%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU337+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:52:55 PM UTC 2026
% Result : Theorem 2.29s 0.82s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 158 ( 18 unt; 6 def)
% Number of atoms : 575 ( 26 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 720 ( 303 ~; 328 |; 48 &)
% ( 18 <=>; 22 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 212 ( 0 sgn 199 !; 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))))
=> ( open_subsets(X1,X0)
<=> closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_tops_2) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> closed_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] :
( ( open_subsets(X1,X0)
<~> closed_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] :
( ( ~ closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| ~ open_subsets(X1,X0) )
& ( closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| open_subsets(X1,X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(nnf_transformation,[],[f91]) ).
fof(f120,plain,
? [X0] :
( ? [X1] :
( ( ~ closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| ~ open_subsets(X1,X0) )
& ( closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| open_subsets(X1,X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
( ( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subsets(sK9,sK8) )
& ( closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| open_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(f151,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| in(sK0(X0,X1),X1)
| open_subsets(X1,X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f152,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ open_subset(sK0(X0,X1),X0)
| open_subsets(X1,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(f155,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| in(sK1(X0,X1),X1)
| closed_subsets(X1,X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f156,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ closed_subset(sK1(X0,X1),X0)
| closed_subsets(X1,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] :
( ~ element(X1,powerset(powerset(X0)))
| complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
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,
( closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| open_subsets(sK9,sK8) ),
inference(cnf_transformation,[],[f121]) ).
fof(f189,plain,
( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_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(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,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(f204,definition,
sF10 = the_carrier(sK8),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f205,plain,
the_carrier(sK8) = sF10,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF11 = complements_of_subsets(sF10,sK9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f207,plain,
complements_of_subsets(sF10,sK9) = sF11,
inference(reorient_equations,[],[f206]) ).
fof(f208,plain,
( ~ closed_subsets(sF11,sK8)
| ~ open_subsets(sK9,sK8) ),
inference(definition_folding,[],[f189,f207,f205]) ).
fof(f209,plain,
( closed_subsets(sF11,sK8)
| open_subsets(sK9,sK8) ),
inference(definition_folding,[],[f188,f207,f205]) ).
fof(f210,definition,
sF12 = powerset(sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f211,plain,
powerset(sF10) = sF12,
inference(reorient_equations,[],[f210]) ).
fof(f212,definition,
sF13 = powerset(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f213,plain,
powerset(sF12) = sF13,
inference(reorient_equations,[],[f212]) ).
fof(f214,plain,
element(sK9,sF13),
inference(definition_folding,[],[f187,f213,f211,f205]) ).
fof(f216,definition,
( spl14_1
<=> open_subsets(sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f217,plain,
( ~ open_subsets(sK9,sK8)
| spl14_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( open_subsets(sK9,sK8)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f220,definition,
( spl14_2
<=> closed_subsets(sF11,sK8) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f221,plain,
( ~ closed_subsets(sF11,sK8)
| spl14_2 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( closed_subsets(sF11,sK8)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f209,f220,f216]) ).
fof(f224,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f208,f220,f216]) ).
fof(f225,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(f227,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X3,X1)
| ~ closed_subsets(X1,X0)
| closed_subset(X3,X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f153,f197]) ).
fof(f228,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X3,X1)
| ~ open_subsets(X1,X0)
| open_subset(X3,X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f149,f197]) ).
fof(f229,plain,
! [X0,X1,X4] :
( ~ element(X1,powerset(powerset(X0)))
| ~ in(X4,complements_of_subsets(X0,X1))
| in(subset_complement(X0,X4),X1) ),
inference(forward_subsumption_resolution,[],[f225,f163]) ).
fof(f570,plain,
! [X0,X1] :
( ~ element(X0,sF13)
| ~ in(X1,X0)
| element(X1,sF12) ),
inference(superposition,[],[f197,f213]) ).
fof(f609,plain,
( element(sF11,powerset(powerset(sF10)))
| ~ element(sK9,powerset(powerset(sF10))) ),
inference(superposition,[],[f163,f207]) ).
fof(f615,plain,
( element(sF11,powerset(sF12))
| ~ element(sK9,powerset(powerset(sF10))) ),
inference(forward_demodulation,[],[f609,f211]) ).
