%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU336+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:48:24 PM UTC 2026
% Result : Theorem 1.61s 1.63s
% Output : Refutation 5.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 15
% Syntax : Number of formulae : 142 ( 9 unt; 6 def)
% Number of atoms : 582 ( 14 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 745 ( 305 ~; 347 |; 48 &)
% ( 22 <=>; 22 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 170 ( 0 sgn 157 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X2,X1)
=> open_subset(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tops_2) ).
fof(f18,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( closed_subsets(X1,X0)
<=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X2,X1)
=> closed_subset(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tops_2) ).
fof(f19,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ! [X2] :
( element(X2,powerset(powerset(X0)))
=> ( X2 = complements_of_subsets(X0,X1)
<=> ! [X3] :
( element(X3,powerset(X0))
=> ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_setfam_1) ).
fof(f23,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(f34,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(f39,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( closed_subsets(X1,X0)
<=> open_subsets(complements_of_subsets(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_tops_2) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( closed_subsets(X1,X0)
<=> open_subsets(complements_of_subsets(the_carrier(X0),X1),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f42,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_tops_1) ).
fof(f44,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_tops_1) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( open_subsets(X1,X0)
<=> ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( open_subsets(X1,X0)
<=> ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( closed_subsets(X1,X0)
<=> ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( closed_subsets(X1,X0)
<=> ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = complements_of_subsets(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) )
| ~ element(X3,powerset(X0)) ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f19]) ).
fof(f87,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f23]) ).
fof(f89,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f34]) ).
fof(f91,plain,
? [X0] :
( ? [X1] :
( ( closed_subsets(X1,X0)
<~> open_subsets(complements_of_subsets(the_carrier(X0),X1),X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f98,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f99,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f98]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( ( open_subsets(X1,X0)
| ? [X2] :
( ~ open_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ open_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( ( open_subsets(X1,X0)
| ? [X2] :
( ~ open_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( open_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ open_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(rectify,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( ( open_subsets(X1,X0)
| ( ~ open_subset(sK0(X0,X1),X0)
& in(sK0(X0,X1),X1)
& element(sK0(X0,X1),powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( open_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ open_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f105]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subsets(X1,X0)
| ? [X2] :
( ~ closed_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ closed_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f84]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subsets(X1,X0)
| ? [X2] :
( ~ closed_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( closed_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ closed_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subsets(X1,X0)
| ( ~ closed_subset(sK1(X0,X1),X0)
& in(sK1(X0,X1),X1)
& element(sK1(X0,X1),powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( closed_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ closed_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = complements_of_subsets(X0,X1)
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(nnf_transformation,[],[f85]) ).
fof(f111,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = complements_of_subsets(X0,X1)
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = complements_of_subsets(X0,X1)
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X0,X4),X1) )
& ( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(rectify,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = complements_of_subsets(X0,X1)
| ( ( ~ in(subset_complement(X0,sK2(X0,X1,X2)),X1)
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(subset_complement(X0,sK2(X0,X1,X2)),X1)
| in(sK2(X0,X1,X2),X2) )
& element(sK2(X0,X1,X2),powerset(X0)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X0,X4),X1) )
& ( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f112]) ).
fof(f119,plain,
? [X0] :
( ? [X1] :
( ( ~ open_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| ~ closed_subsets(X1,X0) )
& ( open_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| closed_subsets(X1,X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(nnf_transformation,[],[f91]) ).
