%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP618+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 : n006.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 7.52s 3.85s
% Output : Refutation 9.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 9
% Syntax : Number of formulae : 98 ( 10 unt; 5 def)
% Number of atoms : 566 ( 0 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 795 ( 327 ~; 355 |; 79 &)
% ( 7 <=>; 25 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 126 ( 0 sgn 106 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21862,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
fof(f33391,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/sandbox2/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f33392,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/sandbox2/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f33393,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/sandbox2/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f33394,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)],[f33393]) ).
fof(f33399,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,[],[f33394]) ).
fof(f33400,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,[],[f33399]) ).
fof(f33419,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21862]) ).
fof(f33420,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33419]) ).
fof(f33429,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,[],[f33392]) ).
fof(f33430,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,[],[f33429]) ).
fof(f33431,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,[],[f33391]) ).
fof(f33432,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,[],[f33431]) ).
fof(f33471,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,[],[f33400]) ).
fof(f33472,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,[],[f33471]) ).
fof(f33473,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,[],[f33472]) ).
fof(f33474,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)],[f33473]) ).
fof(f33482,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK12(X0,X1),sK11(X0,X1)))
& m1_subset_1(sK12(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK12(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK11(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,[sK11,sK12]),skolemize(X2,sK11(X0,X1)),skolemize(X3,sK12(X0,X1))],[f33432]) ).
fof(f33485,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f33474]) ).
fof(f33486,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f33474]) ).
fof(f33487,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f33474]) ).
fof(f33488,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f33474]) ).
fof(f33489,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f33474]) ).
fof(f33490,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f33474]) ).
fof(f33491,plain,
! [X4,X5] :
( v1_group_3(sK1,sK0)
| 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)) ),
inference(cnf_transformation,[],[f33474]) ).
fof(f33492,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f33474]) ).
fof(f33494,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f33474]) ).
fof(f33495,plain,
( ~ v1_group_3(sK1,sK0)
| ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
inference(cnf_transformation,[],[f33474]) ).
fof(f33516,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33420]) ).
fof(f33527,plain,
! [X2,X3,X0,X1] :
( ~ v4_group_1(X0)
| ~ 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)
| r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33430]) ).
fof(f33528,plain,
! [X0,X1] :
( m1_subset_1(sK11(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,[],[f33482]) ).
fof(f33529,plain,
! [X0,X1] :
( m1_subset_1(sK12(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,[],[f33482]) ).
fof(f33530,plain,
! [X0,X1] :
( m1_subset_1(sK12(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,[],[f33482]) ).
fof(f33531,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| ~ r1_rlvect_1(X1,k2_group_3(X0,sK12(X0,X1),sK11(X0,X1)))
| ~ 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,[],[f33482]) ).
fof(f33563,definition,
( spl15_1
<=> ! [X4,X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X4,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f33564,plain,
( ! [X4,X5] :
( ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X4,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4)) )
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f33563]) ).
fof(f33566,definition,
( spl15_2
<=> v1_group_3(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f33567,plain,
( ~ v1_group_3(sK1,sK0)
| spl15_2 ),
inference(avatar_component_clause,[],[f33566]) ).
fof(f33568,plain,
( v1_group_3(sK1,sK0)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f33566]) ).
fof(f33569,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f33491,f33566,f33563]) ).
fof(f33571,definition,
( spl15_3
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f33573,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f33571]) ).
fof(f33574,plain,
( spl15_3
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f33492,f33566,f33571]) ).
fof(f33581,definition,
( spl15_5
<=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f33583,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f33581]) ).
fof(f33584,plain,
( spl15_5
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f33494,f33566,f33581]) ).
fof(f33586,definition,
( spl15_6
<=> r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f33588,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
| spl15_6 ),
inference(avatar_component_clause,[],[f33586]) ).
fof(f33589,plain,
( ~ spl15_6
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f33495,f33566,f33586]) ).
fof(f34019,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v1_group_3(X1,sK0)
| ~ m1_group_2(X1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(X1,k2_group_3(sK0,X0,X2))
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f33527,f33486]) ).
fof(f34024,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v1_group_3(X1,sK0)
| ~ m1_group_2(X1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(X1,k2_group_3(sK0,X0,X2))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f34019,f33516]) ).
fof(f34028,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v1_group_3(X1,sK0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(X1,k2_group_3(sK0,X0,X2))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f34024,f33489]) ).
fof(f34032,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v1_group_3(X1,sK0)
| ~ m1_group_2(X1,sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(X1,k2_group_3(sK0,X0,X2))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f34028,f33488]) ).
fof(f34036,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v1_group_3(X1,sK0)
| ~ m1_group_2(X1,sK0)
| r1_rlvect_1(X1,k2_group_3(sK0,X0,X2))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f34032,f33487]) ).
