%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP643+2 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:14 AM UTC 2026
% Result : Theorem 5.04s 1.75s
% Output : Refutation 7.07s
% 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(f3811,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(f4403,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(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/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f5660,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(f5661,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)],[f5660]) ).
fof(f5732,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,[],[f5661]) ).
fof(f5733,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,[],[f5732]) ).
fof(f5912,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,[],[f4403]) ).
fof(f5913,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,[],[f5912]) ).
fof(f5972,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,[],[f3811]) ).
fof(f5973,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,[],[f5972]) ).
fof(f6044,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(f6045,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,[],[f6044]) ).
fof(f8015,plain,
( ~ r2_hidden(k1_group_1(sK26,sK28,sK29),k1_funct_1(k1_latsubgr(sK26),sK27))
& r2_hidden(sK28,k1_funct_1(k1_latsubgr(sK26),sK27))
& r2_hidden(sK29,k1_funct_1(k1_latsubgr(sK26),sK27))
& m1_subset_1(sK29,u1_struct_0(sK26))
& m1_subset_1(sK28,u1_struct_0(sK26))
& v1_group_1(sK27)
& m1_group_2(sK27,sK26)
& ~ v3_struct_0(sK26)
& v3_group_1(sK26)
& v4_group_1(sK26)
& l1_group_1(sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29]),skolemize(X0,sK26),skolemize(X1,sK27),skolemize(X2,sK28),skolemize(X3,sK29)],[f5733]) ).
fof(f8183,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,[],[f6045]) ).
fof(f8740,plain,
l1_group_1(sK26),
inference(cnf_transformation,[],[f8015]) ).
fof(f8741,plain,
v4_group_1(sK26),
inference(cnf_transformation,[],[f8015]) ).
fof(f8742,plain,
v3_group_1(sK26),
inference(cnf_transformation,[],[f8015]) ).
fof(f8743,plain,
~ v3_struct_0(sK26),
inference(cnf_transformation,[],[f8015]) ).
fof(f8744,plain,
m1_group_2(sK27,sK26),
inference(cnf_transformation,[],[f8015]) ).
fof(f8745,plain,
v1_group_1(sK27),
inference(cnf_transformation,[],[f8015]) ).
fof(f8746,plain,
m1_subset_1(sK28,u1_struct_0(sK26)),
inference(cnf_transformation,[],[f8015]) ).
fof(f8747,plain,
m1_subset_1(sK29,u1_struct_0(sK26)),
inference(cnf_transformation,[],[f8015]) ).
fof(f8748,plain,
r2_hidden(sK29,k1_funct_1(k1_latsubgr(sK26),sK27)),
inference(cnf_transformation,[],[f8015]) ).
fof(f8749,plain,
r2_hidden(sK28,k1_funct_1(k1_latsubgr(sK26),sK27)),
inference(cnf_transformation,[],[f8015]) ).
fof(f8750,plain,
~ r2_hidden(k1_group_1(sK26,sK28,sK29),k1_funct_1(k1_latsubgr(sK26),sK27)),
inference(cnf_transformation,[],[f8015]) ).
fof(f8997,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,[],[f5913]) ).
fof(f9087,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,[],[f5973]) ).
fof(f9180,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,[],[f8183]) ).
fof(f9181,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,[],[f8183]) ).
fof(f12388,plain,
( r1_rlvect_1(sK27,sK29)
| ~ m1_subset_1(sK29,u1_struct_0(sK26))
| ~ v1_group_1(sK27)
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(resolution,[],[f8748,f9180]) ).
fof(f12399,plain,
( r1_rlvect_1(sK27,sK29)
| ~ v1_group_1(sK27)
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12388,f8747]) ).
fof(f12414,plain,
( r1_rlvect_1(sK27,sK29)
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12399,f8745]) ).
fof(f12415,plain,
( r1_rlvect_1(sK27,sK29)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12414,f8744]) ).
fof(f12416,plain,
( r1_rlvect_1(sK27,sK29)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12415,f8743]) ).
fof(f12417,plain,
( r1_rlvect_1(sK27,sK29)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12416,f8742]) ).
fof(f12418,plain,
( r1_rlvect_1(sK27,sK29)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12417,f8741]) ).
