%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT288+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 : n007.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 11:46:33 AM UTC 2026
% Result : Theorem 14.42s 4.67s
% Output : Refutation 15.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 126 ( 28 unt; 12 def)
% Number of atoms : 650 ( 29 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 859 ( 335 ~; 420 |; 77 &)
% ( 20 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 89 ( 0 sgn 73 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f32098,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_lopclset) ).
fof(f32145,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lopclset) ).
fof(f32146,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_lopclset) ).
fof(f32147,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f32146]) ).
fof(f32218,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f32098]) ).
fof(f32219,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f32218]) ).
fof(f32304,plain,
! [X0,X1] :
( ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f32145]) ).
fof(f32305,plain,
! [X0,X1] :
( ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(flattening,[],[f32304]) ).
fof(f32306,plain,
? [X0] :
( ? [X1] :
( ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f32147]) ).
fof(f32307,plain,
? [X0] :
( ? [X1] :
( ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f32306]) ).
fof(f32767,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f32771,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ! [X3] :
( ~ m1_filter_0(X3,X1)
| X0 != X3
| ~ v1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3) ) )
& ( ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) )
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(nnf_transformation,[],[f32219]) ).
fof(f32772,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ! [X3] :
( ~ m1_filter_0(X3,X1)
| X0 != X3
| ~ v1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3) ) )
& ( ? [X4] :
( m1_filter_0(X4,X1)
& X0 = X4
& v1_filter_0(X4,X1)
& r2_hidden(X2,X4) )
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(rectify,[],[f32771]) ).
fof(f32773,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ! [X3] :
( ~ m1_filter_0(X3,X1)
| X0 != X3
| ~ v1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3) ) )
& ( ( m1_filter_0(sK1(X0,X1,X2),X1)
& sK1(X0,X1,X2) = X0
& v1_filter_0(sK1(X0,X1,X2),X1)
& r2_hidden(X2,sK1(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X0,X1,X2))],[f32772]) ).
fof(f32781,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k7_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) )
| ~ r2_hidden(X0,k7_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(nnf_transformation,[],[f32305]) ).
fof(f32782,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k7_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1) )
| ~ r2_hidden(X0,k7_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(rectify,[],[f32781]) ).
fof(f32783,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k7_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ( m1_filter_0(sK7(X0,X1),X1)
& sK7(X0,X1) = X0
& v1_filter_0(sK7(X0,X1),X1) )
| ~ r2_hidden(X0,k7_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1))],[f32782]) ).
fof(f32784,plain,
( ~ r1_tarski(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8))
& m1_subset_1(sK9,u1_struct_0(sK8))
& ~ v3_struct_0(sK8)
& v10_lattices(sK8)
& v17_lattices(sK8)
& ~ v3_realset2(sK8)
& l3_lattices(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f32307]) ).
fof(f32976,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f32767]) ).
fof(f32977,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f32976]) ).
fof(f32978,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK120(X0,X1),X1)
& r2_hidden(sK120(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120]),skolemize(X2,sK120(X0,X1))],[f32977]) ).
fof(f32984,plain,
! [X2,X0,X1] :
( v1_filter_0(sK1(X0,X1,X2),X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f32773]) ).
fof(f32985,plain,
! [X2,X0,X1] :
( sK1(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f32773]) ).
fof(f32986,plain,
! [X2,X0,X1] :
( m1_filter_0(sK1(X0,X1,X2),X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f32773]) ).
fof(f33071,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k7_lopclset(X1))
| ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f32783]) ).
fof(f33072,plain,
l3_lattices(sK8),
inference(cnf_transformation,[],[f32784]) ).
fof(f33073,plain,
~ v3_realset2(sK8),
inference(cnf_transformation,[],[f32784]) ).
fof(f33074,plain,
v17_lattices(sK8),
inference(cnf_transformation,[],[f32784]) ).
fof(f33075,plain,
v10_lattices(sK8),
inference(cnf_transformation,[],[f32784]) ).
fof(f33076,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f32784]) ).
fof(f33077,plain,
m1_subset_1(sK9,u1_struct_0(sK8)),
inference(cnf_transformation,[],[f32784]) ).
fof(f33078,plain,
~ r1_tarski(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),
inference(cnf_transformation,[],[f32784]) ).
fof(f33922,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK120(X0,X1),X0) ),
inference(cnf_transformation,[],[f32978]) ).