fof(f619,plain,
( element(sF11,sF13)
| ~ element(sK9,powerset(powerset(sF10))) ),
inference(forward_demodulation,[],[f615,f213]) ).
fof(f621,plain,
( ~ element(sK9,powerset(sF12))
| element(sF11,sF13) ),
inference(forward_demodulation,[],[f619,f211]) ).
fof(f622,plain,
( ~ element(sK9,sF13)
| element(sF11,sF13) ),
inference(forward_demodulation,[],[f621,f213]) ).
fof(f623,plain,
element(sF11,sF13),
inference(forward_subsumption_resolution,[],[f622,f214]) ).
fof(f633,plain,
! [X0] :
( ~ element(X0,powerset(sF12))
| complements_of_subsets(sF10,complements_of_subsets(sF10,X0)) = X0 ),
inference(superposition,[],[f174,f211]) ).
fof(f637,plain,
! [X0] :
( ~ element(X0,sF13)
| complements_of_subsets(sF10,complements_of_subsets(sF10,X0)) = X0 ),
inference(forward_demodulation,[],[f633,f213]) ).
fof(f651,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF12))
| ~ in(X1,complements_of_subsets(sF10,X0))
| in(subset_complement(sF10,X1),X0) ),
inference(superposition,[],[f229,f211]) ).
fof(f655,plain,
! [X0,X1] :
( ~ in(X1,complements_of_subsets(sF10,X0))
| ~ element(X0,sF13)
| in(subset_complement(sF10,X1),X0) ),
inference(forward_demodulation,[],[f651,f213]) ).
fof(f669,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| in(sK0(sK8,X0),X0)
| open_subsets(X0,sK8)
| ~ top_str(sK8) ),
inference(superposition,[],[f151,f205]) ).
fof(f670,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| in(sK0(sK8,X0),X0)
| open_subsets(X0,sK8) ),
inference(forward_subsumption_resolution,[],[f669,f186]) ).
fof(f674,plain,
! [X0] :
( ~ element(X0,powerset(sF12))
| in(sK0(sK8,X0),X0)
| open_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f670,f211]) ).
fof(f676,plain,
! [X0] :
( ~ element(X0,sF13)
| in(sK0(sK8,X0),X0)
| open_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f674,f213]) ).
fof(f682,plain,
( in(sK0(sK8,sK9),sK9)
| open_subsets(sK9,sK8) ),
inference(resolution,[],[f676,f214]) ).
fof(f723,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ open_subset(sK0(sK8,X0),sK8)
| open_subsets(X0,sK8)
| ~ top_str(sK8) ),
inference(superposition,[],[f152,f205]) ).
fof(f724,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ open_subset(sK0(sK8,X0),sK8)
| open_subsets(X0,sK8) ),
inference(forward_subsumption_resolution,[],[f723,f186]) ).
fof(f727,plain,
! [X0] :
( ~ element(X0,powerset(sF12))
| ~ open_subset(sK0(sK8,X0),sK8)
| open_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f724,f211]) ).
fof(f729,plain,
! [X0] :
( ~ open_subset(sK0(sK8,X0),sK8)
| ~ element(X0,sF13)
| open_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f727,f213]) ).
fof(f737,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| in(sK1(sK8,X0),X0)
| closed_subsets(X0,sK8)
| ~ top_str(sK8) ),
inference(superposition,[],[f155,f205]) ).
fof(f738,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| in(sK1(sK8,X0),X0)
| closed_subsets(X0,sK8) ),
inference(forward_subsumption_resolution,[],[f737,f186]) ).
fof(f742,plain,
! [X0] :
( ~ element(X0,powerset(sF12))
| in(sK1(sK8,X0),X0)
| closed_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f738,f211]) ).
fof(f744,plain,
! [X0] :
( ~ element(X0,sF13)
| in(sK1(sK8,X0),X0)
| closed_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f742,f213]) ).
fof(f753,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ closed_subset(sK1(sK8,X0),sK8)
| closed_subsets(X0,sK8)
| ~ top_str(sK8) ),
inference(superposition,[],[f156,f205]) ).
fof(f754,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ closed_subset(sK1(sK8,X0),sK8)
| closed_subsets(X0,sK8) ),
inference(forward_subsumption_resolution,[],[f753,f186]) ).