fof(f34046,plain,
! [X2,X0,X1] :
( ~ v1_group_3(X1,sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK0)
| r1_rlvect_1(X1,k2_group_3(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f34036,f33485]) ).
fof(f34216,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),sK11(sK0,sK1)))
| ~ 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)
| spl15_2 ),
inference(resolution,[],[f33567,f33531]) ).
fof(f34218,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),sK11(sK0,sK1)))
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34216,f33490]) ).
fof(f34219,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),sK11(sK0,sK1)))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34218,f33489]) ).
fof(f34220,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),sK11(sK0,sK1)))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34219,f33488]) ).
fof(f34221,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),sK11(sK0,sK1)))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34220,f33487]) ).
fof(f34222,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),sK11(sK0,sK1)))
| ~ l1_group_1(sK0)
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34221,f33486]) ).
fof(f34223,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),sK11(sK0,sK1)))
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34222,f33485]) ).
fof(f34236,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK12(X1,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(X1,sK1),X0))
| v1_group_3(sK1,X1)
| ~ m1_group_2(sK1,X1)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| ~ spl15_1 ),
inference(resolution,[],[f33564,f33530]) ).
fof(f34595,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| 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_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl15_1 ),
inference(resolution,[],[f34236,f33529]) ).
fof(f34597,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| 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) )
| ~ spl15_1 ),
inference(duplicate_literal_removal,[],[f34595]) ).
fof(f34599,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| ~ 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) )
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34597,f33567]) ).
fof(f34601,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34599,f33490]) ).
fof(f34603,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34601,f33489]) ).
fof(f34604,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34603,f33488]) ).
fof(f34605,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34604,f33487]) ).
fof(f34606,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| ~ l1_group_1(sK0) )
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34605,f33486]) ).
fof(f34607,plain,
( ! [X0] :
( r1_rlvect_1(sK1,k2_group_3(sK0,sK12(sK0,sK1),X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34606,f33485]) ).
fof(f34608,plain,
( ~ m1_subset_1(sK11(sK0,sK1),u1_struct_0(sK0))
| ~ spl15_1
| spl15_2 ),
inference(resolution,[],[f34607,f34223]) ).
fof(f34654,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)
| ~ spl15_1
| spl15_2 ),
inference(resolution,[],[f34608,f33528]) ).
fof(f34657,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)
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34654,f33567]) ).
fof(f34659,plain,
( v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34657,f33490]) ).
fof(f34661,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34659,f33489]) ).
fof(f34662,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34661,f33488]) ).
fof(f34663,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34662,f33487]) ).
fof(f34664,plain,
( ~ l1_group_1(sK0)
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34663,f33486]) ).
fof(f34665,plain,
( $false
| ~ spl15_1
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f34664,f33485]) ).
fof(f34666,plain,
( ~ spl15_1
| spl15_2 ),
inference(avatar_contradiction_clause,[],[f34665]) ).
fof(f34667,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_group_2(sK1,sK0)
| r1_rlvect_1(sK1,k2_group_3(sK0,X1,X0)) )
| ~ spl15_2 ),
inference(resolution,[],[f33568,f34046]) ).
fof(f34668,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_rlvect_1(sK1,k2_group_3(sK0,X1,X0)) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f34667,f33490]) ).
fof(f34802,plain,
( ! [X0] :
( r1_rlvect_1(sK1,k2_group_3(sK0,sK3,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl15_2
| ~ spl15_5 ),
inference(resolution,[],[f34668,f33583]) ).
fof(f34833,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl15_2
| ~ spl15_5
| spl15_6 ),
inference(resolution,[],[f34802,f33588]) ).
fof(f34848,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6 ),
inference(forward_subsumption_resolution,[],[f34833,f33573]) ).
fof(f34849,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6 ),
inference(avatar_contradiction_clause,[],[f34848]) ).
cnf(s1,plain,
( spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f33569]) ).
cnf(s2,plain,
( ~ spl15_2
| spl15_3 ),
inference(sat_conversion,[],[f33574]) ).
cnf(s4,plain,
( ~ spl15_2
| spl15_5 ),
inference(sat_conversion,[],[f33584]) ).
cnf(s5,plain,
( ~ spl15_2
| ~ spl15_6 ),
inference(sat_conversion,[],[f33589]) ).
cnf(s32,plain,
( ~ spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f34666]) ).
cnf(s33,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6 ),
inference(sat_conversion,[],[f34849]) ).
cnf(s41,plain,
~ spl15_2,
inference(rat,[],[s33,s2,s4,s5]) ).
cnf(s42,plain,
~ spl15_1,
inference(rat,[],[s32,s41]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s1,s41,s42]) ).
fof(f34861,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP618+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:09:08 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 7.52/3.85 % (2762953)Detected formulas, will run a generic FOF schedule.
