%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP643+4 : 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 : n013.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 13.37s 4.94s
% Output : Refutation 15.15s
% 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(f18992,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(f21870,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(f36508,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(f36511,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(f36512,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)],[f36511]) ).
fof(f36590,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,[],[f36508]) ).
fof(f36591,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,[],[f36590]) ).
fof(f36596,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,[],[f36512]) ).
fof(f36597,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,[],[f36596]) ).
fof(f36851,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,[],[f21870]) ).
fof(f36852,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,[],[f36851]) ).
fof(f37073,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,[],[f18992]) ).
fof(f37074,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,[],[f37073]) ).
fof(f37105,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,[],[f36591]) ).
fof(f37106,plain,
( ~ r2_hidden(k1_group_1(sK7,sK9,sK10),k1_funct_1(k1_latsubgr(sK7),sK8))
& r2_hidden(sK9,k1_funct_1(k1_latsubgr(sK7),sK8))
& r2_hidden(sK10,k1_funct_1(k1_latsubgr(sK7),sK8))
& m1_subset_1(sK10,u1_struct_0(sK7))
& m1_subset_1(sK9,u1_struct_0(sK7))
& v1_group_1(sK8)
& m1_group_2(sK8,sK7)
& ~ v3_struct_0(sK7)
& v3_group_1(sK7)
& v4_group_1(sK7)
& l1_group_1(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X3,sK10)],[f36597]) ).
fof(f37294,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,[],[f37105]) ).
fof(f37295,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,[],[f37105]) ).
fof(f37298,plain,
l1_group_1(sK7),
inference(cnf_transformation,[],[f37106]) ).
fof(f37299,plain,
v4_group_1(sK7),
inference(cnf_transformation,[],[f37106]) ).
fof(f37300,plain,
v3_group_1(sK7),
inference(cnf_transformation,[],[f37106]) ).
fof(f37301,plain,
~ v3_struct_0(sK7),
inference(cnf_transformation,[],[f37106]) ).
fof(f37302,plain,
m1_group_2(sK8,sK7),
inference(cnf_transformation,[],[f37106]) ).
fof(f37303,plain,
v1_group_1(sK8),
inference(cnf_transformation,[],[f37106]) ).
fof(f37304,plain,
m1_subset_1(sK9,u1_struct_0(sK7)),
inference(cnf_transformation,[],[f37106]) ).
fof(f37305,plain,
m1_subset_1(sK10,u1_struct_0(sK7)),
inference(cnf_transformation,[],[f37106]) ).
fof(f37306,plain,
r2_hidden(sK10,k1_funct_1(k1_latsubgr(sK7),sK8)),
inference(cnf_transformation,[],[f37106]) ).
fof(f37307,plain,
r2_hidden(sK9,k1_funct_1(k1_latsubgr(sK7),sK8)),
inference(cnf_transformation,[],[f37106]) ).
fof(f37308,plain,
~ r2_hidden(k1_group_1(sK7,sK9,sK10),k1_funct_1(k1_latsubgr(sK7),sK8)),
inference(cnf_transformation,[],[f37106]) ).
fof(f37638,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,[],[f36852]) ).
fof(f37885,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,[],[f37074]) ).
fof(f38068,plain,
( r1_rlvect_1(sK8,sK10)
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| ~ v1_group_1(sK8)
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(resolution,[],[f37306,f37294]) ).
fof(f38075,plain,
( r1_rlvect_1(sK8,sK10)
| ~ v1_group_1(sK8)
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38068,f37305]) ).
fof(f38076,plain,
( r1_rlvect_1(sK8,sK10)
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38075,f37303]) ).
fof(f38077,plain,
( r1_rlvect_1(sK8,sK10)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38076,f37302]) ).
fof(f38078,plain,
( r1_rlvect_1(sK8,sK10)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38077,f37301]) ).
fof(f38079,plain,
( r1_rlvect_1(sK8,sK10)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38078,f37300]) ).
fof(f38080,plain,
( r1_rlvect_1(sK8,sK10)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38079,f37299]) ).
