%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP618+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 2.23s 1.95s
% Output : Refutation 4.66s
% 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(f8753,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/sandbox/benchmark/theBenchmark.p',t51_group_2) ).
fof(f12873,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/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f12874,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/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f12875,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/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f12876,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)],[f12875]) ).
fof(f12880,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,[],[f12876]) ).
fof(f12881,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,[],[f12880]) ).
fof(f12898,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,[],[f8753]) ).
fof(f12899,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,[],[f12898]) ).
fof(f12904,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,[],[f12874]) ).
fof(f12905,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,[],[f12904]) ).
fof(f12906,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,[],[f12873]) ).
fof(f12907,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,[],[f12906]) ).
fof(f12946,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,[],[f12881]) ).
fof(f12947,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,[],[f12946]) ).
fof(f12948,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,[],[f12947]) ).
fof(f12949,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)],[f12948]) ).
fof(f12956,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK10(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,[sK10,sK11]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1))],[f12907]) ).
fof(f12959,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f12949]) ).
fof(f12960,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f12949]) ).
fof(f12961,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f12949]) ).
fof(f12962,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f12949]) ).
fof(f12963,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f12949]) ).
fof(f12964,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f12949]) ).
fof(f12965,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,[],[f12949]) ).
fof(f12966,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f12949]) ).
fof(f12968,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f12949]) ).
fof(f12969,plain,
( ~ v1_group_3(sK1,sK0)
| ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
inference(cnf_transformation,[],[f12949]) ).
fof(f12989,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,[],[f12899]) ).
fof(f12992,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,[],[f12905]) ).
fof(f12993,plain,
! [X0,X1] :
( m1_subset_1(sK10(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,[],[f12956]) ).
fof(f12995,plain,
! [X0,X1] :
( m1_subset_1(sK11(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,[],[f12956]) ).
fof(f12996,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(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,[],[f12956]) ).
fof(f13026,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(f13027,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,[],[f13026]) ).
fof(f13029,definition,
( spl14_2
<=> v1_group_3(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f13030,plain,
( ~ v1_group_3(sK1,sK0)
| spl14_2 ),
inference(avatar_component_clause,[],[f13029]) ).
fof(f13031,plain,
( v1_group_3(sK1,sK0)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f13029]) ).
fof(f13032,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f12965,f13029,f13026]) ).
fof(f13034,definition,
( spl14_3
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f13036,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f13034]) ).
fof(f13037,plain,
( spl14_3
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f12966,f13029,f13034]) ).
fof(f13044,definition,
( spl14_5
<=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f13046,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f13044]) ).
fof(f13047,plain,
( spl14_5
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f12968,f13029,f13044]) ).
fof(f13049,definition,
( spl14_6
<=> r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f13051,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
| spl14_6 ),
inference(avatar_component_clause,[],[f13049]) ).
fof(f13052,plain,
( ~ spl14_6
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f12969,f13029,f13049]) ).
fof(f13096,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,[],[f13051,f12992]) ).
fof(f13105,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,[],[f13096,f12989]) ).
fof(f13112,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,[],[f13105,f13046]) ).
fof(f13119,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,[],[f13112,f13036]) ).
fof(f13126,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,[],[f13119,f13031]) ).
fof(f13133,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,[],[f13126,f12964]) ).
fof(f13140,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,[],[f13133,f12963]) ).
fof(f13152,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,[],[f13140,f12962]) ).
fof(f13155,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f13152,f12961]) ).
fof(f13162,plain,
( ~ l1_group_1(sK0)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f13155,f12960]) ).
fof(f13168,plain,
( $false
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f13162,f12959]) ).
fof(f13169,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(avatar_contradiction_clause,[],[f13168]) ).
fof(f13177,plain,
( ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK11(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK11(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,[],[f13027,f12996]) ).
fof(f13224,plain,
( ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK11(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,[],[f13177,f12989]) ).
fof(f13241,plain,
( ~ m1_subset_1(sK11(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,[],[f13224,f12993]) ).
fof(f13258,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,[],[f13241,f12995]) ).
fof(f13276,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,[],[f13258,f13030]) ).
fof(f13298,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,[],[f13276,f12964]) ).
fof(f13299,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,[],[f13298,f12963]) ).
fof(f13300,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f13299,f12962]) ).
fof(f13301,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f13300,f12961]) ).
fof(f13302,plain,
( ~ l1_group_1(sK0)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f13301,f12960]) ).
fof(f13303,plain,
( $false
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f13302,f12959]) ).
fof(f13304,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_contradiction_clause,[],[f13303]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f13032]) ).
cnf(s2,plain,
( ~ spl14_2
| spl14_3 ),
inference(sat_conversion,[],[f13037]) ).
cnf(s4,plain,
( ~ spl14_2
| spl14_5 ),
inference(sat_conversion,[],[f13047]) ).
cnf(s5,plain,
( ~ spl14_2
| ~ spl14_6 ),
inference(sat_conversion,[],[f13052]) ).
cnf(s9,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| spl14_6 ),
inference(sat_conversion,[],[f13169]) ).
cnf(s15,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f13304]) ).