fof(f33923,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK120(X0,X1),X1) ),
inference(cnf_transformation,[],[f32978]) ).
fof(f33932,plain,
! [X2,X1] :
( r2_hidden(X2,k7_lopclset(X1))
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(equality_resolution,[],[f33071]) ).
fof(f34066,definition,
( spl154_1
<=> v3_realset2(sK8) ),
introduced(definition,[new_symbols(definition,[spl154_1])],[avatar_definition]) ).
fof(f34068,plain,
( ~ v3_realset2(sK8)
| spl154_1 ),
inference(avatar_component_clause,[],[f34066]) ).
fof(f34069,plain,
~ spl154_1,
inference(avatar_split_clause,[],[f33073,f34066]) ).
fof(f34071,definition,
( spl154_2
<=> v3_struct_0(sK8) ),
introduced(definition,[new_symbols(definition,[spl154_2])],[avatar_definition]) ).
fof(f34073,plain,
( ~ v3_struct_0(sK8)
| spl154_2 ),
inference(avatar_component_clause,[],[f34071]) ).
fof(f34074,plain,
~ spl154_2,
inference(avatar_split_clause,[],[f33076,f34071]) ).
fof(f34076,definition,
( spl154_3
<=> v10_lattices(sK8) ),
introduced(definition,[new_symbols(definition,[spl154_3])],[avatar_definition]) ).
fof(f34078,plain,
( v10_lattices(sK8)
| ~ spl154_3 ),
inference(avatar_component_clause,[],[f34076]) ).
fof(f34079,plain,
spl154_3,
inference(avatar_split_clause,[],[f33075,f34076]) ).
fof(f34081,definition,
( spl154_4
<=> r1_tarski(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) ),
introduced(definition,[new_symbols(definition,[spl154_4])],[avatar_definition]) ).
fof(f34083,plain,
( ~ r1_tarski(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8))
| spl154_4 ),
inference(avatar_component_clause,[],[f34081]) ).
fof(f34084,plain,
~ spl154_4,
inference(avatar_split_clause,[],[f33078,f34081]) ).
fof(f34105,plain,
( r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),a_2_0_lopclset(sK8,sK9))
| spl154_4 ),
inference(resolution,[],[f34083,f33922]) ).
fof(f34106,plain,
( ~ r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),k7_lopclset(sK8))
| spl154_4 ),
inference(resolution,[],[f34083,f33923]) ).
fof(f34109,definition,
( spl154_5
<=> r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),a_2_0_lopclset(sK8,sK9)) ),
introduced(definition,[new_symbols(definition,[spl154_5])],[avatar_definition]) ).
fof(f34111,plain,
( r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),a_2_0_lopclset(sK8,sK9))
| ~ spl154_5 ),
inference(avatar_component_clause,[],[f34109]) ).
fof(f34112,plain,
( spl154_5
| spl154_4 ),
inference(avatar_split_clause,[],[f34105,f34081,f34109]) ).
fof(f34114,definition,
( spl154_6
<=> l3_lattices(sK8) ),
introduced(definition,[new_symbols(definition,[spl154_6])],[avatar_definition]) ).
fof(f34116,plain,
( l3_lattices(sK8)
| ~ spl154_6 ),
inference(avatar_component_clause,[],[f34114]) ).
fof(f34117,plain,
spl154_6,
inference(avatar_split_clause,[],[f33072,f34114]) ).
fof(f34119,definition,
( spl154_7
<=> m1_subset_1(sK9,u1_struct_0(sK8)) ),
introduced(definition,[new_symbols(definition,[spl154_7])],[avatar_definition]) ).
fof(f34121,plain,
( m1_subset_1(sK9,u1_struct_0(sK8))
| ~ spl154_7 ),
inference(avatar_component_clause,[],[f34119]) ).
fof(f34122,plain,
spl154_7,
inference(avatar_split_clause,[],[f33077,f34119]) ).
fof(f34775,plain,
( v1_filter_0(sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9),sK8)
| v3_struct_0(sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ spl154_5 ),
inference(resolution,[],[f34111,f32984]) ).
fof(f34776,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| v3_struct_0(sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ spl154_5 ),
inference(resolution,[],[f34111,f32985]) ).
fof(f34846,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34776,f34073]) ).
fof(f34847,plain,
( v1_filter_0(sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9),sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34775,f34073]) ).