% 7.52/3.85 % (2762962)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1798436020:i=119:av=off:ss=axioms_2979 on theBenchmark for (2979ds/119Mi)
% 7.52/3.85 % (2762960)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=147519609:i=141695:sd=1:nm=32:gsp=on:ss=included_2979 on theBenchmark for (2979ds/141695Mi)
% 7.52/3.85 % (2762958)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=3838053984:i=141193_2979 on theBenchmark for (2979ds/141193Mi)
% 7.52/3.85 % (2762959)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=1692839248:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2979 on theBenchmark for (2979ds/134677Mi)
% 7.52/3.85 % (2762961)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3172335810:i=109:sd=1:ins=1:gsp=on:ss=axioms_2979 on theBenchmark for (2979ds/109Mi)
% 7.52/3.85 % (2762962)Instruction limit reached!
% 7.52/3.85 % (2762962)------------------------------
% 7.52/3.85 % (2762962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762962)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762962)Termination reason: Instruction limit
% 7.52/3.85 % (2762962)Termination phase: SInE selection
% 7.52/3.85 % (2762962)Time elapsed: 0.053 s
% 7.52/3.85 % (2762962)Peak memory usage: 133 MB
% 7.52/3.85 % (2762962)Instructions burned: 120 (million)
% 7.52/3.85 % (2762963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=223334679:s2a=on:i=139:gtg=position_2979 on theBenchmark for (2979ds/139Mi)
% 7.52/3.85 % (2762964)dis-21_1_sil=8000:lcm=predicate:random_seed=2851530307:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2979 on theBenchmark for (2979ds/129Mi)
% 7.52/3.85 % (2762963)Instruction limit reached!
% 7.52/3.85 % (2762963)------------------------------
% 7.52/3.85 % (2762963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762963)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762963)Termination reason: Instruction limit
% 7.52/3.85 % (2762963)Termination phase: Property scanning
% 7.52/3.85 % (2762963)Time elapsed: 0.063 s
% 7.52/3.85 % (2762963)Peak memory usage: 133 MB
% 7.52/3.85 % (2762963)Instructions burned: 140 (million)
% 7.52/3.85 % (2762961)Instruction limit reached!
% 7.52/3.85 % (2762961)------------------------------
% 7.52/3.85 % (2762961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762961)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762961)Termination reason: Instruction limit
% 7.52/3.85 % (2762961)Termination phase: SInE selection
% 7.52/3.85 % (2762961)Time elapsed: 0.086 s
% 7.52/3.85 % (2762961)Peak memory usage: 133 MB
% 7.52/3.85 % (2762961)Instructions burned: 110 (million)
% 7.52/3.85 % (2762972)lrs+10_1_sil=8000:sp=occurrence:random_seed=533291881:i=285:sd=3:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/285Mi)
% 7.52/3.85 % (2762964)Instruction limit reached!
% 7.52/3.85 % (2762964)------------------------------
% 7.52/3.85 % (2762964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762964)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762964)Termination reason: Instruction limit
% 7.52/3.85 % (2762964)Termination phase: SInE selection
% 7.52/3.85 % (2762964)Time elapsed: 0.097 s
% 7.52/3.85 % (2762964)Peak memory usage: 133 MB
% 7.52/3.85 % (2762964)Instructions burned: 130 (million)
% 7.52/3.85 % (2762973)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1987686666:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 7.52/3.85 % (2762972)Instruction limit reached!
% 7.52/3.85 % (2762972)------------------------------
% 7.52/3.85 % (2762972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762972)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762972)Termination reason: Instruction limit
% 7.52/3.85 % (2762972)Termination phase: Saturation
% 7.52/3.85 % (2762972)Time elapsed: 0.127 s
% 7.52/3.85 % (2762972)Peak memory usage: 138 MB
% 7.52/3.85 % (2762972)Instructions burned: 289 (million)
% 7.52/3.85 % (2762974)lrs+1011_1_sil=32000:sp=occurrence:random_seed=849609019:i=325:sd=1:ss=axioms:sgt=32_2976 on theBenchmark for (2976ds/325Mi)
% 7.52/3.85 % (2762976)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=3277662502:s2a=on:i=248:s2at=1.23:gtg=position_2976 on theBenchmark for (2976ds/248Mi)
% 7.52/3.85 % (2762973)Instruction limit reached!