fof(f38081,plain,
r1_rlvect_1(sK8,sK10),
inference(forward_subsumption_resolution,[],[f38080,f37298]) ).
fof(f38083,plain,
( r1_rlvect_1(sK8,sK9)
| ~ m1_subset_1(sK9,u1_struct_0(sK7))
| ~ v1_group_1(sK8)
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(resolution,[],[f37307,f37294]) ).
fof(f38090,plain,
( r1_rlvect_1(sK8,sK9)
| ~ v1_group_1(sK8)
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38083,f37304]) ).
fof(f38091,plain,
( r1_rlvect_1(sK8,sK9)
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38090,f37303]) ).
fof(f38092,plain,
( r1_rlvect_1(sK8,sK9)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38091,f37302]) ).
fof(f38093,plain,
( r1_rlvect_1(sK8,sK9)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38092,f37301]) ).
fof(f38094,plain,
( r1_rlvect_1(sK8,sK9)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38093,f37300]) ).
fof(f38095,plain,
( r1_rlvect_1(sK8,sK9)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38094,f37299]) ).
fof(f38096,plain,
r1_rlvect_1(sK8,sK9),
inference(forward_subsumption_resolution,[],[f38095,f37298]) ).
fof(f38097,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7))
| ~ v1_group_1(sK8)
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(resolution,[],[f37308,f37295]) ).
fof(f38113,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7))
| ~ m1_group_2(sK8,sK7)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38097,f37303]) ).
fof(f38116,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38113,f37302]) ).
fof(f38119,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7))
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38116,f37301]) ).
fof(f38122,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7))
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38119,f37300]) ).
fof(f38124,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7))
| ~ l1_group_1(sK7) ),
inference(forward_subsumption_resolution,[],[f38122,f37299]) ).
fof(f38125,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7)) ),
inference(forward_subsumption_resolution,[],[f38124,f37298]) ).
fof(f38127,definition,
( spl101_9
<=> m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7)) ),
introduced(definition,[new_symbols(definition,[spl101_9])],[avatar_definition]) ).
fof(f38128,plain,
( ~ m1_subset_1(k1_group_1(sK7,sK9,sK10),u1_struct_0(sK7))
| spl101_9 ),
inference(avatar_component_clause,[],[f38127]) ).
fof(f38130,definition,
( spl101_10
<=> r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10)) ),
introduced(definition,[new_symbols(definition,[spl101_10])],[avatar_definition]) ).
fof(f38131,plain,
( ~ r1_rlvect_1(sK8,k1_group_1(sK7,sK9,sK10))
| spl101_10 ),
inference(avatar_component_clause,[],[f38130]) ).
fof(f38132,plain,
( ~ spl101_9
| ~ spl101_10 ),
inference(avatar_split_clause,[],[f38125,f38130,f38127]) ).
fof(f38175,plain,
( ~ r1_rlvect_1(sK8,sK9)
| ~ r1_rlvect_1(sK8,sK10)
| ~ m1_group_2(sK8,sK7)
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| ~ m1_subset_1(sK9,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(resolution,[],[f38131,f37638]) ).
fof(f38182,plain,
( ~ r1_rlvect_1(sK8,sK10)
| ~ m1_group_2(sK8,sK7)
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| ~ m1_subset_1(sK9,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38175,f38096]) ).
fof(f38186,plain,
( ~ m1_group_2(sK8,sK7)
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| ~ m1_subset_1(sK9,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38182,f38081]) ).
fof(f38190,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK7))
| ~ m1_subset_1(sK9,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38186,f37302]) ).
fof(f38193,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38190,f37305]) ).
fof(f38195,plain,
( v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38193,f37304]) ).
fof(f38196,plain,
( ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38195,f37301]) ).
fof(f38197,plain,
( ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38196,f37300]) ).
fof(f38198,plain,
( ~ l1_group_1(sK7)
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38197,f37299]) ).
fof(f38199,plain,
( $false
| spl101_10 ),
inference(forward_subsumption_resolution,[],[f38198,f37298]) ).