fof(f120,plain,
? [X0] :
( ? [X1] :
( ( ~ open_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| ~ closed_subsets(X1,X0) )
& ( open_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| closed_subsets(X1,X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
( ( ~ open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ closed_subsets(sK9,sK8) )
& ( open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| closed_subsets(sK9,sK8) )
& element(sK9,powerset(powerset(the_carrier(sK8))))
& top_str(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f120]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subset(X1,X0)
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( ( open_subset(X1,X0)
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f149,plain,
! [X3,X0,X1] :
( open_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0)))
| ~ open_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f150,plain,
! [X0,X1] :
( element(sK0(X0,X1),powerset(the_carrier(X0)))
| open_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f151,plain,
! [X0,X1] :
( open_subsets(X1,X0)
| in(sK0(X0,X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f152,plain,
! [X0,X1] :
( ~ open_subset(sK0(X0,X1),X0)
| open_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f153,plain,
! [X3,X0,X1] :
( closed_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0)))
| ~ closed_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f154,plain,
! [X0,X1] :
( element(sK1(X0,X1),powerset(the_carrier(X0)))
| closed_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f155,plain,
! [X0,X1] :
( closed_subsets(X1,X0)
| in(sK1(X0,X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f156,plain,
! [X0,X1] :
( ~ closed_subset(sK1(X0,X1),X0)
| closed_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f157,plain,
! [X2,X0,X1,X4] :
( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2)
| ~ element(X4,powerset(X0))
| complements_of_subsets(X0,X1) != X2
| ~ element(X2,powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f163,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f174,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f89]) ).
fof(f186,plain,
top_str(sK8),
inference(cnf_transformation,[],[f121]) ).
fof(f187,plain,
element(sK9,powerset(powerset(the_carrier(sK8)))),
inference(cnf_transformation,[],[f121]) ).
fof(f188,plain,
( open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| closed_subsets(sK9,sK8) ),
inference(cnf_transformation,[],[f121]) ).
fof(f189,plain,
( ~ open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ closed_subsets(sK9,sK8) ),
inference(cnf_transformation,[],[f121]) ).
fof(f192,plain,
! [X0,X1] :
( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f195,plain,
! [X0,X1] :
( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f197,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f203,plain,
! [X0,X1,X4] :
( in(subset_complement(X0,X4),X1)
| ~ in(X4,complements_of_subsets(X0,X1))
| ~ element(X4,powerset(X0))
| ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(equality_resolution,[],[f157]) ).
fof(f205,definition,
( spl10_1
<=> closed_subsets(sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f206,plain,
( ~ closed_subsets(sK9,sK8)
| spl10_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( closed_subsets(sK9,sK8)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl10_2
<=> open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f210,plain,
( ~ open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| spl10_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f188,f209,f205]) ).
fof(f213,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f189,f209,f205]) ).
fof(f263,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ in(X3,X1)
| ~ open_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| open_subset(X3,X0) ),
inference(forward_subsumption_resolution,[],[f149,f197]) ).
fof(f265,plain,
! [X0,X1] :
( ~ open_subsets(X1,sK8)
| ~ in(X0,X1)
| ~ element(X1,powerset(powerset(the_carrier(sK8))))
| open_subset(X0,sK8) ),
inference(resolution,[],[f263,f186]) ).
fof(f270,plain,
! [X3,X0,X1] :
( ~ closed_subsets(X1,X0)
| ~ in(X3,X1)
| closed_subset(X3,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f153,f197]) ).
fof(f287,plain,
! [X0,X1,X4] :
( in(subset_complement(X0,X4),X1)
| ~ in(X4,complements_of_subsets(X0,X1))
| ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(forward_subsumption_resolution,[],[f203,f197]) ).
fof(f288,plain,
! [X0,X1,X4] :
( ~ in(X4,complements_of_subsets(X0,X1))
| in(subset_complement(X0,X4),X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(forward_subsumption_resolution,[],[f287,f163]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ in(X1,X0)
| in(subset_complement(X2,X1),complements_of_subsets(X2,X0))
| ~ element(complements_of_subsets(X2,X0),powerset(powerset(X2)))
| ~ element(X0,powerset(powerset(X2))) ),
inference(superposition,[],[f288,f174]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ in(X1,X0)
| in(subset_complement(X2,X1),complements_of_subsets(X2,X0))
| ~ element(X0,powerset(powerset(X2))) ),
inference(forward_subsumption_resolution,[],[f293,f163]) ).
fof(f308,definition,
( spl10_5
<=> element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f309,plain,
( element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( ~ element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| spl10_5 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f312,definition,
( spl10_6
<=> ! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK8),sK9))
| open_subset(X0,sK8) ) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f313,plain,
( ! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK8),sK9))
| open_subset(X0,sK8) )
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f328,plain,
( ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| spl10_5 ),
inference(resolution,[],[f310,f163]) ).