fof(f757,plain,
! [X0] :
( ~ element(X0,powerset(sF12))
| ~ closed_subset(sK1(sK8,X0),sK8)
| closed_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f754,f211]) ).
fof(f759,plain,
! [X0] :
( ~ closed_subset(sK1(sK8,X0),sK8)
| ~ element(X0,sF13)
| closed_subsets(X0,sK8) ),
inference(forward_demodulation,[],[f757,f213]) ).
fof(f772,plain,
! [X0] :
( ~ open_subset(subset_complement(sF10,X0),sK8)
| closed_subset(X0,sK8)
| ~ element(X0,powerset(sF10))
| ~ top_str(sK8) ),
inference(superposition,[],[f192,f205]) ).
fof(f773,plain,
! [X0] :
( ~ open_subset(subset_complement(sF10,X0),sK8)
| closed_subset(X0,sK8)
| ~ element(X0,powerset(sF10)) ),
inference(forward_subsumption_resolution,[],[f772,f186]) ).
fof(f791,plain,
! [X0] :
( ~ closed_subset(subset_complement(sF10,X0),sK8)
| open_subset(X0,sK8)
| ~ element(X0,powerset(sF10))
| ~ top_str(sK8) ),
inference(superposition,[],[f195,f205]) ).
fof(f792,plain,
! [X0] :
( ~ closed_subset(subset_complement(sF10,X0),sK8)
| open_subset(X0,sK8)
| ~ element(X0,powerset(sF10)) ),
inference(forward_subsumption_resolution,[],[f791,f186]) ).
fof(f803,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ in(X1,X0)
| ~ closed_subsets(X0,sK8)
| closed_subset(X1,sK8)
| ~ top_str(sK8) ),
inference(superposition,[],[f227,f205]) ).
fof(f804,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ in(X1,X0)
| ~ closed_subsets(X0,sK8)
| closed_subset(X1,sK8) ),
inference(forward_subsumption_resolution,[],[f803,f186]) ).
fof(f807,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF12))
| ~ in(X1,X0)
| ~ closed_subsets(X0,sK8)
| closed_subset(X1,sK8) ),
inference(forward_demodulation,[],[f804,f211]) ).
fof(f808,plain,
! [X0,X1] :
( ~ closed_subsets(X0,sK8)
| ~ in(X1,X0)
| ~ element(X0,sF13)
| closed_subset(X1,sK8) ),
inference(forward_demodulation,[],[f807,f213]) ).
fof(f816,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ in(X1,X0)
| ~ open_subsets(X0,sK8)
| open_subset(X1,sK8)
| ~ top_str(sK8) ),
inference(superposition,[],[f228,f205]) ).
fof(f817,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(sF10)))
| ~ in(X1,X0)
| ~ open_subsets(X0,sK8)
| open_subset(X1,sK8) ),
inference(forward_subsumption_resolution,[],[f816,f186]) ).
fof(f820,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF12))
| ~ in(X1,X0)
| ~ open_subsets(X0,sK8)
| open_subset(X1,sK8) ),
inference(forward_demodulation,[],[f817,f211]) ).
fof(f821,plain,
! [X0,X1] :
( ~ open_subsets(X0,sK8)
| ~ in(X1,X0)
| ~ element(X0,sF13)
| open_subset(X1,sK8) ),
inference(forward_demodulation,[],[f820,f213]) ).
fof(f856,plain,
( in(sK1(sK8,sF11),sF11)
| closed_subsets(sF11,sK8) ),
inference(resolution,[],[f744,f623]) ).
fof(f1299,plain,
! [X0] :
( ~ open_subset(subset_complement(sF10,X0),sK8)
| ~ element(X0,sF12)
| closed_subset(X0,sK8) ),
inference(forward_demodulation,[],[f773,f211]) ).
fof(f1300,plain,
! [X0] :
( ~ closed_subset(subset_complement(sF10,X0),sK8)
| ~ element(X0,sF12)
| open_subset(X0,sK8) ),
inference(forward_demodulation,[],[f792,f211]) ).
fof(f1425,plain,
( in(sK1(sK8,sF11),sF11)
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f856,f221]) ).