fof(f12419,plain,
r1_rlvect_1(sK27,sK29),
inference(forward_subsumption_resolution,[],[f12418,f8740]) ).
fof(f12420,plain,
( r1_rlvect_1(sK27,sK28)
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ v1_group_1(sK27)
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(resolution,[],[f8749,f9180]) ).
fof(f12429,plain,
( r1_rlvect_1(sK27,sK28)
| ~ v1_group_1(sK27)
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12420,f8746]) ).
fof(f12430,plain,
( r1_rlvect_1(sK27,sK28)
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12429,f8745]) ).
fof(f12431,plain,
( r1_rlvect_1(sK27,sK28)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12430,f8744]) ).
fof(f12432,plain,
( r1_rlvect_1(sK27,sK28)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12431,f8743]) ).
fof(f12433,plain,
( r1_rlvect_1(sK27,sK28)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12432,f8742]) ).
fof(f12434,plain,
( r1_rlvect_1(sK27,sK28)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12433,f8741]) ).
fof(f12435,plain,
r1_rlvect_1(sK27,sK28),
inference(forward_subsumption_resolution,[],[f12434,f8740]) ).
fof(f12436,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26))
| ~ v1_group_1(sK27)
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(resolution,[],[f8750,f9181]) ).
fof(f12443,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26))
| ~ m1_group_2(sK27,sK26)
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12436,f8745]) ).
fof(f12446,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26))
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12443,f8744]) ).
fof(f12449,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26))
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12446,f8743]) ).
fof(f12452,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26))
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12449,f8742]) ).
fof(f12454,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26))
| ~ l1_group_1(sK26) ),
inference(forward_subsumption_resolution,[],[f12452,f8741]) ).
fof(f12455,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26)) ),
inference(forward_subsumption_resolution,[],[f12454,f8740]) ).
fof(f12457,definition,
( spl440_10
<=> m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26)) ),
introduced(definition,[new_symbols(definition,[spl440_10])],[avatar_definition]) ).
fof(f12459,plain,
( ~ m1_subset_1(k1_group_1(sK26,sK28,sK29),u1_struct_0(sK26))
| spl440_10 ),
inference(avatar_component_clause,[],[f12457]) ).
fof(f12461,definition,
( spl440_11
<=> r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29)) ),
introduced(definition,[new_symbols(definition,[spl440_11])],[avatar_definition]) ).
fof(f12463,plain,
( ~ r1_rlvect_1(sK27,k1_group_1(sK26,sK28,sK29))
| spl440_11 ),
inference(avatar_component_clause,[],[f12461]) ).
fof(f12464,plain,
( ~ spl440_10
| ~ spl440_11 ),
inference(avatar_split_clause,[],[f12455,f12461,f12457]) ).
fof(f12544,plain,
( ~ r1_rlvect_1(sK27,sK28)
| ~ r1_rlvect_1(sK27,sK29)
| ~ m1_group_2(sK27,sK26)
| ~ m1_subset_1(sK29,u1_struct_0(sK26))
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(resolution,[],[f12463,f8997]) ).
fof(f12549,plain,
( ~ r1_rlvect_1(sK27,sK29)
| ~ m1_group_2(sK27,sK26)
| ~ m1_subset_1(sK29,u1_struct_0(sK26))
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12544,f12435]) ).
fof(f12552,plain,
( ~ m1_group_2(sK27,sK26)
| ~ m1_subset_1(sK29,u1_struct_0(sK26))
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12549,f12419]) ).
fof(f12555,plain,
( ~ m1_subset_1(sK29,u1_struct_0(sK26))
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12552,f8744]) ).
fof(f12558,plain,
( ~ m1_subset_1(sK28,u1_struct_0(sK26))
| v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12555,f8747]) ).
fof(f12560,plain,
( v3_struct_0(sK26)
| ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12558,f8746]) ).
fof(f12561,plain,
( ~ v3_group_1(sK26)
| ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12560,f8743]) ).
fof(f12562,plain,
( ~ v4_group_1(sK26)
| ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12561,f8742]) ).
fof(f12563,plain,
( ~ l1_group_1(sK26)
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12562,f8741]) ).
