%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP643+3 : 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 : 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 10:15:15 AM UTC 2026
% Result : Theorem 4.46s 2.08s
% Output : Refutation 4.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 80 ( 19 unt; 2 def)
% Number of atoms : 379 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 514 ( 215 ~; 223 |; 52 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 62 ( 0 sgn 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7469,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).
fof(f8761,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_group_2(X3,X0)
=> ( ( r1_rlvect_1(X3,X1)
& r1_rlvect_1(X3,X2) )
=> r1_rlvect_1(X3,k1_group_1(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_group_2) ).
fof(f13982,axiom,
! [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) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f13985,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) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(f13986,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) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13985]) ).
fof(f13990,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& 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,[],[f13986]) ).
fof(f13991,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& 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,[],[f13990]) ).
fof(f14025,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8761]) ).
fof(f14026,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14025]) ).
fof(f14029,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f7469]) ).
fof(f14030,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f14029]) ).
fof(f14049,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ 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,[],[f13982]) ).
fof(f14050,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ 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,[],[f14049]) ).
fof(f14059,plain,
( ~ r2_hidden(k1_group_1(sK2,sK4,sK5),k1_funct_1(k1_latsubgr(sK2),sK3))
& r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK2),sK3))
& r2_hidden(sK5,k1_funct_1(k1_latsubgr(sK2),sK3))
& m1_subset_1(sK5,u1_struct_0(sK2))
& m1_subset_1(sK4,u1_struct_0(sK2))
& v1_group_1(sK3)
& m1_group_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v3_group_1(sK2)
& v4_group_1(sK2)
& l1_group_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f13991]) ).
fof(f14088,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ 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(nnf_transformation,[],[f14050]) ).
fof(f14092,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f14059]) ).
fof(f14093,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f14059]) ).
fof(f14094,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f14059]) ).
fof(f14095,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f14059]) ).
fof(f14096,plain,
m1_group_2(sK3,sK2),
inference(cnf_transformation,[],[f14059]) ).
fof(f14097,plain,
v1_group_1(sK3),
inference(cnf_transformation,[],[f14059]) ).
fof(f14098,plain,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f14059]) ).
fof(f14099,plain,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f14059]) ).
fof(f14100,plain,
r2_hidden(sK5,k1_funct_1(k1_latsubgr(sK2),sK3)),
inference(cnf_transformation,[],[f14059]) ).
fof(f14101,plain,
r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK2),sK3)),
inference(cnf_transformation,[],[f14059]) ).
fof(f14102,plain,
~ r2_hidden(k1_group_1(sK2,sK4,sK5),k1_funct_1(k1_latsubgr(sK2),sK3)),
inference(cnf_transformation,[],[f14059]) ).
fof(f14141,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14026]) ).
fof(f14143,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f14030]) ).
fof(f14187,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ 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(cnf_transformation,[],[f14088]) ).
fof(f14188,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ 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(cnf_transformation,[],[f14088]) ).
fof(f14251,plain,
( r1_rlvect_1(sK3,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ v1_group_1(sK3)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(resolution,[],[f14100,f14187]) ).
fof(f14260,plain,
( r1_rlvect_1(sK3,sK5)
| ~ v1_group_1(sK3)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14251,f14099]) ).
fof(f14261,plain,
( r1_rlvect_1(sK3,sK5)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14260,f14097]) ).
fof(f14262,plain,
( r1_rlvect_1(sK3,sK5)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14261,f14096]) ).
fof(f14263,plain,
( r1_rlvect_1(sK3,sK5)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14262,f14095]) ).
fof(f14264,plain,
( r1_rlvect_1(sK3,sK5)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14263,f14094]) ).
fof(f14265,plain,
( r1_rlvect_1(sK3,sK5)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14264,f14093]) ).
fof(f14266,plain,
r1_rlvect_1(sK3,sK5),
inference(forward_subsumption_resolution,[],[f14265,f14092]) ).
fof(f14267,plain,
( r1_rlvect_1(sK3,sK4)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ v1_group_1(sK3)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(resolution,[],[f14101,f14187]) ).