fof(f34856,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_3
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34846,f34078]) ).
fof(f34857,plain,
( v1_filter_0(sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9),sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_3
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34847,f34078]) ).
fof(f34865,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_3
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34856,f33074]) ).
fof(f34866,plain,
( v1_filter_0(sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9),sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_3
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34857,f33074]) ).
fof(f34873,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34865,f34068]) ).
fof(f34874,plain,
( v1_filter_0(sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9),sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5 ),
inference(forward_subsumption_resolution,[],[f34866,f34068]) ).
fof(f34877,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6 ),
inference(forward_subsumption_resolution,[],[f34873,f34116]) ).
fof(f34878,plain,
( v1_filter_0(sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9),sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6 ),
inference(forward_subsumption_resolution,[],[f34874,f34116]) ).
fof(f34881,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7 ),
inference(forward_subsumption_resolution,[],[f34877,f34121]) ).
fof(f34882,plain,
( v1_filter_0(sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9),sK8)
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7 ),
inference(forward_subsumption_resolution,[],[f34878,f34121]) ).
fof(f34884,plain,
( v1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7 ),
inference(forward_demodulation,[],[f34882,f34881]) ).
fof(f34887,definition,
( spl154_8
<=> v1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8) ),
introduced(definition,[new_symbols(definition,[spl154_8])],[avatar_definition]) ).
fof(f34889,plain,
( v1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| ~ spl154_8 ),
inference(avatar_component_clause,[],[f34887]) ).
fof(f34890,plain,
( spl154_8
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7 ),
inference(avatar_split_clause,[],[f34884,f34119,f34114,f34109,f34076,f34071,f34066,f34887]) ).
fof(f35667,definition,
( spl154_9
<=> sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl154_9])],[avatar_definition]) ).
fof(f35669,plain,
( sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)) = sK1(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8,sK9)
| ~ spl154_9 ),
inference(avatar_component_clause,[],[f35667]) ).
fof(f35670,plain,
( spl154_9
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7 ),
inference(avatar_split_clause,[],[f34881,f34119,f34114,f34109,f34076,f34071,f34066,f35667]) ).
fof(f36614,definition,
( spl154_11
<=> v17_lattices(sK8) ),
introduced(definition,[new_symbols(definition,[spl154_11])],[avatar_definition]) ).
fof(f36616,plain,
( v17_lattices(sK8)
| ~ spl154_11 ),
inference(avatar_component_clause,[],[f36614]) ).
fof(f36617,plain,
spl154_11,
inference(avatar_split_clause,[],[f33074,f36614]) ).
fof(f36619,definition,
( spl154_12
<=> r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),k7_lopclset(sK8)) ),
introduced(definition,[new_symbols(definition,[spl154_12])],[avatar_definition]) ).
fof(f36621,plain,
( ~ r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),k7_lopclset(sK8))
| spl154_12 ),
inference(avatar_component_clause,[],[f36619]) ).
fof(f36622,plain,
( ~ spl154_12
| spl154_4 ),
inference(avatar_split_clause,[],[f34106,f34081,f36619]) ).
fof(f36623,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| ~ v1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| v3_struct_0(sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| spl154_12 ),
inference(resolution,[],[f36621,f33932]) ).
fof(f36651,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| v3_struct_0(sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ spl154_8
| spl154_12 ),
inference(forward_subsumption_resolution,[],[f36623,f34889]) ).
fof(f36655,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| spl154_2
| ~ spl154_8
| spl154_12 ),
inference(forward_subsumption_resolution,[],[f36651,f34073]) ).
fof(f36657,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| spl154_2
| ~ spl154_3
| ~ spl154_8
| spl154_12 ),
inference(forward_subsumption_resolution,[],[f36655,f34078]) ).
fof(f36658,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| spl154_2
| ~ spl154_3
| ~ spl154_8
| ~ spl154_11
| spl154_12 ),
inference(forward_subsumption_resolution,[],[f36657,f36616]) ).
fof(f36659,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| ~ l3_lattices(sK8)
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_8
| ~ spl154_11
| spl154_12 ),
inference(forward_subsumption_resolution,[],[f36658,f34068]) ).
fof(f36660,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_6
| ~ spl154_8
| ~ spl154_11
| spl154_12 ),
inference(forward_subsumption_resolution,[],[f36659,f34116]) ).