fof(f38200,plain,
spl101_10,
inference(avatar_contradiction_clause,[],[f38199]) ).
fof(f38205,plain,
( v3_struct_0(sK7)
| ~ l1_group_1(sK7)
| ~ m1_subset_1(sK9,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl101_9 ),
inference(resolution,[],[f38128,f37885]) ).
fof(f38216,plain,
( ~ l1_group_1(sK7)
| ~ m1_subset_1(sK9,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl101_9 ),
inference(forward_subsumption_resolution,[],[f38205,f37301]) ).
fof(f38220,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK7))
| ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl101_9 ),
inference(forward_subsumption_resolution,[],[f38216,f37298]) ).
fof(f38224,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK7))
| spl101_9 ),
inference(forward_subsumption_resolution,[],[f38220,f37304]) ).
fof(f38227,plain,
( $false
| spl101_9 ),
inference(forward_subsumption_resolution,[],[f38224,f37305]) ).
fof(f38228,plain,
spl101_9,
inference(avatar_contradiction_clause,[],[f38227]) ).
cnf(s9,plain,
( ~ spl101_9
| ~ spl101_10 ),
inference(sat_conversion,[],[f38132]) ).
cnf(s17,plain,
spl101_10,
inference(sat_conversion,[],[f38200]) ).
cnf(s18,plain,
spl101_9,
inference(sat_conversion,[],[f38228]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s9,s17,s18]) ).
fof(f38230,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP643+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n013.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 10:22:47 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 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
% 13.37/4.94 % (11610)Detected formulas, will run a generic FOF schedule.
% 13.37/4.94 % (11615)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=3718937043:i=141193_2976 on theBenchmark for (2976ds/141193Mi)
% 13.37/4.94 % (11616)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=301804929:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2976 on theBenchmark for (2976ds/134677Mi)
% 13.37/4.94 % (11618)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3335286917:i=109:sd=1:ins=1:gsp=on:ss=axioms_2976 on theBenchmark for (2976ds/109Mi)
% 13.37/4.94 % (11617)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=1929446016:i=141695:sd=1:nm=32:gsp=on:ss=included_2976 on theBenchmark for (2976ds/141695Mi)
% 13.37/4.94 % (11620)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2715750077:s2a=on:i=139:gtg=position_2976 on theBenchmark for (2976ds/139Mi)
% 13.37/4.94 % (11619)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2289756952:i=119:av=off:ss=axioms_2976 on theBenchmark for (2976ds/119Mi)
% 13.37/4.94 % (11621)dis-21_1_sil=8000:lcm=predicate:random_seed=3592265553:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2976 on theBenchmark for (2976ds/129Mi)
% 13.37/4.94 % (11620)Instruction limit reached!
% 13.37/4.94 % (11620)------------------------------
% 13.37/4.94 % (11620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11620)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11620)Termination reason: Instruction limit
% 13.37/4.94 % (11620)Termination phase: Property scanning
% 13.37/4.94 % (11620)Time elapsed: 0.064 s
% 13.37/4.94 % (11620)Peak memory usage: 139 MB
% 13.37/4.94 % (11620)Instructions burned: 140 (million)
% 13.37/4.94 % (11618)Instruction limit reached!
% 13.37/4.94 % (11618)------------------------------
% 13.37/4.94 % (11618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11618)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11618)Termination reason: Instruction limit
% 13.37/4.94 % (11618)Termination phase: SInE selection
% 13.37/4.94 % (11618)Time elapsed: 0.082 s
% 13.37/4.94 % (11618)Peak memory usage: 139 MB
% 13.37/4.94 % (11618)Instructions burned: 109 (million)
% 13.37/4.94 % (11619)Instruction limit reached!
% 13.37/4.94 % (11619)------------------------------
% 13.37/4.94 % (11619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11619)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11619)Termination reason: Instruction limit
% 13.37/4.94 % (11619)Termination phase: SInE selection
% 13.37/4.94 % (11619)Time elapsed: 0.091 s
% 13.37/4.94 % (11619)Peak memory usage: 139 MB
% 13.37/4.94 % (11619)Instructions burned: 119 (million)
% 13.37/4.94 % (11621)Instruction limit reached!
