%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP644+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 4.25s 2.08s
% Output : Refutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 69 ( 16 unt; 2 def)
% Number of atoms : 314 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 423 ( 178 ~; 180 |; 44 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7471,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f8762,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_group_2(X2,X0)
=> ( r1_rlvect_1(X2,X1)
=> r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_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(f13986,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))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(f13987,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))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13986]) ).
fof(f13992,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& 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(ennf_transformation,[],[f13987]) ).
fof(f13993,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& 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(flattening,[],[f13992]) ).
fof(f14031,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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,[],[f8762]) ).
fof(f14032,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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,[],[f14031]) ).
fof(f14035,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f7471]) ).
fof(f14036,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f14035]) ).
fof(f14069,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(f14070,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,[],[f14069]) ).
fof(f14078,plain,
( ~ r2_hidden(k3_group_1(sK2,sK4),k1_funct_1(k1_latsubgr(sK2),sK3))
& r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK2),sK3))
& 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]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f13993]) ).
fof(f14106,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,[],[f14070]) ).
fof(f14110,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f14078]) ).
fof(f14111,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f14078]) ).
fof(f14112,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f14078]) ).
fof(f14113,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f14078]) ).
fof(f14114,plain,
m1_group_2(sK3,sK2),
inference(cnf_transformation,[],[f14078]) ).
fof(f14115,plain,
v1_group_1(sK3),
inference(cnf_transformation,[],[f14078]) ).
fof(f14116,plain,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f14078]) ).
fof(f14117,plain,
r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK2),sK3)),
inference(cnf_transformation,[],[f14078]) ).
fof(f14118,plain,
~ r2_hidden(k3_group_1(sK2,sK4),k1_funct_1(k1_latsubgr(sK2),sK3)),
inference(cnf_transformation,[],[f14078]) ).
fof(f14176,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,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,[],[f14032]) ).
fof(f14178,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f14036]) ).
fof(f14205,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,[],[f14106]) ).
fof(f14206,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,[],[f14106]) ).
fof(f14269,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,[],[f14117,f14205]) ).
fof(f14278,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,[],[f14269,f14116]) ).
fof(f14279,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,[],[f14278,f14115]) ).
fof(f14280,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,[],[f14279,f14114]) ).
fof(f14281,plain,
( r1_rlvect_1(sK3,sK4)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14280,f14113]) ).
fof(f14282,plain,
( r1_rlvect_1(sK3,sK4)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14281,f14112]) ).
fof(f14283,plain,
( r1_rlvect_1(sK3,sK4)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14282,f14111]) ).
fof(f14284,plain,
r1_rlvect_1(sK3,sK4),
inference(forward_subsumption_resolution,[],[f14283,f14110]) ).
fof(f14285,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| ~ m1_subset_1(k3_group_1(sK2,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,[],[f14118,f14206]) ).
fof(f14290,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| ~ m1_subset_1(k3_group_1(sK2,sK4),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,[],[f14285,f14115]) ).
fof(f14293,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| ~ m1_subset_1(k3_group_1(sK2,sK4),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14290,f14114]) ).
fof(f14295,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| ~ m1_subset_1(k3_group_1(sK2,sK4),u1_struct_0(sK2))
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14293,f14113]) ).
fof(f14297,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| ~ m1_subset_1(k3_group_1(sK2,sK4),u1_struct_0(sK2))
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14295,f14112]) ).
fof(f14299,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| ~ m1_subset_1(k3_group_1(sK2,sK4),u1_struct_0(sK2))
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f14297,f14111]) ).
fof(f14300,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| ~ m1_subset_1(k3_group_1(sK2,sK4),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f14299,f14110]) ).
fof(f14302,definition,
( spl29_1
<=> m1_subset_1(k3_group_1(sK2,sK4),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f14304,plain,
( ~ m1_subset_1(k3_group_1(sK2,sK4),u1_struct_0(sK2))
| spl29_1 ),
inference(avatar_component_clause,[],[f14302]) ).
fof(f14306,definition,
( spl29_2
<=> r1_rlvect_1(sK3,k3_group_1(sK2,sK4)) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f14308,plain,
( ~ r1_rlvect_1(sK3,k3_group_1(sK2,sK4))
| spl29_2 ),
inference(avatar_component_clause,[],[f14306]) ).
fof(f14309,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f14300,f14306,f14302]) ).
fof(f14365,plain,
( v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| spl29_1 ),
inference(resolution,[],[f14304,f14178]) ).
fof(f14370,plain,
( ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f14365,f14113]) ).
fof(f14373,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f14370,f14112]) ).
fof(f14375,plain,
( ~ l1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f14373,f14111]) ).
fof(f14377,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK2))
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f14375,f14110]) ).
fof(f14379,plain,
( $false
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f14377,f14116]) ).
fof(f14380,plain,
spl29_1,
inference(avatar_contradiction_clause,[],[f14379]) ).
fof(f14381,plain,
( ~ r1_rlvect_1(sK3,sK4)
| ~ m1_group_2(sK3,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)
| spl29_2 ),
inference(resolution,[],[f14308,f14176]) ).
fof(f14386,plain,
( ~ m1_group_2(sK3,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)
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f14381,f14284]) ).