% 7.52/3.85 % (2762973)------------------------------
% 7.52/3.85 % (2762973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762973)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762973)Termination reason: Instruction limit
% 7.52/3.85 % (2762973)Termination phase: Property scanning
% 7.52/3.85 % (2762973)Time elapsed: 0.069 s
% 7.52/3.85 % (2762973)Peak memory usage: 133 MB
% 7.52/3.85 % (2762973)Instructions burned: 159 (million)
% 7.52/3.85 % (2762978)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=695052387:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2975 on theBenchmark for (2975ds/294Mi)
% 7.52/3.85 % (2762976)Instruction limit reached!
% 7.52/3.85 % (2762976)------------------------------
% 7.52/3.85 % (2762976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762976)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762976)Termination reason: Instruction limit
% 7.52/3.85 % (2762976)Termination phase: Property scanning
% 7.52/3.85 % (2762976)Time elapsed: 0.108 s
% 7.52/3.85 % (2762976)Peak memory usage: 133 MB
% 7.52/3.85 % (2762976)Instructions burned: 250 (million)
% 7.52/3.85 % (2762981)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1525211447:i=2350_2974 on theBenchmark for (2974ds/2350Mi)
% 7.52/3.85 % (2762978)Instruction limit reached!
% 7.52/3.85 % (2762978)------------------------------
% 7.52/3.85 % (2762978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762978)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762978)Termination reason: Instruction limit
% 7.52/3.85 % (2762978)Termination phase: SInE selection
% 7.52/3.85 % (2762978)Time elapsed: 0.104 s
% 7.52/3.85 % (2762978)Peak memory usage: 134 MB
% 7.52/3.85 % (2762978)Instructions burned: 296 (million)
% 7.52/3.85 % (2762974)First to succeed.
% 7.52/3.85 % (2762974)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2762953"
% 7.52/3.85 % (2762983)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=511017531:cts=off:i=113:fsr=off:ss=included:sgt=4_2974 on theBenchmark for (2974ds/113Mi)
% 7.52/3.85 % (2762985)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=906579697:i=127:av=off:fsr=off:sup=off_2973 on theBenchmark for (2973ds/127Mi)
% 7.52/3.85 % (2762985)Instruction limit reached!
% 7.52/3.85 % (2762985)------------------------------
% 7.52/3.85 % (2762985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762985)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762985)Termination reason: Instruction limit
% 7.52/3.85 % (2762985)Termination phase: Preprocessing 1
% 7.52/3.85 % (2762985)Time elapsed: 0.057 s
% 7.52/3.85 % (2762985)Peak memory usage: 136 MB
% 7.52/3.85 % (2762985)Instructions burned: 129 (million)
% 7.52/3.85 % (2762983)Instruction limit reached!
% 7.52/3.85 % (2762983)------------------------------
% 7.52/3.85 % (2762983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762983)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762983)Termination reason: Instruction limit
% 7.52/3.85 % (2762983)Termination phase: SInE selection
% 7.52/3.85 % (2762983)Time elapsed: 0.090 s
% 7.52/3.85 % (2762983)Peak memory usage: 133 MB
% 7.52/3.85 % (2762983)Instructions burned: 114 (million)
% 7.52/3.85 % (2762988)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3408795520:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 7.52/3.85 % (2762988)Instruction limit reached!
% 7.52/3.85 % (2762988)------------------------------
% 7.52/3.85 % (2762988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/3.85 % (2762988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.85 % (2762988)CaDiCaL version: 2.1.3
% 7.52/3.85 % (2762988)Termination reason: Instruction limit
% 7.52/3.85 % (2762988)Termination phase: Property scanning
% 7.52/3.85 % (2762988)Time elapsed: 0.029 s
% 7.52/3.85 % (2762988)Peak memory usage: 133 MB
% 7.52/3.85 % (2762988)Instructions burned: 119 (million)
% 7.52/3.85 % (2762989)lrs+10_1_sil=8000:sp=occurrence:random_seed=1370293057:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 7.52/3.85 % (2762974)Refutation found. Thanks to Tanya!
% 7.52/3.85 % SZS status Theorem for theBenchmark
% 7.52/3.85 % SZS output start Proof for theBenchmark
% See solution above
% 9.20/4.10 % (2762974)------------------------------
% 9.20/4.10 % (2762974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/4.10 % (2762974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/4.10 % (2762974)CaDiCaL version: 2.1.3
% 9.20/4.10 % (2762974)Termination reason: Refutation
% 9.20/4.10 % (2762974)Time elapsed: 0.233 s
% 9.20/4.10 % (2762974)Peak memory usage: 140 MB
% 9.20/4.10 % (2762974)Instructions burned: 305 (million)
% 9.20/4.10 % (2762974)------------------------------
% 9.20/4.10 % (2762974)------------------------------
% 9.20/4.10 % (2762953)Success in time 2.999 s
% 9.20/4.10 % Vampire exiting
%------------------------------------------------------------------------------