%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM570+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:47 PM UTC 2026
% Result : Theorem 10.68s 2.68s
% Output : Refutation 12.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 108 ( 16 unt; 10 def)
% Number of atoms : 467 ( 54 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 561 ( 202 ~; 188 |; 136 &)
% ( 14 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 10 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 82 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
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(f82,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3702) ).
fof(f83,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( iLess0(X0,xi)
=> ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f84,conjecture,
( xi != sz00
=> ( ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi )
& ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f85,negated_conjecture,
~ ( xi != sz00
=> ( ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi )
& ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(negated_conjecture,[status(cth)],[f84]) ).
fof(f95,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(f96,plain,
~ ( xi != sz00
=> ( ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi )
& ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(rectify,[],[f85]) ).
fof(f129,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f130,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f129]) ).
fof(f144,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f201,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,[],[f95]) ).
fof(f202,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,[],[f201]) ).
fof(f203,plain,
! [X0] :
( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f204,plain,
! [X0] :
( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
( ( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi )
| ( ( ~ aSet0(sdtlpdtrp0(xN,xi))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,xi)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& xi != sz00 ),
inference(ennf_transformation,[],[f96]) ).
fof(f210,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))))
& ! [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))) )
| ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f211,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP3(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,[],[f202,f210]) ).
fof(f228,plain,
! [X0] :
( X0 = sz00
| ( aElementOf0(sK8(X0),szNzAzT0)
& szszuzczcdt0(sK8(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f130]) ).
fof(f280,plain,
! [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 )
& ( ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,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))) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f210]) ).
fof(f281,plain,
! [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 )
& ( ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,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))) )
| ~ sP3(X0) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X2 )
& ( ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 )
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ sP3(X0) ),
inference(rectify,[],[f281]) ).
fof(f283,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP3(X0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ( ~ aElementOf0(sK33(X0),szNzAzT0)
& aElementOf0(sK33(X0),sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X1,sK33(X0))],[f211]) ).
fof(f284,plain,
( ( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi )
| ( ( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( ~ aElementOf0(sK34,szNzAzT0)
& aElementOf0(sK34,sdtlpdtrp0(xN,xi)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& xi != sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X1,sK34)],[f205]) ).
fof(f330,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f228]) ).
fof(f331,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f342,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f484,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f486,plain,
! [X3,X0] :
( ~ sP3(X0)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f282]) ).
fof(f487,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f489,plain,
! [X2,X0] :
( ~ sP3(X0)
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X2,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f282]) ).
fof(f495,plain,
! [X0] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| sP3(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f501,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f82]) ).
fof(f502,plain,
! [X0] :
( ~ iLess0(X0,xi)
| isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f503,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f504,plain,
! [X0,X1] :
( ~ iLess0(X0,xi)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f506,plain,
sz00 != xi,
inference(cnf_transformation,[],[f284]) ).
fof(f508,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi
| ~ aSet0(sdtlpdtrp0(xN,xi))
| aElementOf0(sK34,sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f284]) ).
fof(f509,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(sK34,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f284]) ).
fof(f564,definition,
( spl35_1
<=> isCountable0(sdtlpdtrp0(xN,xi)) ),
introduced(definition,[new_symbols(definition,[spl35_1])],[avatar_definition]) ).
fof(f570,definition,
( spl35_3
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi ) ),
introduced(definition,[new_symbols(definition,[spl35_3])],[avatar_definition]) ).
fof(f571,plain,
( ! [X0] :
( szszuzczcdt0(X0) != xi
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl35_3 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl35_4
<=> aElementOf0(sK34,sdtlpdtrp0(xN,xi)) ),
introduced(definition,[new_symbols(definition,[spl35_4])],[avatar_definition]) ).
fof(f575,plain,
( aElementOf0(sK34,sdtlpdtrp0(xN,xi))
| ~ spl35_4 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,definition,
( spl35_5
<=> aSet0(sdtlpdtrp0(xN,xi)) ),
introduced(definition,[new_symbols(definition,[spl35_5])],[avatar_definition]) ).