fof(f12564,plain,
( $false
| spl440_11 ),
inference(forward_subsumption_resolution,[],[f12563,f8740]) ).
fof(f12565,plain,
spl440_11,
inference(avatar_contradiction_clause,[],[f12564]) ).
fof(f12577,plain,
( v3_struct_0(sK26)
| ~ l1_group_1(sK26)
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ m1_subset_1(sK29,u1_struct_0(sK26))
| spl440_10 ),
inference(resolution,[],[f12459,f9087]) ).
fof(f12587,plain,
( ~ l1_group_1(sK26)
| ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ m1_subset_1(sK29,u1_struct_0(sK26))
| spl440_10 ),
inference(forward_subsumption_resolution,[],[f12577,f8743]) ).
fof(f12591,plain,
( ~ m1_subset_1(sK28,u1_struct_0(sK26))
| ~ m1_subset_1(sK29,u1_struct_0(sK26))
| spl440_10 ),
inference(forward_subsumption_resolution,[],[f12587,f8740]) ).
fof(f12595,plain,
( ~ m1_subset_1(sK29,u1_struct_0(sK26))
| spl440_10 ),
inference(forward_subsumption_resolution,[],[f12591,f8746]) ).
fof(f12598,plain,
( $false
| spl440_10 ),
inference(forward_subsumption_resolution,[],[f12595,f8747]) ).
fof(f12599,plain,
spl440_10,
inference(avatar_contradiction_clause,[],[f12598]) ).
cnf(s10,plain,
( ~ spl440_10
| ~ spl440_11 ),
inference(sat_conversion,[],[f12464]) ).
cnf(s17,plain,
spl440_11,
inference(sat_conversion,[],[f12565]) ).
cnf(s18,plain,
spl440_10,
inference(sat_conversion,[],[f12599]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s10,s17,s18]) ).
fof(f12601,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP643+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n026.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 10:25:58 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 5.04/1.75 % (2620833)Detected formulas, will run a generic FOF schedule.
% 5.04/1.75 % (2620840)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=2121701192:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 5.04/1.75 % (2620838)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=2843674835:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 5.04/1.75 % (2620841)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1163452642:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 5.04/1.75 % (2620843)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=84601586:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 5.04/1.75 % (2620839)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=943937114:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 5.04/1.75 % (2620842)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3649209438:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 5.04/1.75 % (2620844)dis-21_1_sil=8000:lcm=predicate:random_seed=1733014577: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)
% 5.04/1.75 % (2620841)Instruction limit reached!
% 5.04/1.75 % (2620841)------------------------------
% 5.04/1.75 % (2620841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.75 % (2620841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.75 % (2620841)CaDiCaL version: 2.1.3
% 5.04/1.75 % (2620841)Termination reason: Instruction limit
% 5.04/1.75 % (2620841)Termination phase: Saturation
% 5.04/1.75 % (2620841)Time elapsed: 0.109 s
% 5.04/1.75 % (2620841)Peak memory usage: 95 MB
% 5.04/1.75 % (2620841)Instructions burned: 110 (million)
% 5.04/1.75 % (2620842)Instruction limit reached!
% 5.04/1.75 % (2620842)------------------------------
% 5.04/1.75 % (2620842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.75 % (2620842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.75 % (2620842)CaDiCaL version: 2.1.3
% 5.04/1.75 % (2620842)Termination reason: Instruction limit
% 5.04/1.75 % (2620842)Termination phase: Saturation
% 5.04/1.75 % (2620842)Time elapsed: 0.130 s
% 5.04/1.75 % (2620842)Peak memory usage: 96 MB
% 5.04/1.75 % (2620842)Instructions burned: 119 (million)
% 5.04/1.75 % (2620843)Instruction limit reached!
% 5.04/1.75 % (2620843)------------------------------
% 5.04/1.75 % (2620843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.75 % (2620843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.75 % (2620843)CaDiCaL version: 2.1.3
% 5.04/1.75 % (2620843)Termination reason: Instruction limit
% 5.04/1.75 % (2620843)Termination phase: Unused predicate definition removal
% 5.04/1.75 % (2620843)Time elapsed: 0.142 s
% 5.04/1.75 % (2620843)Peak memory usage: 93 MB
% 5.04/1.75 % (2620843)Instructions burned: 139 (million)
% 5.04/1.75 % (2620844)Instruction limit reached!