fof(f14389,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)
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f14386,f14114]) ).
fof(f14391,plain,
( v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f14389,f14116]) ).
fof(f14393,plain,
( ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f14391,f14113]) ).
fof(f14395,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f14393,f14112]) ).
fof(f14396,plain,
( ~ l1_group_1(sK2)
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f14395,f14111]) ).
fof(f14397,plain,
( $false
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f14396,f14110]) ).
fof(f14398,plain,
spl29_2,
inference(avatar_contradiction_clause,[],[f14397]) ).
cnf(s1,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(sat_conversion,[],[f14309]) ).
cnf(s4,plain,
spl29_1,
inference(sat_conversion,[],[f14380]) ).
cnf(s5,plain,
spl29_2,
inference(sat_conversion,[],[f14398]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s4]) ).
fof(f14399,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP644+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n004.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 10:24:10 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 4.25/2.08 % (3306129)Detected formulas, will run a generic FOF schedule.
% 4.25/2.08 % (3306134)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=133533511:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 4.25/2.08 % (3306139)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=73970151:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 4.25/2.08 % (3306138)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=909641914:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 4.25/2.08 % (3306135)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=2329112291:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 4.25/2.08 % (3306137)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=598497280:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 4.25/2.08 % (3306136)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=3927917996:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 4.25/2.08 % (3306140)dis-21_1_sil=8000:lcm=predicate:random_seed=3545910271: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)
% 4.25/2.08 % (3306139)Instruction limit reached!
% 4.25/2.08 % (3306139)------------------------------
% 4.25/2.08 % (3306139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.25/2.08 % (3306139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/2.08 % (3306139)CaDiCaL version: 2.1.3
% 4.25/2.08 % (3306139)Termination reason: Instruction limit
% 4.25/2.08 % (3306139)Termination phase: Property scanning
% 4.25/2.08 % (3306139)Time elapsed: 0.060 s
% 4.25/2.08 % (3306139)Peak memory usage: 103 MB
% 4.25/2.08 % (3306139)Instructions burned: 139 (million)
% 4.25/2.08 % (3306137)First to succeed.
% 4.25/2.08 % (3306137)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3306129"
% 4.25/2.08 % (3306138)Instruction limit reached!
% 4.25/2.08 % (3306138)------------------------------
% 4.25/2.08 % (3306138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.25/2.08 % (3306138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/2.08 % (3306138)CaDiCaL version: 2.1.3
% 4.25/2.08 % (3306138)Termination reason: Instruction limit
% 4.25/2.08 % (3306138)Termination phase: Saturation
% 4.25/2.08 % (3306138)Time elapsed: 0.088 s
% 4.25/2.08 % (3306138)Peak memory usage: 107 MB
% 4.25/2.08 % (3306138)Instructions burned: 120 (million)
% 4.25/2.08 % (3306140)Instruction limit reached!
% 4.25/2.08 % (3306140)------------------------------
% 4.25/2.08 % (3306140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.25/2.08 % (3306140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/2.08 % (3306140)CaDiCaL version: 2.1.3
% 4.25/2.08 % (3306140)Termination reason: Instruction limit
% 4.25/2.08 % (3306140)Termination phase: Preprocessing 1
% 4.25/2.08 % (3306140)Time elapsed: 0.096 s
% 4.25/2.08 % (3306140)Peak memory usage: 104 MB
% 4.25/2.08 % (3306140)Instructions burned: 129 (million)
% 4.25/2.08 % (3306148)lrs+10_1_sil=8000:sp=occurrence:random_seed=3989394485:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 4.25/2.08 % (3306149)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2433287609:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 4.25/2.08 % (3306150)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1481231639:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 4.25/2.08 % (3306149)Instruction limit reached!
% 4.25/2.08 % (3306149)------------------------------
% 4.25/2.08 % (3306149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.25/2.08 % (3306149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/2.08 % (3306149)CaDiCaL version: 2.1.3
% 4.25/2.08 % (3306149)Termination reason: Instruction limit
% 4.25/2.08 % (3306149)Termination phase: Property scanning
% 4.25/2.08 % (3306149)Time elapsed: 0.068 s
% 4.25/2.08 % (3306149)Peak memory usage: 103 MB
% 4.25/2.08 % (3306149)Instructions burned: 158 (million)
% 4.25/2.08 % (3306137)Refutation found. Thanks to Tanya!
% 4.25/2.08 % SZS status Theorem for theBenchmark
% 4.25/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 4.82/2.28 % (3306137)------------------------------
% 4.82/2.28 % (3306137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.82/2.28 % (3306137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/2.28 % (3306137)CaDiCaL version: 2.1.3
% 4.82/2.28 % (3306137)Termination reason: Refutation
% 4.82/2.28 % (3306137)Time elapsed: 0.077 s
% 4.82/2.28 % (3306137)Peak memory usage: 109 MB
% 4.82/2.28 % (3306137)Instructions burned: 99 (million)
% 4.82/2.28 % (3306137)------------------------------
% 4.82/2.28 % (3306137)------------------------------
% 4.82/2.28 % (3306129)Success in time 1.194 s
% 4.82/2.28 % Vampire exiting
%------------------------------------------------------------------------------