fof(f36662,definition,
( spl154_13
<=> m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8) ),
introduced(definition,[new_symbols(definition,[spl154_13])],[avatar_definition]) ).
fof(f36664,plain,
( ~ m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| spl154_13 ),
inference(avatar_component_clause,[],[f36662]) ).
fof(f36665,plain,
( ~ spl154_13
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_6
| ~ spl154_8
| ~ spl154_11
| spl154_12 ),
inference(avatar_split_clause,[],[f36660,f36619,f36614,f34887,f34114,f34076,f34071,f34066,f36662]) ).
fof(f36752,plain,
( m1_filter_0(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),sK8)
| ~ r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),a_2_0_lopclset(sK8,sK9))
| v3_struct_0(sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ spl154_9 ),
inference(superposition,[],[f32986,f35669]) ).
fof(f36753,plain,
( ~ r2_hidden(sK120(a_2_0_lopclset(sK8,sK9),k7_lopclset(sK8)),a_2_0_lopclset(sK8,sK9))
| v3_struct_0(sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ spl154_9
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36752,f36664]) ).
fof(f36754,plain,
( v3_struct_0(sK8)
| ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ spl154_5
| ~ spl154_9
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36753,f34111]) ).
fof(f36755,plain,
( ~ v10_lattices(sK8)
| ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_5
| ~ spl154_9
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36754,f34073]) ).
fof(f36756,plain,
( ~ v17_lattices(sK8)
| v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_9
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36755,f34078]) ).
fof(f36757,plain,
( v3_realset2(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_9
| ~ spl154_11
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36756,f36616]) ).
fof(f36758,plain,
( ~ l3_lattices(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_9
| ~ spl154_11
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36757,f34068]) ).
fof(f36759,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_9
| ~ spl154_11
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36758,f34116]) ).
fof(f36760,plain,
( $false
| spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7
| ~ spl154_9
| ~ spl154_11
| spl154_13 ),
inference(forward_subsumption_resolution,[],[f36759,f34121]) ).
fof(f36761,plain,
( spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7
| ~ spl154_9
| ~ spl154_11
| spl154_13 ),
inference(avatar_contradiction_clause,[],[f36760]) ).
cnf(s1,plain,
~ spl154_1,
inference(sat_conversion,[],[f34069]) ).
cnf(s2,plain,
~ spl154_2,
inference(sat_conversion,[],[f34074]) ).
cnf(s3,plain,
spl154_3,
inference(sat_conversion,[],[f34079]) ).
cnf(s4,plain,
~ spl154_4,
inference(sat_conversion,[],[f34084]) ).
cnf(s5,plain,
( spl154_4
| spl154_5 ),
inference(sat_conversion,[],[f34112]) ).
cnf(s6,plain,
spl154_6,
inference(sat_conversion,[],[f34117]) ).
cnf(s7,plain,
spl154_7,
inference(sat_conversion,[],[f34122]) ).
cnf(s8,plain,
( spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7
| spl154_8 ),
inference(sat_conversion,[],[f34890]) ).
cnf(s9,plain,
( spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7
| spl154_9 ),
inference(sat_conversion,[],[f35670]) ).
cnf(s11,plain,
spl154_11,
inference(sat_conversion,[],[f36617]) ).
cnf(s12,plain,
( spl154_4
| ~ spl154_12 ),
inference(sat_conversion,[],[f36622]) ).
cnf(s13,plain,
( spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_6
| ~ spl154_8
| ~ spl154_11
| spl154_12
| ~ spl154_13 ),
inference(sat_conversion,[],[f36665]) ).
cnf(s14,plain,
( spl154_1
| spl154_2
| ~ spl154_3
| ~ spl154_5
| ~ spl154_6
| ~ spl154_7
| ~ spl154_9
| ~ spl154_11
| spl154_13 ),
inference(sat_conversion,[],[f36761]) ).
cnf(s15,plain,
~ spl154_12,
inference(rat,[],[s12,s4]) ).
cnf(s16,plain,
spl154_5,
inference(rat,[],[s5,s4]) ).
cnf(s18,plain,
spl154_9,
inference(rat,[],[s9,s2,s7,s6,s16,s3,s1]) ).
cnf(s19,plain,
spl154_8,
inference(rat,[],[s8,s2,s7,s6,s16,s3,s1]) ).
cnf(s20,plain,
spl154_13,
inference(rat,[],[s14,s1,s11,s2,s7,s6,s16,s3,s18]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s13,s1,s15,s11,s2,s6,s3,s20,s19]) ).
fof(f36762,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT288+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:13:01 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 14.42/4.66 % (1448079)Detected formulas, will run a generic FOF schedule.