fof(f332,plain,
( $false
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f328,f187]) ).
fof(f333,plain,
spl10_5,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f367,plain,
( ! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK8),sK9))
| ~ element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| open_subset(X0,sK8) )
| ~ spl10_2 ),
inference(resolution,[],[f211,f265]) ).
fof(f368,plain,
( ! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK8),sK9))
| open_subset(X0,sK8) )
| ~ spl10_2
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f367,f309]) ).
fof(f369,plain,
( spl10_6
| ~ spl10_2
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f368,f308,f209,f312]) ).
fof(f491,plain,
( ! [X0] :
( ~ in(X0,sK9)
| closed_subset(X0,sK8)
| ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8) )
| ~ spl10_1 ),
inference(resolution,[],[f207,f270]) ).
fof(f492,plain,
( ! [X0] :
( ~ in(X0,sK9)
| closed_subset(X0,sK8)
| ~ top_str(sK8) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f491,f187]) ).
fof(f493,plain,
( ! [X0] :
( ~ in(X0,sK9)
| closed_subset(X0,sK8) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f492,f186]) ).
fof(f600,plain,
( in(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),complements_of_subsets(the_carrier(sK8),sK9))
| ~ element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_2 ),
inference(resolution,[],[f210,f151]) ).
fof(f601,plain,
( in(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),complements_of_subsets(the_carrier(sK8),sK9))
| ~ top_str(sK8)
| spl10_2
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f600,f309]) ).
fof(f602,plain,
( in(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),complements_of_subsets(the_carrier(sK8),sK9))
| spl10_2
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f601,f186]) ).
fof(f625,plain,
( in(subset_complement(the_carrier(sK8),sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9))),sK9)
| ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| spl10_2
| ~ spl10_5 ),
inference(resolution,[],[f602,f288]) ).
fof(f631,plain,
( in(subset_complement(the_carrier(sK8),sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9))),sK9)
| spl10_2
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f625,f187]) ).
fof(f652,plain,
( closed_subset(subset_complement(the_carrier(sK8),sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9))),sK8)
| ~ spl10_1
| spl10_2
| ~ spl10_5 ),
inference(resolution,[],[f631,f493]) ).
fof(f799,definition,
( spl10_26
<=> element(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),powerset(the_carrier(sK8))) ),
introduced(definition,[new_symbols(definition,[spl10_26])],[avatar_definition]) ).
fof(f800,plain,
( element(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),powerset(the_carrier(sK8)))
| ~ spl10_26 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f801,plain,
( ~ element(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),powerset(the_carrier(sK8)))
| spl10_26 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f806,plain,
( open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_26 ),
inference(resolution,[],[f801,f150]) ).
fof(f810,plain,
( ~ element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_2
| spl10_26 ),
inference(forward_subsumption_resolution,[],[f806,f210]) ).
fof(f811,plain,
( ~ top_str(sK8)
| spl10_2
| ~ spl10_5
| spl10_26 ),
inference(forward_subsumption_resolution,[],[f810,f309]) ).
fof(f812,plain,
( $false
| spl10_2
| ~ spl10_5
| spl10_26 ),
inference(forward_subsumption_resolution,[],[f811,f186]) ).
fof(f813,plain,
( spl10_2
| ~ spl10_5
| spl10_26 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f846,plain,
( open_subset(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),sK8)
| ~ element(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),powerset(the_carrier(sK8)))
| ~ top_str(sK8)
| ~ spl10_1
| spl10_2
| ~ spl10_5 ),
inference(resolution,[],[f652,f195]) ).
fof(f849,plain,
( open_subset(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),sK8)
| ~ top_str(sK8)
| ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(forward_subsumption_resolution,[],[f846,f800]) ).
fof(f859,plain,
( open_subset(sK0(sK8,complements_of_subsets(the_carrier(sK8),sK9)),sK8)
| ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(forward_subsumption_resolution,[],[f849,f186]) ).
