%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP618+1 : 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 : n003.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 10:15:00 AM UTC 2026
% Result : Theorem 3.70s 1.61s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 61 ( 9 unt; 0 def)
% Number of atoms : 429 ( 0 equ)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 626 ( 258 ~; 265 |; 77 &)
% ( 2 <=>; 22 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 76 ( 56 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f61,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f62,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v1_group_3(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f67]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f79]) ).
fof(f87,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
( ( ~ v1_group_3(sK1,sK0)
| ( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0)) ) )
& ( v1_group_3(sK1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v1_group_1(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)],[f89]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK10(X0,X1),sK9(X0,X1)))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK9(X0,X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X2,sK9(X0,X1)),skolemize(X3,sK10(X0,X1))],[f80]) ).
fof(f100,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f101,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f102,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f103,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f104,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f105,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f106,plain,
! [X4,X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| v1_group_3(sK1,sK0)
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f107,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f108,plain,
( m1_subset_1(sK3,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f109,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ v1_group_3(sK1,sK0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f110,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
| ~ v1_group_3(sK1,sK0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f125,plain,
! [X0,X1] :
( m1_subset_1(sK9(X0,X1),u1_struct_0(X0))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f126,plain,
! [X0,X1] :
( m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f127,plain,
! [X0,X1] :
( m1_subset_1(sK10(X0,X1),u1_struct_0(X1))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f128,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,sK10(X0,X1),sK9(X0,X1)))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f188,plain,
( v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(resolution,[],[f128,f106]) ).
fof(f189,plain,
( v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(duplicate_literal_removal,[],[f188]) ).
fof(f190,plain,
( v1_group_3(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f189,f105]) ).
fof(f191,plain,
( v1_group_3(sK1,sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f190,f104]) ).
fof(f192,plain,
( v1_group_3(sK1,sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f191,f103]) ).
fof(f193,plain,
( v1_group_3(sK1,sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f192,f102]) ).
fof(f194,plain,
( v1_group_3(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f193,f101]) ).
fof(f195,plain,
( ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f194,f100]) ).
fof(f196,plain,
( v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f195,f127]) ).
fof(f197,plain,
( v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f198,plain,
( v1_group_3(sK1,sK0)
| ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f197,f126]) ).
fof(f199,plain,
( v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f198,f125]) ).
fof(f200,plain,
( v1_group_3(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f199,f105]) ).
fof(f201,plain,
( v1_group_3(sK1,sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f200,f104]) ).
fof(f202,plain,
( v1_group_3(sK1,sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f201,f103]) ).
fof(f203,plain,
( v1_group_3(sK1,sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f202,f102]) ).
fof(f204,plain,
( v1_group_3(sK1,sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f203,f101]) ).
fof(f205,plain,
v1_group_3(sK1,sK0),
inference(forward_subsumption_resolution,[],[f204,f100]) ).
fof(f206,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_3(sK1,sK0) ),
inference(resolution,[],[f124,f110]) ).
fof(f209,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f210,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f209,f109]) ).
fof(f211,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f210,f108]) ).
fof(f212,plain,
( ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f211,f107]) ).
fof(f213,plain,
( ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f212,f205]) ).
fof(f214,plain,
( v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f213,f105]) ).
fof(f215,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f214,f104]) ).
fof(f216,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f215,f103]) ).
fof(f217,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f216,f102]) ).
fof(f218,plain,
~ l1_group_1(sK0),
inference(forward_subsumption_resolution,[],[f217,f101]) ).
fof(f219,plain,
$false,
inference(forward_subsumption_resolution,[],[f218,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 % Computer : n003.cluster.edu
% 0.21/0.49 % Model : x86_64 x86_64
% 0.21/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.49 % Memory : 8046.5625MB
% 0.21/0.49 % OS : Linux 6.8.0-71-generic
% 0.21/0.49 % CPULimit : 300
% 0.21/0.49 % WCLimit : 300
% 0.21/0.49 % DateTime : Sun Sep 27 10:11:10 UTC 2026
% 0.21/0.50 % CPUTime :
% 0.21/0.50 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 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
% 3.70/1.61 % (281536)Detected formulas, will run a generic FOF schedule.
% 3.70/1.61 % (281542)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=3088174604:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.70/1.61 % (281545)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=75147369:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.70/1.61 % (281547)dis-21_1_sil=8000:lcm=predicate:random_seed=342891115:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.70/1.61 % (281544)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=11833092:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.70/1.61 % (281545)First to succeed.
% 3.70/1.61 % (281545)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-281536"
% 3.70/1.61 % (281544)Also succeeded, but the first one will report.
% 3.70/1.61 % (281541)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=2321432536:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.70/1.61 % (281543)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=4234692936:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.70/1.61 % (281546)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3855583361:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.70/1.61 % (281546)Also succeeded, but the first one will report.
% 3.70/1.61 % (281547)Instruction limit reached!
% 3.70/1.61 % (281547)------------------------------
% 3.70/1.61 % (281547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.61 % (281547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.61 % (281547)CaDiCaL version: 2.1.3
% 3.70/1.61 % (281547)Termination reason: Instruction limit
% 3.70/1.61 % (281547)Termination phase: Saturation
% 3.70/1.61 % (281547)Time elapsed: 0.124 s
% 3.70/1.61 % (281547)Peak memory usage: 91 MB
% 3.70/1.61 % (281547)Instructions burned: 129 (million)
% 3.70/1.61 % (281545)Refutation found. Thanks to Tanya!
% 3.70/1.61 % SZS status Theorem for theBenchmark
% 3.70/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.81 % (281545)------------------------------
% 5.50/1.81 % (281545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.81 % (281545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.81 % (281545)CaDiCaL version: 2.1.3
% 5.50/1.81 % (281545)Termination reason: Refutation
% 5.50/1.81 % (281545)Time elapsed: 0.008 s
% 5.50/1.81 % (281545)Peak memory usage: 88 MB
% 5.50/1.81 % (281545)Instructions burned: 6 (million)
% 5.50/1.81 % (281545)------------------------------
% 5.50/1.81 % (281545)------------------------------
% 5.50/1.81 % (281536)Success in time 0.742 s
% 5.50/1.81 % Vampire exiting
%------------------------------------------------------------------------------