% 13.37/4.94 % (11621)------------------------------
% 13.37/4.94 % (11621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11621)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11621)Termination reason: Instruction limit
% 13.37/4.94 % (11621)Termination phase: SInE selection
% 13.37/4.94 % (11621)Time elapsed: 0.095 s
% 13.37/4.94 % (11621)Peak memory usage: 139 MB
% 13.37/4.94 % (11621)Instructions burned: 129 (million)
% 13.37/4.94 % (11629)lrs+10_1_sil=8000:sp=occurrence:random_seed=1232993346:i=285:sd=3:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/285Mi)
% 13.37/4.94 % (11630)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2835877767:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/157Mi)
% 13.37/4.94 % (11631)lrs+1011_1_sil=32000:sp=occurrence:random_seed=175699293:i=325:sd=1:ss=axioms:sgt=32_2973 on theBenchmark for (2973ds/325Mi)
% 13.37/4.94 % (11632)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=948974336:s2a=on:i=248:s2at=1.23:gtg=position_2973 on theBenchmark for (2973ds/248Mi)
% 13.37/4.94 % (11630)Instruction limit reached!
% 13.37/4.94 % (11630)------------------------------
% 13.37/4.94 % (11630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11630)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11630)Termination reason: Instruction limit
% 13.37/4.94 % (11630)Termination phase: Property scanning
% 13.37/4.94 % (11630)Time elapsed: 0.071 s
% 13.37/4.94 % (11630)Peak memory usage: 139 MB
% 13.37/4.94 % (11630)Instructions burned: 158 (million)
% 13.37/4.94 % (11632)Instruction limit reached!
% 13.37/4.94 % (11632)------------------------------
% 13.37/4.94 % (11632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11632)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11632)Termination reason: Instruction limit
% 13.37/4.94 % (11632)Termination phase: Property scanning
% 13.37/4.94 % (11632)Time elapsed: 0.109 s
% 13.37/4.94 % (11632)Peak memory usage: 139 MB
% 13.37/4.94 % (11632)Instructions burned: 249 (million)
% 13.37/4.94 % (11629)Instruction limit reached!
% 13.37/4.94 % (11629)------------------------------
% 13.37/4.94 % (11629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11629)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11629)Termination reason: Instruction limit
% 13.37/4.94 % (11629)Termination phase: Saturation
% 13.37/4.94 % (11629)Time elapsed: 0.223 s
% 13.37/4.94 % (11629)Peak memory usage: 144 MB
% 13.37/4.94 % (11629)Instructions burned: 285 (million)
% 13.37/4.94 % (11637)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2895776911:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2971 on theBenchmark for (2971ds/294Mi)
% 13.37/4.94 % (11631)Instruction limit reached!
% 13.37/4.94 % (11631)------------------------------
% 13.37/4.94 % (11631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11631)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11631)Termination reason: Instruction limit
% 13.37/4.94 % (11631)Termination phase: Saturation
% 13.37/4.94 % (11631)Time elapsed: 0.264 s
% 13.37/4.94 % (11631)Peak memory usage: 145 MB
% 13.37/4.94 % (11631)Instructions burned: 325 (million)
% 13.37/4.94 % (11638)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4110196319:i=2350_2971 on theBenchmark for (2971ds/2350Mi)
% 13.37/4.94 % (11639)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3346896015:cts=off:i=113:fsr=off:ss=included:sgt=4_2970 on theBenchmark for (2970ds/113Mi)
% 13.37/4.94 % (11637)Instruction limit reached!
% 13.37/4.94 % (11637)------------------------------
% 13.37/4.94 % (11637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11637)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11637)Termination reason: Instruction limit
% 13.37/4.94 % (11637)Termination phase: SInE selection
% 13.37/4.94 % (11637)Time elapsed: 0.190 s
% 13.37/4.94 % (11637)Peak memory usage: 140 MB
% 13.37/4.94 % (11637)Instructions burned: 294 (million)
% 13.37/4.94 % (11639)Instruction limit reached!
