%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM601+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:15:56 PM UTC 2026
% Result : Theorem 6.67s 1.95s
% Output : Refutation 8.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 12 unt; 4 def)
% Number of atoms : 339 ( 39 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 390 ( 121 ~; 106 |; 131 &)
% ( 9 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn 86 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f75,axiom,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& X1 != szmzizndt0(sdtlpdtrp0(xN,X0)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f97,axiom,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(f98,conjecture,
( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f99,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xO,xS) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f109,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
inference(rectify,[],[f81]) ).
fof(f118,plain,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 ) ),
inference(rectify,[],[f97]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f154,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f218,plain,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f223,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f224,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f223]) ).
fof(f226,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f227,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f226]) ).
fof(f241,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f245,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 )
| ( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X1) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f118]) ).
fof(f246,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xO) )
& ~ aSubsetOf0(xO,xS) ),
inference(ennf_transformation,[],[f99]) ).
fof(f258,definition,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f259,definition,
! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP8(X0)
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ sP9(X0) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f260,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP9(X0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(definition_folding,[],[f224,f259,f258]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f285,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f284]) ).
fof(f286,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f285]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK26(X0,X1),X0)
& aElementOf0(sK26(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0,X1))],[f286]) ).
fof(f360,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP9(X0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ( ~ aElementOf0(sK54(X0),szNzAzT0)
& aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(X1,sK54(X0))],[f260]) ).
fof(f425,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(rectify,[],[f245]) ).
fof(f426,plain,
! [X0] :
( ( aElementOf0(sK70(X0),szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK70(X0))
& aElementOf0(sK70(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sK70(X0)) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(X1,sK70(X0))],[f425]) ).
fof(f427,plain,
( ~ aElementOf0(sK71,xS)
& aElementOf0(sK71,xO)
& ~ aSubsetOf0(xO,xS) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(X0,sK71)],[f246]) ).
fof(f435,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f475,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f482,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f577,plain,
aSet0(xS),
inference(cnf_transformation,[],[f218]) ).
fof(f643,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f360]) ).
fof(f650,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f779,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f810,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK70(X0)) = X0 ),
inference(cnf_transformation,[],[f426]) ).
fof(f816,plain,
! [X0] :
( aElementOf0(sK70(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f426]) ).
fof(f819,plain,
aElementOf0(sK71,xO),
inference(cnf_transformation,[],[f427]) ).
fof(f820,plain,
~ aElementOf0(sK71,xS),
inference(cnf_transformation,[],[f427]) ).
fof(f916,plain,
sK71 = sdtlpdtrp0(xe,sK70(sK71)),
inference(resolution,[],[f810,f819]) ).
fof(f917,plain,
( aElementOf0(sK71,sdtlpdtrp0(xN,sK70(sK71)))
| ~ aElementOf0(sK70(sK71),szNzAzT0) ),
inference(superposition,[],[f779,f916]) ).
fof(f919,definition,
( spl72_7
<=> aElementOf0(sK70(sK71),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl72_7])],[avatar_definition]) ).
fof(f920,plain,
( aElementOf0(sK70(sK71),szNzAzT0)
| ~ spl72_7 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f921,plain,
( ~ aElementOf0(sK70(sK71),szNzAzT0)
| spl72_7 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f923,definition,
( spl72_8
<=> aElementOf0(sK71,sdtlpdtrp0(xN,sK70(sK71))) ),
introduced(definition,[new_symbols(definition,[spl72_8])],[avatar_definition]) ).
fof(f925,plain,
( aElementOf0(sK71,sdtlpdtrp0(xN,sK70(sK71)))
| ~ spl72_8 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f926,plain,
( ~ spl72_7
| spl72_8 ),
inference(avatar_split_clause,[],[f917,f923,f919]) ).
fof(f927,plain,
( ~ aElementOf0(sK71,xO)
| spl72_7 ),
inference(resolution,[],[f921,f816]) ).
fof(f928,plain,
( $false
| spl72_7 ),
inference(forward_subsumption_resolution,[],[f927,f819]) ).
fof(f929,plain,
spl72_7,
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f931,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f650,f643]) ).
fof(f932,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f931,f482]) ).
fof(f934,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f932,f475]) ).
fof(f942,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,xS)
| ~ aSet0(xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f435,f934]) ).
fof(f945,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| aElementOf0(X0,xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f942,f577]) ).
fof(f946,plain,
( aElementOf0(sK71,xS)
| ~ aElementOf0(sK70(sK71),szNzAzT0)
| ~ spl72_8 ),
inference(resolution,[],[f945,f925]) ).
fof(f950,plain,
( ~ aElementOf0(sK70(sK71),szNzAzT0)
| ~ spl72_8 ),
inference(forward_subsumption_resolution,[],[f946,f820]) ).
fof(f951,plain,
( $false
| ~ spl72_7
| ~ spl72_8 ),
inference(forward_subsumption_resolution,[],[f950,f920]) ).