% 14.42/4.66 % (1448090)dis-21_1_sil=8000:lcm=predicate:random_seed=1324917439:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2980 on theBenchmark for (2980ds/129Mi)
% 14.42/4.66 % (1448089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3557685497:s2a=on:i=139:gtg=position_2980 on theBenchmark for (2980ds/139Mi)
% 14.42/4.66 % (1448084)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=1720354591:i=141193_2980 on theBenchmark for (2980ds/141193Mi)
% 14.42/4.66 % (1448085)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=3829874475:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2980 on theBenchmark for (2980ds/134677Mi)
% 14.42/4.66 % (1448086)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=3049989903:i=141695:sd=1:nm=32:gsp=on:ss=included_2980 on theBenchmark for (2980ds/141695Mi)
% 14.42/4.66 % (1448088)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=278126052:i=119:av=off:ss=axioms_2980 on theBenchmark for (2980ds/119Mi)
% 14.42/4.66 % (1448087)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3382535264:i=109:sd=1:ins=1:gsp=on:ss=axioms_2980 on theBenchmark for (2980ds/109Mi)
% 14.42/4.66 % (1448090)Instruction limit reached!
% 14.42/4.66 % (1448090)------------------------------
% 14.42/4.66 % (1448090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448090)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448090)Termination reason: Instruction limit
% 14.42/4.66 % (1448090)Termination phase: SInE selection
% 14.42/4.66 % (1448090)Time elapsed: 0.053 s
% 14.42/4.66 % (1448090)Peak memory usage: 131 MB
% 14.42/4.66 % (1448090)Instructions burned: 132 (million)
% 14.42/4.66 % (1448089)Instruction limit reached!
% 14.42/4.66 % (1448089)------------------------------
% 14.42/4.66 % (1448089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448089)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448089)Termination reason: Instruction limit
% 14.42/4.66 % (1448089)Termination phase: Property scanning
% 14.42/4.66 % (1448089)Time elapsed: 0.067 s
% 14.42/4.66 % (1448089)Peak memory usage: 131 MB
% 14.42/4.66 % (1448089)Instructions burned: 141 (million)
% 14.42/4.66 % (1448087)Instruction limit reached!
% 14.42/4.66 % (1448087)------------------------------
% 14.42/4.66 % (1448087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448087)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448087)Termination reason: Instruction limit
% 14.42/4.66 % (1448087)Termination phase: SInE selection
% 14.42/4.66 % (1448087)Time elapsed: 0.076 s
% 14.42/4.66 % (1448087)Peak memory usage: 131 MB
% 14.42/4.66 % (1448087)Instructions burned: 109 (million)
% 14.42/4.66 % (1448088)Instruction limit reached!
% 14.42/4.66 % (1448088)------------------------------
% 14.42/4.66 % (1448088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448088)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448088)Termination reason: Instruction limit
% 14.42/4.66 % (1448088)Termination phase: SInE selection
% 14.42/4.66 % (1448088)Time elapsed: 0.084 s
% 14.42/4.66 % (1448088)Peak memory usage: 131 MB
% 14.42/4.66 % (1448088)Instructions burned: 120 (million)
% 14.42/4.66 % (1448098)lrs+10_1_sil=8000:sp=occurrence:random_seed=3362910047:i=285:sd=3:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/285Mi)
% 14.42/4.66 % (1448099)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1160966838:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/157Mi)
% 14.42/4.66 % (1448100)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3015770078:i=325:sd=1:ss=axioms:sgt=32_2978 on theBenchmark for (2978ds/325Mi)
% 14.42/4.66 % (1448098)Instruction limit reached!
% 14.42/4.66 % (1448098)------------------------------
% 14.42/4.66 % (1448098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448098)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448098)Termination reason: Instruction limit
% 14.42/4.66 % (1448098)Termination phase: Saturation
% 14.42/4.66 % (1448098)Time elapsed: 0.127 s
% 14.42/4.66 % (1448098)Peak memory usage: 137 MB
% 14.42/4.66 % (1448098)Instructions burned: 287 (million)
% 14.42/4.66 % (1448101)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=632808402:s2a=on:i=248:s2at=1.23:gtg=position_2977 on theBenchmark for (2977ds/248Mi)
% 14.42/4.66 % (1448099)Instruction limit reached!