fof(f1427,plain,
( ! [X0] :
( ~ in(X0,sK9)
| ~ element(sK9,sF13)
| open_subset(X0,sK8) )
| ~ spl14_1 ),
inference(resolution,[],[f218,f821]) ).
fof(f1428,plain,
( ! [X0] :
( ~ in(X0,sK9)
| open_subset(X0,sK8) )
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f1427,f214]) ).
fof(f1696,plain,
! [X0] :
( ~ in(X0,sK9)
| element(X0,sF12) ),
inference(resolution,[],[f570,f214]) ).
fof(f1697,plain,
! [X0] :
( ~ in(X0,sF11)
| element(X0,sF12) ),
inference(resolution,[],[f570,f623]) ).
fof(f2203,plain,
sK9 = complements_of_subsets(sF10,complements_of_subsets(sF10,sK9)),
inference(resolution,[],[f637,f214]) ).
fof(f2206,plain,
sK9 = complements_of_subsets(sF10,sF11),
inference(forward_demodulation,[],[f2203,f207]) ).
fof(f2571,plain,
! [X0] :
( ~ in(X0,sF11)
| ~ element(sK9,sF13)
| in(subset_complement(sF10,X0),sK9) ),
inference(superposition,[],[f655,f207]) ).
fof(f2572,plain,
! [X0] :
( ~ in(X0,sK9)
| ~ element(sF11,sF13)
| in(subset_complement(sF10,X0),sF11) ),
inference(superposition,[],[f655,f2206]) ).
fof(f2579,plain,
! [X0] :
( in(subset_complement(sF10,X0),sF11)
| ~ in(X0,sK9) ),
inference(forward_subsumption_resolution,[],[f2572,f623]) ).
fof(f2580,plain,
! [X0] :
( in(subset_complement(sF10,X0),sK9)
| ~ in(X0,sF11) ),
inference(forward_subsumption_resolution,[],[f2571,f214]) ).
fof(f2771,plain,
( ! [X0] :
( open_subset(subset_complement(sF10,X0),sK8)
| ~ in(X0,sF11) )
| ~ spl14_1 ),
inference(resolution,[],[f2580,f1428]) ).
fof(f2903,plain,
( ! [X0] :
( ~ in(X0,sF11)
| ~ element(X0,sF12)
| closed_subset(X0,sK8) )
| ~ spl14_1 ),
inference(resolution,[],[f2771,f1299]) ).
fof(f2908,plain,
( ! [X0] :
( ~ in(X0,sF11)
| closed_subset(X0,sK8) )
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f2903,f1697]) ).
fof(f3295,plain,
( closed_subset(sK1(sK8,sF11),sK8)
| ~ spl14_1
| spl14_2 ),
inference(resolution,[],[f2908,f1425]) ).
fof(f3321,plain,
( ~ element(sF11,sF13)
| closed_subsets(sF11,sK8)
| ~ spl14_1
| spl14_2 ),
inference(resolution,[],[f3295,f759]) ).
fof(f3324,plain,
( closed_subsets(sF11,sK8)
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f3321,f623]) ).
fof(f3325,plain,
( $false
| ~ spl14_1
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f3324,f221]) ).
fof(f3326,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_contradiction_clause,[],[f3325]) ).
fof(f3346,plain,
( in(sK0(sK8,sK9),sK9)
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f682,f217]) ).
fof(f3373,plain,
( ! [X0] :
( ~ in(X0,sF11)
| ~ element(sF11,sF13)
| closed_subset(X0,sK8) )
| ~ spl14_2 ),
inference(resolution,[],[f222,f808]) ).
fof(f3374,plain,
( ! [X0] :
( ~ in(X0,sF11)
| closed_subset(X0,sK8) )
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f3373,f623]) ).
fof(f3755,plain,
( ! [X0] :
( closed_subset(subset_complement(sF10,X0),sK8)
| ~ in(X0,sK9) )
| ~ spl14_2 ),
inference(resolution,[],[f3374,f2579]) ).
fof(f4700,plain,
( ! [X0] :
( ~ in(X0,sK9)
| ~ element(X0,sF12)
| open_subset(X0,sK8) )
| ~ spl14_2 ),
inference(resolution,[],[f3755,f1300]) ).
fof(f4712,plain,
( ! [X0] :
( ~ in(X0,sK9)
| open_subset(X0,sK8) )
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f4700,f1696]) ).