fof(f952,plain,
( ~ spl72_7
| ~ spl72_8 ),
inference(avatar_contradiction_clause,[],[f951]) ).
cnf(s6,plain,
( ~ spl72_7
| spl72_8 ),
inference(sat_conversion,[],[f926]) ).
cnf(s7,plain,
spl72_7,
inference(sat_conversion,[],[f929]) ).
cnf(s8,plain,
( ~ spl72_7
| ~ spl72_8 ),
inference(sat_conversion,[],[f952]) ).
cnf(s9,plain,
~ spl72_8,
inference(rat,[],[s8,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s9,s7]) ).
fof(f953,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM601+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:42:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.67/1.95 % (2379467)Detected formulas, will run a generic FOF schedule.
% 6.67/1.95 % (2379478)dis-21_1_sil=8000:lcm=predicate:random_seed=209992465: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)
% 6.67/1.95 % (2379475)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=347781850:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.67/1.95 % (2379472)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=1573529205:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.67/1.95 % (2379474)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=2764392897:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.67/1.95 % (2379473)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=187443878:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.67/1.95 % (2379477)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3372381340:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.67/1.95 % (2379478)Instruction limit reached!
% 6.67/1.95 % (2379478)------------------------------
% 6.67/1.95 % (2379478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379478)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379478)Termination reason: Instruction limit
% 6.67/1.95 % (2379478)Termination phase: Saturation
% 6.67/1.95 % (2379478)Time elapsed: 0.037 s
% 6.67/1.95 % (2379478)Peak memory usage: 90 MB
% 6.67/1.95 % (2379478)Instructions burned: 130 (million)
% 6.67/1.95 % (2379476)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2323560418:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.67/1.95 % (2379475)Instruction limit reached!
% 6.67/1.95 % (2379475)------------------------------
% 6.67/1.95 % (2379475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379475)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379475)Termination reason: Instruction limit
% 6.67/1.95 % (2379475)Termination phase: Saturation
% 6.67/1.95 % (2379475)Time elapsed: 0.069 s
% 6.67/1.95 % (2379475)Peak memory usage: 90 MB
% 6.67/1.95 % (2379475)Instructions burned: 110 (million)
% 6.67/1.95 % (2379477)Instruction limit reached!
% 6.67/1.95 % (2379477)------------------------------
% 6.67/1.95 % (2379477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379477)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379477)Termination reason: Instruction limit
% 6.67/1.95 % (2379477)Termination phase: Saturation
% 6.67/1.95 % (2379477)Time elapsed: 0.081 s
% 6.67/1.95 % (2379477)Peak memory usage: 90 MB
% 6.67/1.95 % (2379477)Instructions burned: 139 (million)
% 6.67/1.95 % (2379485)lrs+10_1_sil=8000:sp=occurrence:random_seed=519505602:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.67/1.95 % (2379476)Instruction limit reached!
% 6.67/1.95 % (2379476)------------------------------
% 6.67/1.95 % (2379476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379476)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379476)Termination reason: Instruction limit
% 6.67/1.95 % (2379476)Termination phase: Saturation
% 6.67/1.95 % (2379476)Time elapsed: 0.077 s
% 6.67/1.95 % (2379476)Peak memory usage: 89 MB
% 6.67/1.95 % (2379476)Instructions burned: 119 (million)
% 6.67/1.95 % (2379485)Instruction limit reached!
% 6.67/1.95 % (2379485)------------------------------
% 6.67/1.95 % (2379485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379485)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379485)Termination reason: Instruction limit
% 6.67/1.95 % (2379485)Termination phase: Saturation
% 6.67/1.95 % (2379485)Time elapsed: 0.096 s
% 6.67/1.95 % (2379485)Peak memory usage: 92 MB
% 6.67/1.95 % (2379485)Instructions burned: 287 (million)
% 6.67/1.95 % (2379487)lrs+10_1_sil=32000:urr=on:br=off:random_seed=438239663:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.67/1.95 % (2379487)Refutation not found, incomplete strategy
% 6.67/1.95 % (2379487)------------------------------
% 6.67/1.95 % (2379487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379487)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379487)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.95 % (2379487)Time elapsed: 0.011 s
% 6.67/1.95 % (2379487)Peak memory usage: 89 MB
% 6.67/1.95 % (2379487)Instructions burned: 16 (million)
% 6.67/1.95 % (2379489)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3570539203:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.67/1.95 % (2379490)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=1173376569:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.67/1.95 % (2379491)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=574887800:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.67/1.95 % (2379489)Instruction limit reached!