fof(f861,plain,
( open_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(resolution,[],[f859,f152]) ).
fof(f863,plain,
( ~ element(complements_of_subsets(the_carrier(sK8),sK9),powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(forward_subsumption_resolution,[],[f861,f210]) ).
fof(f864,plain,
( ~ top_str(sK8)
| ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(forward_subsumption_resolution,[],[f863,f309]) ).
fof(f865,plain,
( $false
| ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(forward_subsumption_resolution,[],[f864,f186]) ).
fof(f866,plain,
( ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f867,plain,
( in(sK1(sK8,sK9),sK9)
| ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_1 ),
inference(resolution,[],[f206,f155]) ).
fof(f868,plain,
( in(sK1(sK8,sK9),sK9)
| ~ top_str(sK8)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f867,f187]) ).
fof(f869,plain,
( in(sK1(sK8,sK9),sK9)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f868,f186]) ).
fof(f873,plain,
( ! [X0] :
( ~ element(sK9,powerset(powerset(X0)))
| in(subset_complement(X0,sK1(sK8,sK9)),complements_of_subsets(X0,sK9)) )
| spl10_1 ),
inference(resolution,[],[f869,f294]) ).
fof(f892,plain,
( in(subset_complement(the_carrier(sK8),sK1(sK8,sK9)),complements_of_subsets(the_carrier(sK8),sK9))
| spl10_1 ),
inference(resolution,[],[f873,f187]) ).
fof(f1015,plain,
( open_subset(subset_complement(the_carrier(sK8),sK1(sK8,sK9)),sK8)
| spl10_1
| ~ spl10_6 ),
inference(resolution,[],[f892,f313]) ).
fof(f1035,definition,
( spl10_38
<=> element(sK1(sK8,sK9),powerset(the_carrier(sK8))) ),
introduced(definition,[new_symbols(definition,[spl10_38])],[avatar_definition]) ).
fof(f1036,plain,
( element(sK1(sK8,sK9),powerset(the_carrier(sK8)))
| ~ spl10_38 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1037,plain,
( ~ element(sK1(sK8,sK9),powerset(the_carrier(sK8)))
| spl10_38 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1047,plain,
( closed_subsets(sK9,sK8)
| ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_38 ),
inference(resolution,[],[f1037,f154]) ).
fof(f1051,plain,
( ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_1
| spl10_38 ),
inference(forward_subsumption_resolution,[],[f1047,f206]) ).
fof(f1052,plain,
( ~ top_str(sK8)
| spl10_1
| spl10_38 ),
inference(forward_subsumption_resolution,[],[f1051,f187]) ).
fof(f1053,plain,
( $false
| spl10_1
| spl10_38 ),
inference(forward_subsumption_resolution,[],[f1052,f186]) ).
fof(f1054,plain,
( spl10_1
| spl10_38 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1058,plain,
( closed_subset(sK1(sK8,sK9),sK8)
| ~ element(sK1(sK8,sK9),powerset(the_carrier(sK8)))
| ~ top_str(sK8)
| spl10_1
| ~ spl10_6 ),
inference(resolution,[],[f1015,f192]) ).
fof(f1061,plain,
( closed_subset(sK1(sK8,sK9),sK8)
| ~ top_str(sK8)
| spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(forward_subsumption_resolution,[],[f1058,f1036]) ).
fof(f1071,plain,
( closed_subset(sK1(sK8,sK9),sK8)
| spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(forward_subsumption_resolution,[],[f1061,f186]) ).
fof(f1072,plain,
( closed_subsets(sK9,sK8)
| ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(resolution,[],[f1071,f156]) ).
fof(f1074,plain,
( ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(forward_subsumption_resolution,[],[f1072,f206]) ).
fof(f1075,plain,
( ~ top_str(sK8)
| spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(forward_subsumption_resolution,[],[f1074,f187]) ).
fof(f1076,plain,
( $false
| spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(forward_subsumption_resolution,[],[f1075,f186]) ).
fof(f1077,plain,
( spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
cnf(s1,plain,
( spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f212]) ).
