%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 10:18:22 AM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Refutation 0.09s
% 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(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(f62,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(f63,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,[],[f62]) ).
fof(f75,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(f76,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,[],[f75]) ).
fof(f97,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(f98,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,[],[f97]) ).
fof(f105,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(f106,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,[],[f105]) ).
fof(f111,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)],[f63]) ).
fof(f127,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,[],[f98]) ).
fof(f128,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f129,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f130,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f131,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f132,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f133,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f111]) ).
fof(f134,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f111]) ).
fof(f135,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f111]) ).
fof(f136,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f111]) ).
fof(f137,plain,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f111]) ).
fof(f138,plain,
~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f111]) ).
fof(f152,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,[],[f76]) ).
fof(f195,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,[],[f127]) ).
fof(f196,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,[],[f127]) ).
fof(f201,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,[],[f106]) ).
fof(f399,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,[],[f195,f136]) ).
fof(f400,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,[],[f195,f137]) ).
fof(f402,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,[],[f400,f134]) ).
fof(f403,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,[],[f399,f135]) ).
fof(f404,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,[],[f402,f133]) ).
fof(f405,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,[],[f403,f133]) ).
fof(f406,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,[],[f404,f132]) ).
fof(f407,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,[],[f405,f132]) ).
fof(f408,plain,
( r1_rlvect_1(sK1,sK2)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f406,f131]) ).
fof(f409,plain,
( r1_rlvect_1(sK1,sK3)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f407,f131]) ).
fof(f410,plain,
( r1_rlvect_1(sK1,sK2)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f408,f130]) ).
fof(f411,plain,
( r1_rlvect_1(sK1,sK3)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f409,f130]) ).
fof(f412,plain,
( r1_rlvect_1(sK1,sK2)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f410,f129]) ).
fof(f413,plain,
( r1_rlvect_1(sK1,sK3)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f411,f129]) ).
fof(f414,plain,
r1_rlvect_1(sK1,sK2),
inference(forward_subsumption_resolution,[],[f412,f128]) ).
fof(f415,plain,
r1_rlvect_1(sK1,sK3),
inference(forward_subsumption_resolution,[],[f413,f128]) ).
fof(f420,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,[],[f196,f138]) ).
fof(f422,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,[],[f420,f133]) ).
fof(f423,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,[],[f422,f132]) ).
fof(f424,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,[],[f423,f131]) ).
fof(f425,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,[],[f424,f130]) ).
fof(f426,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,[],[f425,f129]) ).
fof(f427,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f426,f128]) ).
fof(f429,definition,
( spl18_12
<=> m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl18_12])],[avatar_definition]) ).
fof(f431,plain,
( ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| spl18_12 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f433,definition,
( spl18_13
<=> r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl18_13])],[avatar_definition]) ).
fof(f435,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| spl18_13 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f436,plain,
( ~ spl18_12
| ~ spl18_13 ),
inference(avatar_split_clause,[],[f427,f433,f429]) ).
fof(f437,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| spl18_12 ),
inference(resolution,[],[f431,f152]) ).
fof(f438,plain,
( ~ l1_group_1(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| spl18_12 ),
inference(forward_subsumption_resolution,[],[f437,f131]) ).
fof(f439,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| spl18_12 ),
inference(forward_subsumption_resolution,[],[f438,f128]) ).
fof(f440,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| spl18_12 ),
inference(forward_subsumption_resolution,[],[f439,f134]) ).
fof(f441,plain,
( $false
| spl18_12 ),
inference(forward_subsumption_resolution,[],[f440,f135]) ).
fof(f442,plain,
spl18_12,
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f443,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)
| spl18_13 ),
inference(resolution,[],[f435,f201]) ).
fof(f444,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)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f443,f414]) ).
fof(f445,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)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f444,f415]) ).
fof(f446,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)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f445,f132]) ).
fof(f447,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)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f446,f135]) ).
fof(f448,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f447,f134]) ).
fof(f449,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f448,f131]) ).
fof(f450,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f449,f130]) ).
fof(f451,plain,
( ~ l1_group_1(sK0)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f450,f129]) ).
fof(f452,plain,
( $false
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f451,f128]) ).
fof(f453,plain,
spl18_13,
inference(avatar_contradiction_clause,[],[f452]) ).
cnf(s13,plain,
( ~ spl18_12
| ~ spl18_13 ),
inference(sat_conversion,[],[f436]) ).
cnf(s14,plain,
spl18_12,
inference(sat_conversion,[],[f442]) ).
cnf(s15,plain,
spl18_13,
inference(sat_conversion,[],[f453]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s13,s15,s14]) ).
fof(f454,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:22:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.45 % (3300598)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (3300604)% WARNING: option uhcvi not known.
% 0.09/0.45 % (3300604)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3399710985:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % (3300603)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=472518285_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (3300609)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2245375107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (3300606)dis+10_1_sil=32000:sp=arity:random_seed=2212699851:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (3300605)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2467913461:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (3300607)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1734385053:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (3300608)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1532644682:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % TRYING [1]
% 0.09/0.45 % TRYING [2]
% 0.09/0.45 % TRYING [3]
% 0.09/0.45 % (3300606) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3300598-3300606"...
% 0.09/0.45 % (3300606)...printing done.
% 0.09/0.45 % TRYING [4]
% 0.09/0.45 % (3300606)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Theorem for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (3300606)------------------------------
% 0.09/0.45 % (3300606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (3300606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (3300606)CaDiCaL version: 2.1.3
% 0.09/0.45 % (3300606)Termination reason: Refutation
% 0.09/0.45 % (3300606)Time elapsed: 0.010 s
% 0.09/0.45 % (3300606)Peak memory usage: 12 MB
% 0.09/0.45 % (3300606)Instructions burned: 12 (million)
% 0.09/0.45 % (3300598)Success in time 0.043 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------