fof(f14276,plain,
( r1_rlvect_1(sK3,sK4)
| ~ v1_group_1(sK3)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14267,f14098]) ).
fof(f14277,plain,
( r1_rlvect_1(sK3,sK4)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14276,f14097]) ).
fof(f14278,plain,
( r1_rlvect_1(sK3,sK4)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14277,f14096]) ).
fof(f14279,plain,
( r1_rlvect_1(sK3,sK4)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14278,f14095]) ).
fof(f14280,plain,
( r1_rlvect_1(sK3,sK4)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14279,f14094]) ).
fof(f14281,plain,
( r1_rlvect_1(sK3,sK4)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14280,f14093]) ).
fof(f14282,plain,
r1_rlvect_1(sK3,sK4),
inference(forward_subsumption_resolution,[],[f14281,f14092]) ).
fof(f14283,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2))
| ~ v1_group_1(sK3)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(resolution,[],[f14102,f14188]) ).
fof(f14288,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2))
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14283,f14097]) ).
fof(f14291,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14288,f14096]) ).
fof(f14294,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2))
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14291,f14095]) ).
fof(f14297,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2))
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14294,f14094]) ).
fof(f14299,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2))
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14297,f14093]) ).
fof(f14300,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f14299,f14092]) ).
fof(f14302,definition,
( spl45_1
<=> m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl45_1])],[avatar_definition]) ).
fof(f14304,plain,
( ~ m1_subset_1(k1_group_1(sK2,sK4,sK5),u1_struct_0(sK2))
| spl45_1 ),
inference(avatar_component_clause,[],[f14302]) ).
fof(f14306,definition,
( spl45_2
<=> r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl45_2])],[avatar_definition]) ).
fof(f14308,plain,
( ~ r1_rlvect_1(sK3,k1_group_1(sK2,sK4,sK5))
| spl45_2 ),
inference(avatar_component_clause,[],[f14306]) ).
fof(f14309,plain,
( ~ spl45_1
| ~ spl45_2 ),
inference(avatar_split_clause,[],[f14300,f14306,f14302]) ).
fof(f14374,plain,
( v3_struct_0(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| spl45_1 ),
inference(resolution,[],[f14304,f14143]) ).
fof(f14379,plain,
( ~ l1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| spl45_1 ),
inference(forward_subsumption_resolution,[],[f14374,f14095]) ).
fof(f14382,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| spl45_1 ),
inference(forward_subsumption_resolution,[],[f14379,f14092]) ).
fof(f14385,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK2))
| spl45_1 ),
inference(forward_subsumption_resolution,[],[f14382,f14098]) ).
fof(f14388,plain,
( $false
| spl45_1 ),
inference(forward_subsumption_resolution,[],[f14385,f14099]) ).
fof(f14389,plain,
spl45_1,
inference(avatar_contradiction_clause,[],[f14388]) ).
fof(f14391,plain,
( ~ r1_rlvect_1(sK3,sK4)
| ~ r1_rlvect_1(sK3,sK5)
| ~ m1_group_2(sK3,sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(resolution,[],[f14308,f14141]) ).
fof(f14396,plain,
( ~ r1_rlvect_1(sK3,sK5)
| ~ m1_group_2(sK3,sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14391,f14282]) ).
fof(f14399,plain,
( ~ m1_group_2(sK3,sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14396,f14266]) ).
fof(f14402,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14399,f14096]) ).
fof(f14405,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14402,f14099]) ).
fof(f14407,plain,
( v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14405,f14098]) ).
fof(f14408,plain,
( ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14407,f14095]) ).
fof(f14409,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14408,f14094]) ).
fof(f14410,plain,
( ~ l1_group_1(sK2)
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14409,f14093]) ).
fof(f14411,plain,
( $false
| spl45_2 ),
inference(forward_subsumption_resolution,[],[f14410,f14092]) ).
fof(f14412,plain,
spl45_2,
inference(avatar_contradiction_clause,[],[f14411]) ).
cnf(s1,plain,
( ~ spl45_1
| ~ spl45_2 ),
inference(sat_conversion,[],[f14309]) ).
cnf(s5,plain,
spl45_1,
inference(sat_conversion,[],[f14389]) ).
cnf(s6,plain,
spl45_2,
inference(sat_conversion,[],[f14412]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s6,s5]) ).
fof(f14413,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP643+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:22:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.46/2.08 % (3301817)Detected formulas, will run a generic FOF schedule.