cnf(s2,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(sat_conversion,[],[f213]) ).
cnf(s5,plain,
spl10_5,
inference(sat_conversion,[],[f333]) ).
cnf(s9,plain,
( ~ spl10_2
| ~ spl10_5
| spl10_6 ),
inference(sat_conversion,[],[f369]) ).
cnf(s30,plain,
( spl10_2
| ~ spl10_5
| spl10_26 ),
inference(sat_conversion,[],[f813]) ).
cnf(s32,plain,
( ~ spl10_1
| spl10_2
| ~ spl10_5
| ~ spl10_26 ),
inference(sat_conversion,[],[f866]) ).
cnf(s41,plain,
( spl10_1
| spl10_38 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s43,plain,
( spl10_1
| ~ spl10_6
| ~ spl10_38 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s47,plain,
spl10_1,
inference(rat,[],[s9,s43,s1,s41,s5]) ).
cnf(s48,plain,
~ spl10_2,
inference(rat,[],[s2,s47]) ).
cnf(s49,plain,
~ spl10_26,
inference(rat,[],[s32,s48,s5,s47]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s30,s5,s49,s48]) ).
fof(f1078,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU336+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.40 % Computer : n001.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8046.5625MB
% 0.16/0.40 % OS : Linux 6.8.0-71-generic
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Mon Sep 28 04:53:56 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 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
% 1.61/1.63 % (28629)Detected formulas, will run a generic FOF schedule.
% 1.61/1.63 % (28637)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1931926625:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.61/1.63 % (28637)Refutation not found, incomplete strategy
% 1.61/1.63 % (28637)------------------------------
% 1.61/1.63 % (28637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.63 % (28637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.63 % (28637)CaDiCaL version: 2.1.3
% 1.61/1.63 % (28637)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.63 % (28637)Time elapsed: 0.003 s
% 1.61/1.63 % (28637)Peak memory usage: 88 MB
% 1.61/1.63 % (28637)Instructions burned: 2 (million)
% 1.61/1.63 % (28635)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=105526750:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.61/1.63 % (28634)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=2467353882:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.61/1.63 % (28640)dis-21_1_sil=8000:lcm=predicate:random_seed=1304139681: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)
% 1.61/1.63 % (28638)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2981099235:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.61/1.63 % (28639)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2822448587:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.61/1.63 % (28636)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=2903032437:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.61/1.63 % (28639)First to succeed.
% 1.61/1.63 % (28639)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28629"
% 1.61/1.63 % (28638)Also succeeded, but the first one will report.
% 1.61/1.63 % (28640)Instruction limit reached!
% 1.61/1.63 % (28640)------------------------------
% 1.61/1.63 % (28640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.63 % (28640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.63 % (28640)CaDiCaL version: 2.1.3
% 1.61/1.63 % (28640)Termination reason: Instruction limit
% 1.61/1.63 % (28640)Termination phase: Saturation
% 1.61/1.63 % (28640)Time elapsed: 0.131 s
% 1.61/1.63 % (28640)Peak memory usage: 89 MB
% 1.61/1.63 % (28640)Instructions burned: 129 (million)
% 1.61/1.63 % (28637)------------------------------
% 1.61/1.63 % (28637)------------------------------
% 1.61/1.63 % (28639)Refutation found. Thanks to Tanya!
% 1.61/1.63 % SZS status Theorem for theBenchmark
% 1.61/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.12/1.85 % (28639)------------------------------
% 5.12/1.85 % (28639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.85 % (28639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.85 % (28639)CaDiCaL version: 2.1.3
% 5.12/1.85 % (28639)Termination reason: Refutation
% 5.12/1.85 % (28639)Time elapsed: 0.047 s
% 5.12/1.85 % (28639)Peak memory usage: 90 MB
% 5.12/1.85 % (28639)Instructions burned: 50 (million)
% 5.12/1.85 % (28639)------------------------------
% 5.12/1.85 % (28639)------------------------------
% 5.12/1.85 % (28629)Success in time 0.614 s
% 5.12/1.85 % Vampire exiting
%------------------------------------------------------------------------------