%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP644+2 : 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 : n018.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 3.22s 1.18s
% Output : Refutation 3.60s
% 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(f3813,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/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f4404,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/sandbox/benchmark/theBenchmark.p',t60_group_2) ).
fof(f5657,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/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f5661,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/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(f5662,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)],[f5661]) ).
fof(f5670,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,[],[f5662]) ).
fof(f5671,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,[],[f5670]) ).
fof(f5709,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,[],[f4404]) ).
fof(f5710,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,[],[f5709]) ).
fof(f5715,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,[],[f3813]) ).
fof(f5716,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,[],[f5715]) ).
fof(f5749,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,[],[f5657]) ).
fof(f5750,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,[],[f5749]) ).
fof(f5760,plain,
( ~ r2_hidden(k3_group_1(sK3,sK5),k1_funct_1(k1_latsubgr(sK3),sK4))
& r2_hidden(sK5,k1_funct_1(k1_latsubgr(sK3),sK4))
& m1_subset_1(sK5,u1_struct_0(sK3))
& v1_group_1(sK4)
& m1_group_2(sK4,sK3)
& ~ v3_struct_0(sK3)
& v3_group_1(sK3)
& v4_group_1(sK3)
& l1_group_1(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f5671]) ).
fof(f5793,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,[],[f5750]) ).
fof(f5797,plain,
l1_group_1(sK3),
inference(cnf_transformation,[],[f5760]) ).
fof(f5798,plain,
v4_group_1(sK3),
inference(cnf_transformation,[],[f5760]) ).
fof(f5799,plain,
v3_group_1(sK3),
inference(cnf_transformation,[],[f5760]) ).
fof(f5800,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f5760]) ).
fof(f5801,plain,
m1_group_2(sK4,sK3),
inference(cnf_transformation,[],[f5760]) ).
fof(f5802,plain,
v1_group_1(sK4),
inference(cnf_transformation,[],[f5760]) ).
fof(f5803,plain,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f5760]) ).
fof(f5804,plain,
r2_hidden(sK5,k1_funct_1(k1_latsubgr(sK3),sK4)),
inference(cnf_transformation,[],[f5760]) ).
fof(f5805,plain,
~ r2_hidden(k3_group_1(sK3,sK5),k1_funct_1(k1_latsubgr(sK3),sK4)),
inference(cnf_transformation,[],[f5760]) ).
fof(f5863,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,[],[f5710]) ).
fof(f5873,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,[],[f5716]) ).
fof(f5900,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,[],[f5793]) ).
fof(f5901,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,[],[f5793]) ).
fof(f5964,plain,
( r1_rlvect_1(sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ v1_group_1(sK4)
| ~ m1_group_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(resolution,[],[f5804,f5900]) ).
fof(f5973,plain,
( r1_rlvect_1(sK4,sK5)
| ~ v1_group_1(sK4)
| ~ m1_group_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5964,f5803]) ).
fof(f5974,plain,
( r1_rlvect_1(sK4,sK5)
| ~ m1_group_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5973,f5802]) ).
fof(f5975,plain,
( r1_rlvect_1(sK4,sK5)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5974,f5801]) ).
fof(f5976,plain,
( r1_rlvect_1(sK4,sK5)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5975,f5800]) ).
fof(f5977,plain,
( r1_rlvect_1(sK4,sK5)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5976,f5799]) ).
fof(f5978,plain,
( r1_rlvect_1(sK4,sK5)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5977,f5798]) ).
fof(f5979,plain,
r1_rlvect_1(sK4,sK5),
inference(forward_subsumption_resolution,[],[f5978,f5797]) ).
fof(f5980,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3))
| ~ v1_group_1(sK4)
| ~ m1_group_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(resolution,[],[f5805,f5901]) ).
fof(f5985,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3))
| ~ m1_group_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5980,f5802]) ).
fof(f5988,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5985,f5801]) ).
fof(f5990,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3))
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5988,f5800]) ).
fof(f5992,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3))
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5990,f5799]) ).
fof(f5994,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3))
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f5992,f5798]) ).
fof(f5995,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3)) ),
inference(forward_subsumption_resolution,[],[f5994,f5797]) ).
fof(f5997,definition,
( spl33_1
<=> m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f5999,plain,
( ~ m1_subset_1(k3_group_1(sK3,sK5),u1_struct_0(sK3))
| spl33_1 ),
inference(avatar_component_clause,[],[f5997]) ).
fof(f6001,definition,
( spl33_2
<=> r1_rlvect_1(sK4,k3_group_1(sK3,sK5)) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f6003,plain,
( ~ r1_rlvect_1(sK4,k3_group_1(sK3,sK5))
| spl33_2 ),
inference(avatar_component_clause,[],[f6001]) ).
fof(f6004,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f5995,f6001,f5997]) ).
fof(f6060,plain,
( v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| spl33_1 ),
inference(resolution,[],[f5999,f5873]) ).
fof(f6065,plain,
( ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f6060,f5800]) ).
fof(f6068,plain,
( ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f6065,f5799]) ).
fof(f6070,plain,
( ~ l1_group_1(sK3)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f6068,f5798]) ).
fof(f6072,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK3))
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f6070,f5797]) ).