fof(f579,plain,
( ~ spl35_1
| spl35_4
| ~ spl35_5
| spl35_3 ),
inference(avatar_split_clause,[],[f508,f570,f577,f574,f564]) ).
fof(f581,definition,
( spl35_6
<=> aElementOf0(sK34,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl35_6])],[avatar_definition]) ).
fof(f582,plain,
( ~ aElementOf0(sK34,szNzAzT0)
| spl35_6 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( ~ spl35_1
| ~ spl35_6
| ~ spl35_5
| spl35_3 ),
inference(avatar_split_clause,[],[f509,f570,f577,f581,f564]) ).
fof(f598,plain,
( xi = szszuzczcdt0(sK8(xi))
| sz00 = xi ),
inference(resolution,[],[f330,f501]) ).
fof(f601,plain,
xi = szszuzczcdt0(sK8(xi)),
inference(forward_subsumption_resolution,[],[f598,f506]) ).
fof(f602,plain,
( aSet0(sdtlpdtrp0(xN,xi))
| ~ sP3(sK8(xi)) ),
inference(superposition,[],[f487,f601]) ).
fof(f603,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ sP3(sK8(xi)) ),
inference(superposition,[],[f484,f601]) ).
fof(f606,definition,
( spl35_10
<=> sP3(sK8(xi)) ),
introduced(definition,[new_symbols(definition,[spl35_10])],[avatar_definition]) ).
fof(f609,plain,
( ~ spl35_10
| spl35_5 ),
inference(avatar_split_clause,[],[f602,f577,f606]) ).
fof(f611,plain,
! [X0] :
( sP3(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f495,f503]) ).
fof(f613,plain,
! [X0] :
( sP3(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ iLess0(X0,xi) ),
inference(duplicate_literal_removal,[],[f611]) ).
fof(f615,plain,
! [X0] :
( ~ iLess0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0)
| sP3(X0) ),
inference(forward_subsumption_resolution,[],[f613,f502]) ).
fof(f637,plain,
( iLess0(sK8(xi),xi)
| ~ aElementOf0(sK8(xi),szNzAzT0) ),
inference(superposition,[],[f342,f601]) ).
fof(f639,definition,
( spl35_13
<=> aElementOf0(sK8(xi),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl35_13])],[avatar_definition]) ).
fof(f640,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| spl35_13 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f642,definition,
( spl35_14
<=> iLess0(sK8(xi),xi) ),
introduced(definition,[new_symbols(definition,[spl35_14])],[avatar_definition]) ).
fof(f643,plain,
( iLess0(sK8(xi),xi)
| ~ spl35_14 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( ~ spl35_13
| spl35_14 ),
inference(avatar_split_clause,[],[f637,f642,f639]) ).
fof(f646,plain,
( sz00 = xi
| ~ aElementOf0(xi,szNzAzT0)
| spl35_13 ),
inference(resolution,[],[f640,f331]) ).
fof(f648,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl35_13 ),
inference(forward_subsumption_resolution,[],[f646,f506]) ).
fof(f649,plain,
( $false
| spl35_13 ),
inference(forward_subsumption_resolution,[],[f648,f501]) ).
fof(f650,plain,
spl35_13,
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f651,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK8(xi),szNzAzT0) )
| ~ spl35_14 ),
inference(resolution,[],[f643,f504]) ).
fof(f652,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| sP3(sK8(xi))
| ~ spl35_14 ),
inference(resolution,[],[f643,f615]) ).
fof(f665,definition,
( spl35_17
<=> ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| aElementOf0(X0,szNzAzT0) ) ),
introduced(definition,[new_symbols(definition,[spl35_17])],[avatar_definition]) ).
fof(f666,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| aElementOf0(X0,szNzAzT0) )
| ~ spl35_17 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f667,plain,
( ~ spl35_13
| spl35_17
| ~ spl35_14 ),
inference(avatar_split_clause,[],[f651,f642,f665,f639]) ).