% 5.04/1.75 % (2620844)------------------------------
% 5.04/1.75 % (2620844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.75 % (2620844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.75 % (2620844)CaDiCaL version: 2.1.3
% 5.04/1.75 % (2620844)Termination reason: Instruction limit
% 5.04/1.75 % (2620844)Termination phase: Preprocessing 3
% 5.04/1.75 % (2620844)Time elapsed: 0.149 s
% 5.04/1.75 % (2620844)Peak memory usage: 97 MB
% 5.04/1.75 % (2620844)Instructions burned: 129 (million)
% 5.04/1.75 % (2620855)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=1288478557:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 5.04/1.75 % (2620853)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2463757367:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.04/1.75 % (2620852)lrs+10_1_sil=8000:sp=occurrence:random_seed=2922727962:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 5.04/1.75 % (2620854)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1791233620:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.04/1.75 % (2620855)Instruction limit reached!
% 5.04/1.75 % (2620855)------------------------------
% 5.04/1.75 % (2620855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.75 % (2620855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.75 % (2620855)CaDiCaL version: 2.1.3
% 5.04/1.75 % (2620855)Termination reason: Instruction limit
% 5.04/1.75 % (2620855)Termination phase: Preprocessing 3
% 5.04/1.75 % (2620855)Time elapsed: 0.090 s
% 5.04/1.75 % (2620855)Peak memory usage: 100 MB
% 5.04/1.75 % (2620855)Instructions burned: 250 (million)
% 5.04/1.75 % (2620853)Instruction limit reached!
% 5.04/1.75 % (2620853)------------------------------
% 5.04/1.75 % (2620853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.75 % (2620853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.75 % (2620853)CaDiCaL version: 2.1.3
% 5.04/1.75 % (2620853)Termination reason: Instruction limit
% 5.04/1.75 % (2620853)Termination phase: Saturation
% 5.04/1.75 % (2620853)Time elapsed: 0.124 s
% 5.04/1.75 % (2620853)Peak memory usage: 95 MB
% 5.04/1.75 % (2620853)Instructions burned: 157 (million)
% 5.04/1.75 % (2620860)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3808275743:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 5.04/1.75 % (2620860)First to succeed.
% 5.04/1.75 % (2620860)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2620833"
% 5.04/1.75 % (2620852)Also succeeded, but the first one will report.
% 5.04/1.75 % (2620861)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1590827464:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 5.04/1.75 % (2620854)Instruction limit reached!
% 5.04/1.75 % (2620854)------------------------------
% 5.04/1.75 % (2620854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.75 % (2620854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.75 % (2620854)CaDiCaL version: 2.1.3
% 5.04/1.75 % (2620854)Termination reason: Instruction limit
% 5.04/1.75 % (2620854)Termination phase: Saturation
% 5.04/1.75 % (2620854)Time elapsed: 0.335 s
% 5.04/1.75 % (2620854)Peak memory usage: 98 MB
% 5.04/1.75 % (2620854)Instructions burned: 326 (million)
% 5.04/1.75 % (2620860)Refutation found. Thanks to Tanya!
% 5.04/1.75 % SZS status Theorem for theBenchmark
% 5.04/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 7.07/1.97 % (2620860)------------------------------
% 7.07/1.97 % (2620860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.07/1.97 % (2620860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.07/1.97 % (2620860)CaDiCaL version: 2.1.3
% 7.07/1.97 % (2620860)Termination reason: Refutation
% 7.07/1.97 % (2620860)Time elapsed: 0.089 s
% 7.07/1.97 % (2620860)Peak memory usage: 101 MB
% 7.07/1.97 % (2620860)Instructions burned: 255 (million)
% 7.07/1.97 % (2620860)------------------------------
% 7.07/1.97 % (2620860)------------------------------
% 7.07/1.97 % (2620833)Success in time 1.055 s
% 7.07/1.97 % Vampire exiting
%------------------------------------------------------------------------------