% 4.46/2.08 % (3301824)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=3417547688:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 4.46/2.08 % (3301827)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1645679312:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 4.46/2.08 % (3301826)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4082632025:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 4.46/2.08 % (3301822)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=87384198:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 4.46/2.08 % (3301828)dis-21_1_sil=8000:lcm=predicate:random_seed=3844219051:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 4.46/2.08 % (3301823)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=3105839297:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 4.46/2.08 % (3301825)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3662613359:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 4.46/2.08 % (3301827)Instruction limit reached!
% 4.46/2.08 % (3301827)------------------------------
% 4.46/2.08 % (3301827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/2.08 % (3301827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/2.08 % (3301827)CaDiCaL version: 2.1.3
% 4.46/2.08 % (3301827)Termination reason: Instruction limit
% 4.46/2.08 % (3301827)Termination phase: Property scanning
% 4.46/2.08 % (3301827)Time elapsed: 0.058 s
% 4.46/2.08 % (3301827)Peak memory usage: 103 MB
% 4.46/2.08 % (3301827)Instructions burned: 139 (million)
% 4.46/2.08 % (3301825)First to succeed.
% 4.46/2.08 % (3301825)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3301817"
% 4.46/2.08 % (3301826)Instruction limit reached!
% 4.46/2.08 % (3301826)------------------------------
% 4.46/2.08 % (3301826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/2.08 % (3301826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/2.08 % (3301826)CaDiCaL version: 2.1.3
% 4.46/2.08 % (3301826)Termination reason: Instruction limit
% 4.46/2.08 % (3301826)Termination phase: Saturation
% 4.46/2.08 % (3301826)Time elapsed: 0.091 s
% 4.46/2.08 % (3301826)Peak memory usage: 107 MB
% 4.46/2.08 % (3301826)Instructions burned: 119 (million)
% 4.46/2.08 % (3301828)Instruction limit reached!
% 4.46/2.08 % (3301828)------------------------------
% 4.46/2.08 % (3301828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/2.08 % (3301828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/2.08 % (3301828)CaDiCaL version: 2.1.3
% 4.46/2.08 % (3301828)Termination reason: Instruction limit
% 4.46/2.08 % (3301828)Termination phase: Preprocessing 1
% 4.46/2.08 % (3301828)Time elapsed: 0.092 s
% 4.46/2.08 % (3301828)Peak memory usage: 104 MB
% 4.46/2.08 % (3301828)Instructions burned: 129 (million)
% 4.46/2.08 % (3301836)lrs+10_1_sil=8000:sp=occurrence:random_seed=343103092:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 4.46/2.08 % (3301838)lrs+1011_1_sil=32000:sp=occurrence:random_seed=777744917:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 4.46/2.08 % (3301837)lrs+10_1_sil=32000:urr=on:br=off:random_seed=893994359:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 4.46/2.08 % (3301825)Refutation found. Thanks to Tanya!
% 4.46/2.08 % SZS status Theorem for theBenchmark
% 4.46/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 4.89/2.28 % (3301825)------------------------------
% 4.89/2.28 % (3301825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.89/2.28 % (3301825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/2.28 % (3301825)CaDiCaL version: 2.1.3
% 4.89/2.28 % (3301825)Termination reason: Refutation
% 4.89/2.28 % (3301825)Time elapsed: 0.079 s
% 4.89/2.28 % (3301825)Peak memory usage: 109 MB
% 4.89/2.28 % (3301825)Instructions burned: 101 (million)
% 4.89/2.28 % (3301825)------------------------------
% 4.89/2.28 % (3301825)------------------------------
% 4.89/2.28 % (3301817)Success in time 1.209 s
% 4.89/2.28 % Vampire exiting
%------------------------------------------------------------------------------