fof(f669,plain,
( sP3(sK8(xi))
| ~ spl35_10 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f670,plain,
( spl35_10
| ~ spl35_13
| ~ spl35_14 ),
inference(avatar_split_clause,[],[f652,f642,f639,f606]) ).
fof(f672,plain,
( ~ spl35_10
| spl35_1 ),
inference(avatar_split_clause,[],[f603,f564,f606]) ).
fof(f673,plain,
( xi != xi
| ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ spl35_3 ),
inference(superposition,[],[f571,f601]) ).
fof(f674,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| ~ spl35_3 ),
inference(trivial_inequality_removal,[],[f673]) ).
fof(f675,plain,
( ~ spl35_13
| ~ spl35_3 ),
inference(avatar_split_clause,[],[f674,f570,f639]) ).
fof(f680,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))))
| aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi))) )
| ~ spl35_10 ),
inference(resolution,[],[f669,f489]) ).
fof(f681,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(sK8(xi))))
| aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi))))) )
| ~ spl35_10 ),
inference(resolution,[],[f669,f486]) ).
fof(f682,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK8(xi)),szmzizndt0(sdtlpdtrp0(xN,sK8(xi)))))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
| ~ spl35_10 ),
inference(forward_demodulation,[],[f681,f601]) ).
fof(f683,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,sK8(xi)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
| ~ spl35_10 ),
inference(resolution,[],[f680,f682]) ).
fof(f684,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,szNzAzT0) )
| ~ spl35_10
| ~ spl35_17 ),
inference(resolution,[],[f683,f666]) ).
fof(f686,plain,
( aElementOf0(sK34,szNzAzT0)
| ~ spl35_4
| ~ spl35_10
| ~ spl35_17 ),
inference(resolution,[],[f684,f575]) ).
fof(f688,plain,
( $false
| ~ spl35_4
| spl35_6
| ~ spl35_10
| ~ spl35_17 ),
inference(forward_subsumption_resolution,[],[f686,f582]) ).
fof(f689,plain,
( ~ spl35_4
| spl35_6
| ~ spl35_10
| ~ spl35_17 ),
inference(avatar_contradiction_clause,[],[f688]) ).
cnf(s2,plain,
( ~ spl35_1
| spl35_3
| spl35_4
| ~ spl35_5 ),
inference(sat_conversion,[],[f579]) ).
cnf(s3,plain,
( ~ spl35_1
| spl35_3
| ~ spl35_5
| ~ spl35_6 ),
inference(sat_conversion,[],[f583]) ).
cnf(s7,plain,
( spl35_5
| ~ spl35_10 ),
inference(sat_conversion,[],[f609]) ).
cnf(s10,plain,
( ~ spl35_13
| spl35_14 ),
inference(sat_conversion,[],[f644]) ).
cnf(s12,plain,
spl35_13,
inference(sat_conversion,[],[f650]) ).
cnf(s15,plain,
( ~ spl35_13
| ~ spl35_14
| spl35_17 ),
inference(sat_conversion,[],[f667]) ).
cnf(s17,plain,
( spl35_10
| ~ spl35_13
| ~ spl35_14 ),
inference(sat_conversion,[],[f670]) ).
cnf(s18,plain,
( spl35_1
| ~ spl35_10 ),
inference(sat_conversion,[],[f672]) ).
cnf(s19,plain,
( ~ spl35_3
| ~ spl35_13 ),
inference(sat_conversion,[],[f675]) ).
cnf(s21,plain,
( ~ spl35_4
| spl35_6
| ~ spl35_10
| ~ spl35_17 ),
inference(sat_conversion,[],[f689]) ).
cnf(s22,plain,
~ spl35_3,
inference(rat,[],[s19,s12]) ).
cnf(s23,plain,
spl35_14,
inference(rat,[],[s10,s12]) ).