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(f13305,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP618+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:09:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/1.95 % (2866385)Detected formulas, will run a generic FOF schedule.
% 2.23/1.95 % (2866396)dis-21_1_sil=8000:lcm=predicate:random_seed=1560723084:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 2.23/1.95 % (2866394)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3295156994:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 2.23/1.95 % (2866393)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=516667684:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 2.23/1.95 % (2866392)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=1048732675:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 2.23/1.95 % (2866391)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=3303840902:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 2.23/1.95 % (2866390)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=1062995621:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 2.23/1.95 % (2866395)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3963160169:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 2.23/1.95 % (2866396)Instruction limit reached!
% 2.23/1.95 % (2866396)------------------------------
% 2.23/1.95 % (2866396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/1.95 % (2866396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/1.95 % (2866396)CaDiCaL version: 2.1.3
% 2.23/1.95 % (2866396)Termination reason: Instruction limit
% 2.23/1.95 % (2866396)Termination phase: Preprocessing 1
% 2.23/1.95 % (2866396)Time elapsed: 0.058 s
% 2.23/1.95 % (2866396)Peak memory usage: 102 MB
% 2.23/1.95 % (2866396)Instructions burned: 130 (million)
% 2.23/1.95 % (2866393)First to succeed.
% 2.23/1.95 % (2866395)Instruction limit reached!
% 2.23/1.95 % (2866395)------------------------------
% 2.23/1.95 % (2866395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/1.95 % (2866395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/1.95 % (2866395)CaDiCaL version: 2.1.3
% 2.23/1.95 % (2866395)Termination reason: Instruction limit
% 2.23/1.95 % (2866395)Termination phase: Property scanning
% 2.23/1.95 % (2866395)Time elapsed: 0.059 s
% 2.23/1.95 % (2866395)Peak memory usage: 101 MB
% 2.23/1.95 % (2866395)Instructions burned: 139 (million)
% 2.23/1.95 % (2866393)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2866385"
% 2.23/1.95 % (2866394)Instruction limit reached!
% 2.23/1.95 % (2866394)------------------------------
% 2.23/1.95 % (2866394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/1.95 % (2866394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/1.95 % (2866394)CaDiCaL version: 2.1.3
% 2.23/1.95 % (2866394)Termination reason: Instruction limit
% 2.23/1.95 % (2866394)Termination phase: Saturation
% 2.23/1.95 % (2866394)Time elapsed: 0.089 s
% 2.23/1.95 % (2866394)Peak memory usage: 106 MB
% 2.23/1.95 % (2866394)Instructions burned: 120 (million)
% 2.23/1.95 % (2866404)lrs+10_1_sil=8000:sp=occurrence:random_seed=951227971:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 2.23/1.95 % (2866405)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2084824799:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 2.23/1.95 % (2866406)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2411693820:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 2.23/1.95 % (2866404)Instruction limit reached!
% 2.23/1.95 % (2866404)------------------------------
% 2.23/1.95 % (2866404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/1.95 % (2866404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/1.95 % (2866404)CaDiCaL version: 2.1.3
% 2.23/1.95 % (2866404)Termination reason: Instruction limit
% 2.23/1.95 % (2866404)Termination phase: Saturation
% 2.23/1.95 % (2866404)Time elapsed: 0.104 s
% 2.23/1.95 % (2866404)Peak memory usage: 108 MB
% 2.23/1.95 % (2866404)Instructions burned: 287 (million)
% 2.23/1.95 % (2866405)Instruction limit reached!
% 2.23/1.95 % (2866405)------------------------------
% 2.23/1.95 % (2866405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.23/1.95 % (2866405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/1.95 % (2866405)CaDiCaL version: 2.1.3
% 2.23/1.95 % (2866405)Termination reason: Instruction limit
% 2.23/1.95 % (2866405)Termination phase: Property scanning
% 2.23/1.95 % (2866405)Time elapsed: 0.067 s
% 2.23/1.95 % (2866405)Peak memory usage: 101 MB
% 2.23/1.95 % (2866405)Instructions burned: 158 (million)
% 2.23/1.95 % (2866410)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2847147397:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 2.23/1.95 % (2866393)Refutation found. Thanks to Tanya!
% 2.23/1.95 % SZS status Theorem for theBenchmark
% 2.23/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 4.66/2.15 % (2866393)------------------------------
% 4.66/2.15 % (2866393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/2.15 % (2866393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/2.15 % (2866393)CaDiCaL version: 2.1.3
% 4.66/2.15 % (2866393)Termination reason: Refutation
% 4.66/2.15 % (2866393)Time elapsed: 0.068 s
% 4.66/2.15 % (2866393)Peak memory usage: 107 MB
% 4.66/2.15 % (2866393)Instructions burned: 88 (million)
% 4.66/2.15 % (2866393)------------------------------
% 4.66/2.15 % (2866393)------------------------------
% 4.66/2.15 % (2866385)Success in time 1.104 s
% 4.66/2.15 % Vampire exiting
%------------------------------------------------------------------------------