% 13.37/4.94 % (11639)------------------------------
% 13.37/4.94 % (11639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11639)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11639)Termination reason: Instruction limit
% 13.37/4.94 % (11639)Termination phase: SInE selection
% 13.37/4.94 % (11639)Time elapsed: 0.086 s
% 13.37/4.94 % (11639)Peak memory usage: 139 MB
% 13.37/4.94 % (11639)Instructions burned: 113 (million)
% 13.37/4.94 % (11641)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=586614366:i=127:av=off:fsr=off:sup=off_2969 on theBenchmark for (2969ds/127Mi)
% 13.37/4.94 % (11641)Instruction limit reached!
% 13.37/4.94 % (11641)------------------------------
% 13.37/4.94 % (11641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11641)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11641)Termination reason: Instruction limit
% 13.37/4.94 % (11641)Termination phase: Preprocessing 1
% 13.37/4.94 % (11641)Time elapsed: 0.098 s
% 13.37/4.94 % (11641)Peak memory usage: 140 MB
% 13.37/4.94 % (11641)Instructions burned: 128 (million)
% 13.37/4.94 % (11644)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3511092714:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2968 on theBenchmark for (2968ds/114Mi)
% 13.37/4.94 % (11645)lrs+10_1_sil=8000:sp=occurrence:random_seed=734155473:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2967 on theBenchmark for (2967ds/907Mi)
% 13.37/4.94 % (11644)Instruction limit reached!
% 13.37/4.94 % (11644)------------------------------
% 13.37/4.94 % (11644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11644)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11644)Termination reason: Instruction limit
% 13.37/4.94 % (11644)Termination phase: Property scanning
% 13.37/4.94 % (11644)Time elapsed: 0.052 s
% 13.37/4.94 % (11644)Peak memory usage: 139 MB
% 13.37/4.94 % (11644)Instructions burned: 114 (million)
% 13.37/4.94 % (11647)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=529503473:i=437:sd=1:aac=none:ss=included_2966 on theBenchmark for (2966ds/437Mi)
% 13.37/4.94 % (11650)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2069321389:i=5202:ss=axioms:sgt=16_2965 on theBenchmark for (2965ds/5202Mi)
% 13.37/4.94 % (11647)First to succeed.
% 13.37/4.94 % (11647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11610"
% 13.37/4.94 % (11645)Instruction limit reached!
% 13.37/4.94 % (11645)------------------------------
% 13.37/4.94 % (11645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/4.94 % (11645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/4.94 % (11645)CaDiCaL version: 2.1.3
% 13.37/4.94 % (11645)Termination reason: Instruction limit
% 13.37/4.94 % (11645)Termination phase: Saturation
% 13.37/4.94 % (11645)Time elapsed: 0.595 s
% 13.37/4.94 % (11645)Peak memory usage: 154 MB
% 13.37/4.94 % (11645)Instructions burned: 907 (million)
% 13.37/4.94 % (11647)Refutation found. Thanks to Tanya!
% 13.37/4.94 % SZS status Theorem for theBenchmark
% 13.37/4.94 % SZS output start Proof for theBenchmark
% See solution above
% 15.15/5.19 % (11647)------------------------------
% 15.15/5.19 % (11647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.15/5.19 % (11647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.15/5.19 % (11647)CaDiCaL version: 2.1.3
% 15.15/5.19 % (11647)Termination reason: Refutation
% 15.15/5.19 % (11647)Time elapsed: 0.247 s
% 15.15/5.19 % (11647)Peak memory usage: 146 MB
% 15.15/5.19 % (11647)Instructions burned: 320 (million)
% 15.15/5.19 % (11647)------------------------------
% 15.15/5.19 % (11647)------------------------------
% 15.15/5.19 % (11610)Success in time 4.06 s
% 15.15/5.19 % Vampire exiting
%------------------------------------------------------------------------------