof(f3819,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3818]) ).
fof(f3848,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3118]) ).
fof(f3849,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3848]) ).
fof(f3886,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(nnf_transformation,[],[f3815]) ).
fof(f3887,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f3886]) ).
fof(f3888,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(rectify,[],[f3887]) ).
fof(f3889,plain,
( ( ~ v1_group_3(sK1,sK0)
| ( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0)) ) )
& ( v1_group_3(sK1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v1_group_1(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f3888]) ).
fof(f3891,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK6(X0,X1),sK5(X0,X1)))
& m1_subset_1(sK6(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK6(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK5(X0,X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X2,sK5(X0,X1)),skolemize(X3,sK6(X0,X1))],[f3819]) ).
fof(f3899,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f3889]) ).
fof(f3900,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f3889]) ).
fof(f3901,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f3889]) ).
fof(f3902,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f3889]) ).
fof(f3903,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f3889]) ).
fof(f3904,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f3889]) ).
fof(f3905,plain,
! [X4,X5] :
( v1_group_3(sK1,sK0)
| r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f3889]) ).
fof(f3906,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f3889]) ).
fof(f3908,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f3889]) ).
fof(f3909,plain,
( ~ v1_group_3(sK1,sK0)
| ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
inference(cnf_transformation,[],[f3889]) ).
fof(f3911,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3817]) ).
fof(f3912,plain,
! [X0,X1] :
( m1_subset_1(sK5(X0,X1),u1_struct_0(X0))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3891]) ).
fof(f3914,plain,
! [X0,X1] :
( m1_subset_1(sK6(X0,X1),u1_struct_0(X1))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3891]) ).
fof(f3915,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,sK6(X0,X1),sK5(X0,X1)))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3891]) ).
fof(f3940,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3849]) ).
fof(f3968,definition,
( spl14_1
<=> ! [X4,X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X4,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f3969,plain,
( ! [X4,X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X4,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK1)) )
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f3968]) ).
fof(f3971,definition,
( spl14_2
<=> v1_group_3(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f3972,plain,
( ~ v1_group_3(sK1,sK0)
| spl14_2 ),
inference(avatar_component_clause,[],[f3971]) ).
fof(f3973,plain,
( v1_group_3(sK1,sK0)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f3971]) ).
fof(f3974,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f3905,f3971,f3968]) ).
fof(f3976,definition,
( spl14_3
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f3978,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f3976]) ).
fof(f3979,plain,
( spl14_3
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f3906,f3971,f3976]) ).
fof(f3986,definition,
( spl14_5
<=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f3988,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f3986]) ).
fof(f3989,plain,
( spl14_5
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f3908,f3971,f3986]) ).
fof(f3991,definition,
( spl14_6
<=> r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f3993,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
| spl14_6 ),
inference(avatar_component_clause,[],[f3991]) ).
fof(f3994,plain,
( ~ spl14_6
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f3909,f3971,f3991]) ).
fof(f4037,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl14_6 ),
inference(resolution,[],[f3993,f3911]) ).
fof(f4046,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4037,f3940]) ).
fof(f4053,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4046,f3988]) ).
fof(f4060,plain,
( ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4053,f3978]) ).
fof(f4067,plain,
( ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4060,f3973]) ).
fof(f4074,plain,
( v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4067,f3904]) ).
fof(f4081,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4074,f3903]) ).
fof(f4093,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4081,f3902]) ).
fof(f4096,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4093,f3901]) ).
fof(f4103,plain,
( ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4096,f3900]) ).
fof(f4109,plain,
( $false
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f4103,f3899]) ).
fof(f4110,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(avatar_contradiction_clause,[],[f4109]) ).
fof(f4112,plain,
( ~ m1_subset_1(sK5(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK6(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK6(sK0,sK1),u1_struct_0(sK1))
| v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1 ),
inference(resolution,[],[f3969,f3915]) ).
fof(f4160,plain,
( ~ m1_subset_1(sK5(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK6(sK0,sK1),u1_struct_0(sK1))
| v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f4112,f3940]) ).
fof(f4178,plain,
( ~ m1_subset_1(sK6(sK0,sK1),u1_struct_0(sK1))
| v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f4160,f3912]) ).
fof(f4196,plain,
( v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f4178,f3914]) ).
fof(f4215,plain,
( ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f4196,f3972]) ).
fof(f4238,plain,
( v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f4215,f3904]) ).
fof(f4239,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f4238,f3903]) ).
fof(f4240,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f4239,f3902]) ).