fof(f6074,plain,
( $false
| spl33_1 ),
inference(forward_subsumption_resolution,[],[f6072,f5803]) ).
fof(f6075,plain,
spl33_1,
inference(avatar_contradiction_clause,[],[f6074]) ).
fof(f6076,plain,
( ~ r1_rlvect_1(sK4,sK5)
| ~ m1_group_2(sK4,sK3)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| spl33_2 ),
inference(resolution,[],[f6003,f5863]) ).
fof(f6081,plain,
( ~ m1_group_2(sK4,sK3)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f6076,f5979]) ).
fof(f6084,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f6081,f5801]) ).
fof(f6086,plain,
( v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f6084,f5803]) ).
fof(f6088,plain,
( ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f6086,f5800]) ).
fof(f6090,plain,
( ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f6088,f5799]) ).
fof(f6091,plain,
( ~ l1_group_1(sK3)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f6090,f5798]) ).
fof(f6092,plain,
( $false
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f6091,f5797]) ).
fof(f6093,plain,
spl33_2,
inference(avatar_contradiction_clause,[],[f6092]) ).
cnf(s1,plain,
( ~ spl33_1
| ~ spl33_2 ),
inference(sat_conversion,[],[f6004]) ).
cnf(s4,plain,
spl33_1,
inference(sat_conversion,[],[f6075]) ).
cnf(s5,plain,
spl33_2,
inference(sat_conversion,[],[f6093]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s4]) ).
fof(f6094,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP644+2 : 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 : n018.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 10:27:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 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
% 3.22/1.18 % (2125954)Detected formulas, will run a generic FOF schedule.
% 3.22/1.18 % (2125964)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2183259934:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.22/1.18 % (2125959)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=1971272692:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.22/1.18 % (2125961)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=3138485579:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.22/1.18 % (2125965)dis-21_1_sil=8000:lcm=predicate:random_seed=2658671739:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.22/1.18 % (2125963)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3766332456:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.22/1.18 % (2125960)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=1247764628:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.22/1.18 % (2125962)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2555634490:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.22/1.18 % (2125962)First to succeed.
% 3.22/1.18 % (2125962)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2125954"
% 3.22/1.18 % (2125964)Instruction limit reached!
% 3.22/1.18 % (2125964)------------------------------
% 3.22/1.18 % (2125964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.18 % (2125964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.18 % (2125964)CaDiCaL version: 2.1.3
% 3.22/1.18 % (2125964)Termination reason: Instruction limit
% 3.22/1.18 % (2125964)Termination phase: Unused predicate definition removal
% 3.22/1.18 % (2125964)Time elapsed: 0.055 s
% 3.22/1.18 % (2125964)Peak memory usage: 93 MB
% 3.22/1.18 % (2125964)Instructions burned: 139 (million)
% 3.22/1.18 % (2125963)Instruction limit reached!
% 3.22/1.18 % (2125963)------------------------------
% 3.22/1.18 % (2125963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.18 % (2125963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.18 % (2125963)CaDiCaL version: 2.1.3
% 3.22/1.18 % (2125963)Termination reason: Instruction limit
% 3.22/1.18 % (2125963)Termination phase: Saturation
% 3.22/1.18 % (2125963)Time elapsed: 0.080 s
% 3.22/1.18 % (2125963)Peak memory usage: 96 MB
% 3.22/1.18 % (2125963)Instructions burned: 119 (million)
% 3.22/1.18 % (2125965)Instruction limit reached!
% 3.22/1.18 % (2125965)------------------------------
% 3.22/1.18 % (2125965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.18 % (2125965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.18 % (2125965)CaDiCaL version: 2.1.3
% 3.22/1.18 % (2125965)Termination reason: Instruction limit
% 3.22/1.18 % (2125965)Termination phase: Preprocessing 3
% 3.22/1.18 % (2125965)Time elapsed: 0.099 s
% 3.22/1.18 % (2125965)Peak memory usage: 96 MB
% 3.22/1.18 % (2125965)Instructions burned: 130 (million)
% 3.22/1.18 % (2125973)lrs+10_1_sil=8000:sp=occurrence:random_seed=1202866855:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.22/1.18 % (2125974)lrs+10_1_sil=32000:urr=on:br=off:random_seed=761577421:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.22/1.18 % (2125975)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3331292709:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.22/1.18 % (2125973)Also succeeded, but the first one will report.
% 3.22/1.18 % (2125962)Refutation found. Thanks to Tanya!
% 3.22/1.18 % SZS status Theorem for theBenchmark
% 3.22/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.27 % (2125962)------------------------------
% 3.60/1.27 % (2125962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.27 % (2125962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.27 % (2125962)CaDiCaL version: 2.1.3
% 3.60/1.27 % (2125962)Termination reason: Refutation
% 3.60/1.27 % (2125962)Time elapsed: 0.035 s
% 3.60/1.27 % (2125962)Peak memory usage: 96 MB
% 3.60/1.27 % (2125962)Instructions burned: 47 (million)
% 3.60/1.27 % (2125962)------------------------------
% 3.60/1.27 % (2125962)------------------------------
% 3.60/1.27 % (2125954)Success in time 0.551 s
% 3.60/1.27 % Vampire exiting
%------------------------------------------------------------------------------