fof(f4988,plain,
( open_subset(sK0(sK8,sK9),sK8)
| spl14_1
| ~ spl14_2 ),
inference(resolution,[],[f4712,f3346]) ).
fof(f4991,plain,
( ~ element(sK9,sF13)
| open_subsets(sK9,sK8)
| spl14_1
| ~ spl14_2 ),
inference(resolution,[],[f4988,f729]) ).
fof(f4994,plain,
( open_subsets(sK9,sK8)
| spl14_1
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f4991,f214]) ).
fof(f4996,plain,
( $false
| spl14_1
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f4994,f217]) ).
fof(f4997,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_contradiction_clause,[],[f4996]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f223]) ).
cnf(s2,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f224]) ).
cnf(s155,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f3326]) ).
cnf(s189,plain,
( spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f4997]) ).
cnf(s200,plain,
spl14_1,
inference(rat,[],[s1,s189]) ).
cnf(s201,plain,
spl14_2,
inference(rat,[],[s155,s200]) ).
cnf(s202,plain,
$false,
inference(rat,[],[s2,s201,s200]) ).
fof(f4998,plain,
$false,
inference(avatar_sat_refutation,[],[s202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU337+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 04:50:18 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.29/0.82 % (2996056)Will run a generic schedule for satisfiability detection.
% 2.29/0.82 % (2996066)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3775922364:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.29/0.82 % (2996062)% WARNING: option uhcvi not known.
% 2.29/0.82 % (2996061)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2757985312_2999 on theBenchmark for (2999ds/0Mi)
% 2.29/0.82 % (2996067)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1337828739:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.29/0.82 % (2996063)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2494878224:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.29/0.82 % (2996064)dis+10_1_sil=32000:sp=arity:random_seed=1302742701:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.29/0.82 % (2996065)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2738667354:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.29/0.82 % (2996062)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1559091843:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.29/0.82 % TRYING [1]
% 2.29/0.82 % TRYING [2]
% 2.29/0.82 % TRYING [3]
% 2.29/0.82 % TRYING [4]
% 2.29/0.82 % TRYING [5]
% 2.29/0.82 % (2996066)Instruction limit reached!
% 2.29/0.82 % (2996066)------------------------------
% 2.29/0.82 % (2996066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.82 % (2996066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.82 % (2996066)CaDiCaL version: 2.1.3
% 2.29/0.82 % (2996066)Termination reason: Instruction limit
% 2.29/0.82 % (2996066)Termination phase: Saturation
% 2.29/0.82 % (2996066)Time elapsed: 0.046 s
% 2.29/0.82 % (2996066)Peak memory usage: 13 MB
% 2.29/0.82 % (2996066)Instructions burned: 133 (million)
% 2.29/0.82 % (2996075)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3273755994:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.29/0.82 % TRYING [1]
% 2.29/0.82 % TRYING [2]
% 2.29/0.82 % TRYING [3]
% 2.29/0.82 % TRYING [6]
% 2.29/0.82 % TRYING [4]
% 2.29/0.82 % TRYING [5]
% 2.29/0.82 % (2996064)Instruction limit reached!
% 2.29/0.82 % (2996064)------------------------------
% 2.29/0.82 % (2996064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.82 % (2996064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.82 % (2996064)CaDiCaL version: 2.1.3
% 2.29/0.82 % (2996064)Termination reason: Instruction limit
% 2.29/0.82 % (2996064)Termination phase: Saturation
% 2.29/0.82 % (2996064)Time elapsed: 0.070 s
% 2.29/0.82 % (2996064)Peak memory usage: 12 MB
% 2.29/0.82 % (2996064)Instructions burned: 103 (million)
% 2.29/0.82 % (2996065)Instruction limit reached!
% 2.29/0.82 % (2996065)------------------------------
% 2.29/0.82 % (2996065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.82 % (2996065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.82 % (2996065)CaDiCaL version: 2.1.3
% 2.29/0.82 % (2996065)Termination reason: Instruction limit
% 2.29/0.82 % (2996065)Termination phase: Saturation
% 2.29/0.82 % (2996065)Time elapsed: 0.077 s
% 2.29/0.82 % (2996065)Peak memory usage: 12 MB
% 2.29/0.82 % (2996065)Instructions burned: 116 (million)
% 2.29/0.82 % TRYING [6]
% 2.29/0.82 % (2996077)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3631800678:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.29/0.82 % (2996078)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=204854284:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.29/0.82 % (2996067)Instruction limit reached!