fof(f4241,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f4240,f3901]) ).
fof(f4242,plain,
( ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f4241,f3900]) ).
fof(f4243,plain,
( $false
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f4242,f3899]) ).
fof(f4244,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_contradiction_clause,[],[f4243]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f3974]) ).
cnf(s2,plain,
( ~ spl14_2
| spl14_3 ),
inference(sat_conversion,[],[f3979]) ).
cnf(s4,plain,
( ~ spl14_2
| spl14_5 ),
inference(sat_conversion,[],[f3989]) ).
cnf(s5,plain,
( ~ spl14_2
| ~ spl14_6 ),
inference(sat_conversion,[],[f3994]) ).
cnf(s9,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(sat_conversion,[],[f4110]) ).
cnf(s15,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f4244]) ).
cnf(s16,plain,
~ spl14_2,
inference(rat,[],[s9,s2,s4,s5]) ).
cnf(s17,plain,
~ spl14_1,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s16,s17]) ).
fof(f4245,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP618+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:09:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.77/1.29 % (1798291)Detected formulas, will run a generic FOF schedule.
% 0.77/1.29 % (1798299)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3669757420:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 0.77/1.29 % (1798299)First to succeed.
% 0.77/1.29 % (1798299)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1798291"
% 0.77/1.29 % (1798298)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=2084188675:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 0.77/1.29 % (1798297)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=2788837855:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 0.77/1.29 % (1798296)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=529930192:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 0.77/1.29 % (1798302)dis-21_1_sil=8000:lcm=predicate:random_seed=1175872416:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 0.77/1.29 % (1798300)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=475740901:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 0.77/1.29 % (1798301)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2635278444:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 0.77/1.29 % (1798300)Instruction limit reached!
% 0.77/1.29 % (1798300)------------------------------
% 0.77/1.29 % (1798300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/1.29 % (1798300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/1.29 % (1798300)CaDiCaL version: 2.1.3
% 0.77/1.29 % (1798300)Termination reason: Instruction limit
% 0.77/1.29 % (1798300)Termination phase: Saturation
% 0.77/1.29 % (1798300)Time elapsed: 0.076 s
% 0.77/1.29 % (1798300)Peak memory usage: 93 MB
% 0.77/1.29 % (1798300)Instructions burned: 120 (million)
% 0.77/1.29 % (1798301)Instruction limit reached!
% 0.77/1.29 % (1798301)------------------------------
% 0.77/1.29 % (1798301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/1.29 % (1798301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/1.29 % (1798301)CaDiCaL version: 2.1.3
% 0.77/1.29 % (1798301)Termination reason: Instruction limit
% 0.77/1.29 % (1798301)Termination phase: Preprocessing 3
% 0.77/1.29 % (1798301)Time elapsed: 0.089 s
% 0.77/1.29 % (1798301)Peak memory usage: 94 MB
% 0.77/1.29 % (1798301)Instructions burned: 140 (million)
% 0.77/1.29 % (1798302)Instruction limit reached!
% 0.77/1.29 % (1798302)------------------------------
% 0.77/1.29 % (1798302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/1.29 % (1798302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/1.29 % (1798302)CaDiCaL version: 2.1.3
% 0.77/1.29 % (1798302)Termination reason: Instruction limit
% 0.77/1.29 % (1798302)Termination phase: Property scanning
% 0.77/1.29 % (1798302)Time elapsed: 0.090 s
% 0.77/1.29 % (1798302)Peak memory usage: 95 MB
% 0.77/1.29 % (1798302)Instructions burned: 129 (million)
% 0.77/1.29 % (1798299)Refutation found. Thanks to Tanya!
% 0.77/1.29 % SZS status Theorem for theBenchmark
% 0.77/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 2.90/1.51 % (1798299)------------------------------
% 2.90/1.51 % (1798299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.51 % (1798299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.51 % (1798299)CaDiCaL version: 2.1.3
% 2.90/1.51 % (1798299)Termination reason: Refutation
% 2.90/1.51 % (1798299)Time elapsed: 0.015 s
% 2.90/1.51 % (1798299)Peak memory usage: 94 MB
% 2.90/1.51 % (1798299)Instructions burned: 34 (million)
% 2.90/1.51 % (1798299)------------------------------
% 2.90/1.51 % (1798299)------------------------------
% 2.90/1.51 % (1798291)Success in time 0.447 s
% 2.90/1.51 % Vampire exiting
%------------------------------------------------------------------------------