%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:14 AM UTC 2026
% Result : Theorem 2.65s 1.29s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 68 ( 16 unt; 0 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 496 ( 214 ~; 208 |; 52 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 62 ( 54 !; 8 ?)
% 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) )
=> ! [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(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) )
=> ! [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)],[f1]) ).
fof(f11,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(f47,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(f52,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(f57,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,[],[f2]) ).
fof(f58,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,[],[f57]) ).
fof(f59,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,[],[f47]) ).
fof(f60,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,[],[f59]) ).
fof(f61,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,[],[f11]) ).
fof(f62,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,[],[f61]) ).
fof(f75,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,[],[f52]) ).
fof(f76,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,[],[f75]) ).
fof(f78,plain,
( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0))
& v1_group_1(sK1)
& m1_group_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f58]) ).
fof(f79,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,[],[f60]) ).
fof(f87,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f88,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f89,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f90,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f91,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f92,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f93,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f78]) ).
fof(f94,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f78]) ).
fof(f95,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f78]) ).
fof(f96,plain,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f78]) ).
fof(f97,plain,
~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f78]) ).
fof(f98,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,[],[f79]) ).
fof(f99,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,[],[f79]) ).
fof(f100,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,[],[f62]) ).
fof(f113,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,[],[f76]) ).
fof(f173,plain,
( r1_rlvect_1(sK1,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f98,f95]) ).
fof(f174,plain,
( r1_rlvect_1(sK1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f98,f96]) ).
fof(f176,plain,
( r1_rlvect_1(sK1,sK2)
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f174,f93]) ).
fof(f177,plain,
( r1_rlvect_1(sK1,sK3)
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f173,f94]) ).
fof(f178,plain,
( r1_rlvect_1(sK1,sK2)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f176,f92]) ).
fof(f179,plain,
( r1_rlvect_1(sK1,sK3)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f177,f92]) ).
fof(f180,plain,
( r1_rlvect_1(sK1,sK2)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f178,f91]) ).
fof(f181,plain,
( r1_rlvect_1(sK1,sK3)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f179,f91]) ).
fof(f182,plain,
( r1_rlvect_1(sK1,sK2)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f180,f90]) ).
fof(f183,plain,
( r1_rlvect_1(sK1,sK3)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f181,f90]) ).
fof(f184,plain,
( r1_rlvect_1(sK1,sK2)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f182,f89]) ).
fof(f185,plain,
( r1_rlvect_1(sK1,sK3)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f183,f89]) ).
fof(f186,plain,
( r1_rlvect_1(sK1,sK2)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f184,f88]) ).
fof(f187,plain,
( r1_rlvect_1(sK1,sK3)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f185,f88]) ).
fof(f188,plain,
r1_rlvect_1(sK1,sK2),
inference(forward_subsumption_resolution,[],[f186,f87]) ).
fof(f189,plain,
r1_rlvect_1(sK1,sK3),
inference(forward_subsumption_resolution,[],[f187,f87]) ).
fof(f190,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f99,f97]) ).
fof(f197,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f190,f92]) ).
fof(f198,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f197,f91]) ).
fof(f199,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f198,f90]) ).
fof(f200,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f199,f89]) ).
fof(f201,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f200,f88]) ).
fof(f202,plain,
( ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f201,f87]) ).
fof(f203,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(resolution,[],[f202,f100]) ).
fof(f205,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f203,f90]) ).
fof(f206,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f205,f87]) ).
fof(f207,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f206,f93]) ).
fof(f208,plain,
~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)),
inference(forward_subsumption_resolution,[],[f207,f94]) ).
fof(f209,plain,
( ~ r1_rlvect_1(sK1,sK2)
| ~ r1_rlvect_1(sK1,sK3)
| ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f208,f113]) ).
fof(f210,plain,
( ~ r1_rlvect_1(sK1,sK3)
| ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f209,f188]) ).
fof(f211,plain,
( ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f210,f189]) ).
fof(f212,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f211,f91]) ).
fof(f213,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f212,f94]) ).
fof(f214,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f213,f93]) ).
fof(f215,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f214,f90]) ).
fof(f216,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f215,f89]) ).
fof(f217,plain,
~ l1_group_1(sK0),
inference(forward_subsumption_resolution,[],[f216,f88]) ).
fof(f218,plain,
$false,
inference(forward_subsumption_resolution,[],[f217,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:26:00 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
% 2.65/1.29 % (1452241)Detected formulas, will run a generic FOF schedule.