% 6.67/1.95 % (2379489)------------------------------
% 6.67/1.95 % (2379489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379489)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379489)Termination reason: Instruction limit
% 6.67/1.95 % (2379489)Termination phase: Saturation
% 6.67/1.95 % (2379489)Time elapsed: 0.129 s
% 6.67/1.95 % (2379489)Peak memory usage: 89 MB
% 6.67/1.95 % (2379489)Instructions burned: 327 (million)
% 6.67/1.95 % (2379491)Instruction limit reached!
% 6.67/1.95 % (2379491)------------------------------
% 6.67/1.95 % (2379491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379491)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379491)Termination reason: Instruction limit
% 6.67/1.95 % (2379491)Termination phase: Saturation
% 6.67/1.95 % (2379491)Time elapsed: 0.094 s
% 6.67/1.95 % (2379491)Peak memory usage: 90 MB
% 6.67/1.95 % (2379491)Instructions burned: 296 (million)
% 6.67/1.95 % (2379490)Instruction limit reached!
% 6.67/1.95 % (2379490)------------------------------
% 6.67/1.95 % (2379490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379490)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379490)Termination reason: Instruction limit
% 6.67/1.95 % (2379490)Termination phase: Saturation
% 6.67/1.95 % (2379490)Time elapsed: 0.153 s
% 6.67/1.95 % (2379490)Peak memory usage: 92 MB
% 6.67/1.95 % (2379490)Instructions burned: 249 (million)
% 6.67/1.95 % (2379487)------------------------------
% 6.67/1.95 % (2379487)------------------------------
% 6.67/1.95 % (2379497)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3325696242:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.67/1.95 % (2379496)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4156085934:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.67/1.95 % (2379497)Instruction limit reached!
% 6.67/1.95 % (2379497)------------------------------
% 6.67/1.95 % (2379497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379497)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379497)Termination reason: Instruction limit
% 6.67/1.95 % (2379497)Termination phase: Saturation
% 6.67/1.95 % (2379497)Time elapsed: 0.040 s
% 6.67/1.95 % (2379497)Peak memory usage: 91 MB
% 6.67/1.95 % (2379497)Instructions burned: 115 (million)
% 6.67/1.95 % (2379498)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1550496313:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.67/1.95 % (2379498)Instruction limit reached!
% 6.67/1.95 % (2379498)------------------------------
% 6.67/1.95 % (2379498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379498)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379498)Termination reason: Instruction limit
% 6.67/1.95 % (2379498)Termination phase: Saturation
% 6.67/1.95 % (2379498)Time elapsed: 0.069 s
% 6.67/1.95 % (2379498)Peak memory usage: 89 MB
% 6.67/1.95 % (2379498)Instructions burned: 127 (million)
% 6.67/1.95 % (2379502)lrs+10_1_sil=8000:sp=occurrence:random_seed=617021906:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.67/1.95 % (2379500)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1306882314:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.67/1.95 % (2379500)Instruction limit reached!
% 6.67/1.95 % (2379500)------------------------------
% 6.67/1.95 % (2379500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379500)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379500)Termination reason: Instruction limit
% 6.67/1.95 % (2379500)Termination phase: Saturation
% 6.67/1.95 % (2379500)Time elapsed: 0.074 s
% 6.67/1.95 % (2379500)Peak memory usage: 89 MB
% 6.67/1.95 % (2379500)Instructions burned: 115 (million)
% 6.67/1.95 % (2379472)First to succeed.
% 6.67/1.95 % (2379472)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2379467"
% 6.67/1.95 % (2379504)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1907639479:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.67/1.95 % (2379507)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2396919594:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.67/1.95 % (2379502)Instruction limit reached!
% 6.67/1.95 % (2379502)------------------------------
% 6.67/1.95 % (2379502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (2379502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (2379502)CaDiCaL version: 2.1.3
% 6.67/1.95 % (2379502)Termination reason: Instruction limit
% 6.67/1.95 % (2379502)Termination phase: Saturation
% 6.67/1.95 % (2379502)Time elapsed: 0.297 s
% 6.67/1.95 % (2379502)Peak memory usage: 99 MB
% 6.67/1.95 % (2379502)Instructions burned: 909 (million)
% 6.67/1.95 % (2379472)Refutation found. Thanks to Tanya!
% 6.67/1.95 % SZS status Theorem for theBenchmark
% 6.67/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.24/2.05 % (2379472)------------------------------
% 8.24/2.05 % (2379472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.24/2.05 % (2379472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.05 % (2379472)CaDiCaL version: 2.1.3
% 8.24/2.05 % (2379472)Termination reason: Refutation
% 8.24/2.05 % (2379472)Time elapsed: 0.687 s
% 8.24/2.05 % (2379472)Peak memory usage: 132 MB
% 8.24/2.05 % (2379472)Instructions burned: 1041 (million)
% 8.24/2.05 % (2379472)------------------------------
% 8.24/2.05 % (2379472)------------------------------
% 8.24/2.05 % (2379467)Success in time 1.094 s
% 8.24/2.05 % Vampire exiting
%------------------------------------------------------------------------------