% 2.29/0.82 % (2996067)------------------------------
% 2.29/0.82 % (2996067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.82 % (2996067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.82 % (2996067)CaDiCaL version: 2.1.3
% 2.29/0.82 % (2996067)Termination reason: Instruction limit
% 2.29/0.82 % (2996067)Termination phase: Saturation
% 2.29/0.82 % (2996067)Time elapsed: 0.110 s
% 2.29/0.82 % (2996067)Peak memory usage: 14 MB
% 2.29/0.82 % (2996067)Instructions burned: 160 (million)
% 2.29/0.82 % TRYING [7]
% 2.29/0.82 % (2996081)ott-21_1_sil=16000:fs=off:random_seed=2493432587:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.29/0.82 % TRYING [7]
% 2.29/0.82 % (2996077)Instruction limit reached!
% 2.29/0.82 % (2996077)------------------------------
% 2.29/0.82 % (2996077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.82 % (2996077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.82 % (2996077)CaDiCaL version: 2.1.3
% 2.29/0.82 % (2996077)Termination reason: Instruction limit
% 2.29/0.82 % (2996077)Termination phase: Saturation
% 2.29/0.82 % (2996077)Time elapsed: 0.083 s
% 2.29/0.82 % (2996077)Peak memory usage: 13 MB
% 2.29/0.82 % (2996077)Instructions burned: 132 (million)
% 2.29/0.82 % (2996083)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2640855268:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.29/0.82 % (2996075)Instruction limit reached!
% 2.29/0.82 % (2996075)------------------------------
% 2.29/0.82 % (2996075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.82 % (2996075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.82 % (2996075)CaDiCaL version: 2.1.3
% 2.29/0.82 % (2996075)Termination reason: Instruction limit
% 2.29/0.82 % (2996075)Termination phase: Finite model building SAT solving
% 2.29/0.82 % (2996075)Time elapsed: 0.165 s
% 2.29/0.82 % (2996075)Peak memory usage: 28 MB
% 2.29/0.82 % (2996075)Instructions burned: 715 (million)
% 2.29/0.82 % (2996081)Instruction limit reached!
% 2.29/0.82 % (2996081)------------------------------
% 2.29/0.82 % (2996081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.82 % (2996081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.82 % (2996081)CaDiCaL version: 2.1.3
% 2.29/0.82 % (2996081)Termination reason: Instruction limit
% 2.29/0.82 % (2996081)Termination phase: Saturation
% 2.29/0.82 % (2996081)Time elapsed: 0.096 s
% 2.29/0.82 % (2996081)Peak memory usage: 12 MB
% 2.29/0.82 % (2996081)Instructions burned: 181 (million)
% 2.29/0.82 % (2996085)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1782239130:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.29/0.82 % TRYING [1]
% 2.29/0.82 % TRYING [2]
% 2.29/0.82 % TRYING [3]
% 2.29/0.82 % (2996086)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=568013957:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.29/0.82 % TRYING [4]
% 2.29/0.82 % TRYING [5]
% 2.29/0.82 % TRYING [6]
% 2.29/0.82 % (2996086) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2996056-2996086"...
% 2.29/0.82 % (2996086)...printing done.
% 2.29/0.82 % (2996086)Refutation found. Thanks to Tanya!
% 2.29/0.82 % SZS status Theorem for theBenchmark
% 2.29/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.83 % (2996086)------------------------------
% 2.29/0.83 % (2996086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.83 % (2996086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.83 % (2996086)CaDiCaL version: 2.1.3
% 2.29/0.83 % (2996086)Termination reason: Refutation
% 2.29/0.83 % (2996086)Time elapsed: 0.130 s
% 2.29/0.83 % (2996086)Peak memory usage: 14 MB
% 2.29/0.83 % (2996086)Instructions burned: 199 (million)
% 2.29/0.83 % (2996056)Success in time 0.411 s
% 2.29/0.83 % Vampire exiting
%------------------------------------------------------------------------------