% 2.65/1.29 % (1452248)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=1771467252:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.29 % (1452250)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=316728666:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.29 % (1452247)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=231152798:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.29 % (1452252)dis-21_1_sil=8000:lcm=predicate:random_seed=448149632:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.65/1.29 % (1452249)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2264744525:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.29 % (1452246)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=700485088:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.29 % (1452251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1085467809:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.29 % (1452249)Refutation not found, incomplete strategy
% 2.65/1.29 % (1452249)------------------------------
% 2.65/1.29 % (1452249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.29 % (1452249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.29 % (1452250)First to succeed.
% 2.65/1.29 % (1452249)CaDiCaL version: 2.1.3
% 2.65/1.29 % (1452249)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.29 % (1452249)Time elapsed: 0.003 s
% 2.65/1.29 % (1452249)Peak memory usage: 88 MB
% 2.65/1.29 % (1452249)Instructions burned: 3 (million)
% 2.65/1.29 % (1452250)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1452241"
% 2.65/1.29 % (1452252)Instruction limit reached!
% 2.65/1.29 % (1452252)------------------------------
% 2.65/1.29 % (1452252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.29 % (1452252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.29 % (1452252)CaDiCaL version: 2.1.3
% 2.65/1.29 % (1452252)Termination reason: Instruction limit
% 2.65/1.29 % (1452252)Termination phase: Saturation
% 2.65/1.29 % (1452252)Time elapsed: 0.070 s
% 2.65/1.29 % (1452252)Peak memory usage: 91 MB
% 2.65/1.29 % (1452252)Instructions burned: 131 (million)
% 2.65/1.29 % (1452251)Instruction limit reached!
% 2.65/1.29 % (1452251)------------------------------
% 2.65/1.29 % (1452251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.29 % (1452251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.29 % (1452251)CaDiCaL version: 2.1.3
% 2.65/1.29 % (1452251)Termination reason: Instruction limit
% 2.65/1.29 % (1452251)Termination phase: Saturation
% 2.65/1.29 % (1452251)Time elapsed: 0.099 s
% 2.65/1.29 % (1452251)Peak memory usage: 89 MB
% 2.65/1.29 % (1452251)Instructions burned: 139 (million)
% 2.65/1.29 % (1452260)lrs+10_1_sil=8000:sp=occurrence:random_seed=526010143:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.65/1.29 % (1452260)Also succeeded, but the first one will report.
% 2.65/1.29 % (1452249)------------------------------
% 2.65/1.29 % (1452249)------------------------------
% 2.65/1.29 % (1452261)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1702050273:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.65/1.29 % (1452250)Refutation found. Thanks to Tanya!
% 2.65/1.29 % SZS status Theorem for theBenchmark
% 2.65/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.39 % (1452250)------------------------------
% 3.50/1.39 % (1452250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.39 % (1452250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.39 % (1452250)CaDiCaL version: 2.1.3
% 3.50/1.39 % (1452250)Termination reason: Refutation
% 3.50/1.39 % (1452250)Time elapsed: 0.004 s
% 3.50/1.39 % (1452250)Peak memory usage: 88 MB
% 3.50/1.39 % (1452250)Instructions burned: 5 (million)
% 3.50/1.39 % (1452250)------------------------------
% 3.50/1.39 % (1452250)------------------------------
% 3.50/1.39 % (1452241)Success in time 0.432 s
% 3.50/1.39 % Vampire exiting
%------------------------------------------------------------------------------