% 14.42/4.66 % (1448099)------------------------------
% 14.42/4.66 % (1448099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448099)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448099)Termination reason: Instruction limit
% 14.42/4.66 % (1448099)Termination phase: Property scanning
% 14.42/4.66 % (1448099)Time elapsed: 0.070 s
% 14.42/4.66 % (1448099)Peak memory usage: 131 MB
% 14.42/4.66 % (1448099)Instructions burned: 159 (million)
% 14.42/4.66 % (1448106)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2870567275:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2976 on theBenchmark for (2976ds/294Mi)
% 14.42/4.66 % (1448101)Instruction limit reached!
% 14.42/4.66 % (1448101)------------------------------
% 14.42/4.66 % (1448101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448101)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448101)Termination reason: Instruction limit
% 14.42/4.66 % (1448101)Termination phase: Property scanning
% 14.42/4.66 % (1448101)Time elapsed: 0.109 s
% 14.42/4.66 % (1448101)Peak memory usage: 131 MB
% 14.42/4.66 % (1448101)Instructions burned: 248 (million)
% 14.42/4.66 % (1448107)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1267953264:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 14.42/4.66 % (1448106)Instruction limit reached!
% 14.42/4.66 % (1448106)------------------------------
% 14.42/4.66 % (1448106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448106)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448106)Termination reason: Instruction limit
% 14.42/4.66 % (1448106)Termination phase: SInE selection
% 14.42/4.66 % (1448106)Time elapsed: 0.103 s
% 14.42/4.66 % (1448106)Peak memory usage: 132 MB
% 14.42/4.66 % (1448106)Instructions burned: 296 (million)
% 14.42/4.66 % (1448100)Instruction limit reached!
% 14.42/4.66 % (1448100)------------------------------
% 14.42/4.66 % (1448100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448100)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448100)Termination reason: Instruction limit
% 14.42/4.66 % (1448100)Termination phase: Saturation
% 14.42/4.66 % (1448100)Time elapsed: 0.262 s
% 14.42/4.66 % (1448100)Peak memory usage: 137 MB
% 14.42/4.66 % (1448100)Instructions burned: 326 (million)
% 14.42/4.66 % (1448109)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2250579685:cts=off:i=113:fsr=off:ss=included:sgt=4_2975 on theBenchmark for (2975ds/113Mi)
% 14.42/4.66 % (1448111)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=134191129:i=127:av=off:fsr=off:sup=off_2974 on theBenchmark for (2974ds/127Mi)
% 14.42/4.66 % (1448111)Instruction limit reached!
% 14.42/4.66 % (1448111)------------------------------
% 14.42/4.66 % (1448111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448111)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448111)Termination reason: Instruction limit
% 14.42/4.66 % (1448111)Termination phase: Preprocessing 1
% 14.42/4.66 % (1448111)Time elapsed: 0.055 s
% 14.42/4.66 % (1448111)Peak memory usage: 132 MB
% 14.42/4.66 % (1448111)Instructions burned: 128 (million)
% 14.42/4.66 % (1448109)Instruction limit reached!
% 14.42/4.66 % (1448109)------------------------------
% 14.42/4.66 % (1448109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448109)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448109)Termination reason: Instruction limit
% 14.42/4.66 % (1448109)Termination phase: SInE selection
% 14.42/4.66 % (1448109)Time elapsed: 0.089 s
% 14.42/4.66 % (1448109)Peak memory usage: 131 MB
% 14.42/4.66 % (1448109)Instructions burned: 113 (million)
% 14.42/4.66 % (1448113)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1503999611:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2973 on theBenchmark for (2973ds/114Mi)
% 14.42/4.66 % (1448115)lrs+10_1_sil=8000:sp=occurrence:random_seed=367510503:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2973 on theBenchmark for (2973ds/907Mi)
% 14.42/4.66 % (1448113)Instruction limit reached!
% 14.42/4.66 % (1448113)------------------------------
% 14.42/4.66 % (1448113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.66 % (1448113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.66 % (1448113)CaDiCaL version: 2.1.3
% 14.42/4.66 % (1448113)Termination reason: Instruction limit
% 14.42/4.66 % (1448113)Termination phase: Property scanning
% 14.42/4.66 % (1448113)Time elapsed: 0.053 s
% 14.42/4.66 % (1448113)Peak memory usage: 131 MB
% 14.42/4.66 % (1448113)Instructions burned: 116 (million)
% 14.42/4.67 % (1448116)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=223765137:i=437:sd=1:aac=none:ss=included_2973 on theBenchmark for (2973ds/437Mi)
% 14.42/4.67 % (1448119)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1680814994:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 14.42/4.67 % (1448115)Instruction limit reached!
% 14.42/4.67 % (1448115)------------------------------
% 14.42/4.67 % (1448115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.67 % (1448115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.67 % (1448115)CaDiCaL version: 2.1.3
% 14.42/4.67 % (1448115)Termination reason: Instruction limit
% 14.42/4.67 % (1448115)Termination phase: Function definition elimination
% 14.42/4.67 % (1448115)Time elapsed: 0.342 s
% 14.42/4.67 % (1448115)Peak memory usage: 152 MB
% 14.42/4.67 % (1448115)Instructions burned: 908 (million)
% 14.42/4.67 % (1448116)Instruction limit reached!
% 14.42/4.67 % (1448116)------------------------------
% 14.42/4.67 % (1448116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.67 % (1448116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.67 % (1448116)CaDiCaL version: 2.1.3
% 14.42/4.67 % (1448116)Termination reason: Instruction limit
% 14.42/4.67 % (1448116)Termination phase: Saturation
% 14.42/4.67 % (1448116)Time elapsed: 0.311 s
% 14.42/4.67 % (1448116)Peak memory usage: 139 MB
% 14.42/4.67 % (1448116)Instructions burned: 438 (million)
% 14.42/4.67 % (1448122)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2341123127:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2968 on theBenchmark for (2968ds/134Mi)
% 14.42/4.67 % (1448122)Instruction limit reached!
% 14.42/4.67 % (1448122)------------------------------
% 14.42/4.67 % (1448122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.67 % (1448122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.67 % (1448122)CaDiCaL version: 2.1.3
% 14.42/4.67 % (1448122)Termination reason: Instruction limit
% 14.42/4.67 % (1448122)Termination phase: SInE selection
% 14.42/4.67 % (1448122)Time elapsed: 0.056 s
% 14.42/4.67 % (1448122)Peak memory usage: 131 MB
% 14.42/4.67 % (1448122)Instructions burned: 135 (million)
% 14.42/4.67 % (1448123)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3002501402:st=8:i=592:sd=3:ep=RST:ss=axioms_2968 on theBenchmark for (2968ds/592Mi)
% 14.42/4.67 % (1448125)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=602683320:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 14.42/4.67 % (1448086)First to succeed.
% 14.42/4.67 % (1448086)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1448079"
% 14.42/4.67 % (1448123)Instruction limit reached!
% 14.42/4.67 % (1448123)------------------------------
% 14.42/4.67 % (1448123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.67 % (1448123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.67 % (1448123)CaDiCaL version: 2.1.3
% 14.42/4.67 % (1448123)Termination reason: Instruction limit
% 14.42/4.67 % (1448123)Termination phase: Preprocessing 2
% 14.42/4.67 % (1448123)Time elapsed: 0.471 s
% 14.42/4.67 % (1448123)Peak memory usage: 152 MB
% 14.42/4.67 % (1448123)Instructions burned: 592 (million)
% 14.42/4.67 % (1448086)Refutation found. Thanks to Tanya!
% 14.42/4.67 % SZS status Theorem for theBenchmark
% 14.42/4.67 % SZS output start Proof for theBenchmark
% See solution above
% 15.39/4.77 % (1448086)------------------------------
% 15.39/4.77 % (1448086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.77 % (1448086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.77 % (1448086)CaDiCaL version: 2.1.3
% 15.39/4.77 % (1448086)Termination reason: Refutation
% 15.39/4.77 % (1448086)Time elapsed: 1.382 s
% 15.39/4.77 % (1448086)Peak memory usage: 200 MB
% 15.39/4.77 % (1448086)Instructions burned: 2048 (million)
% 15.39/4.77 % (1448086)------------------------------
% 15.39/4.77 % (1448086)------------------------------
% 15.39/4.77 % (1448079)Success in time 3.804 s
% 15.39/4.77 % Vampire exiting
%------------------------------------------------------------------------------