cnf(s24,plain,
spl35_17,
inference(rat,[],[s15,s12,s23]) ).
cnf(s27,plain,
spl35_10,
inference(rat,[],[s17,s12,s23]) ).
cnf(s28,plain,
spl35_1,
inference(rat,[],[s18,s27]) ).
cnf(s29,plain,
spl35_5,
inference(rat,[],[s7,s27]) ).
cnf(s32,plain,
~ spl35_6,
inference(rat,[],[s3,s29,s22,s28]) ).
cnf(s33,plain,
~ spl35_4,
inference(rat,[],[s21,s24,s27,s32]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s2,s29,s33,s22,s28]) ).
fof(f690,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM570+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:32:59 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 10.68/2.68 % (3289562)Detected formulas, will run a generic FOF schedule.
% 10.68/2.68 % (3289578)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=137151740:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.68/2.68 % (3289578)Instruction limit reached!
% 10.68/2.68 % (3289578)------------------------------
% 10.68/2.68 % (3289578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289578)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289578)Termination reason: Instruction limit
% 10.68/2.68 % (3289578)Termination phase: Saturation
% 10.68/2.68 % (3289578)Time elapsed: 0.064 s
% 10.68/2.68 % (3289578)Peak memory usage: 90 MB
% 10.68/2.68 % (3289578)Instructions burned: 110 (million)
% 10.68/2.68 % (3289580)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2222741267:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.68/2.68 % (3289579)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2158498701:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.68/2.68 % (3289577)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=3826148870:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.68/2.68 % (3289576)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=1663537013:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.68/2.68 % (3289581)dis-21_1_sil=8000:lcm=predicate:random_seed=379220030: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)
% 10.68/2.68 % (3289575)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=4254516692:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.68/2.68 % (3289579)Instruction limit reached!
% 10.68/2.68 % (3289579)------------------------------
% 10.68/2.68 % (3289579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289579)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289579)Termination reason: Instruction limit
% 10.68/2.68 % (3289579)Termination phase: Saturation
% 10.68/2.68 % (3289579)Time elapsed: 0.067 s
% 10.68/2.68 % (3289579)Peak memory usage: 88 MB
% 10.68/2.68 % (3289579)Instructions burned: 120 (million)
% 10.68/2.68 % (3289581)Instruction limit reached!
% 10.68/2.68 % (3289581)------------------------------
% 10.68/2.68 % (3289581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289581)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289581)Termination reason: Instruction limit
% 10.68/2.68 % (3289581)Termination phase: Saturation
% 10.68/2.68 % (3289581)Time elapsed: 0.131 s
% 10.68/2.68 % (3289581)Peak memory usage: 90 MB
% 10.68/2.68 % (3289581)Instructions burned: 129 (million)
% 10.68/2.68 % (3289589)lrs+10_1_sil=8000:sp=occurrence:random_seed=3024380933:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.68/2.68 % (3289580)Instruction limit reached!
% 10.68/2.68 % (3289580)------------------------------
% 10.68/2.68 % (3289580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289580)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289580)Termination reason: Instruction limit
% 10.68/2.68 % (3289580)Termination phase: Saturation
% 10.68/2.68 % (3289580)Time elapsed: 0.154 s
% 10.68/2.68 % (3289580)Peak memory usage: 90 MB
% 10.68/2.68 % (3289580)Instructions burned: 139 (million)
% 10.68/2.68 % (3289594)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1760358997:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.68/2.68 % (3289595)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3505383794:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.68/2.68 % (3289589)Instruction limit reached!
% 10.68/2.68 % (3289589)------------------------------
% 10.68/2.68 % (3289589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289589)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289589)Termination reason: Instruction limit
% 10.68/2.68 % (3289589)Termination phase: Saturation
% 10.68/2.68 % (3289589)Time elapsed: 0.163 s
% 10.68/2.68 % (3289589)Peak memory usage: 92 MB
% 10.68/2.68 % (3289589)Instructions burned: 285 (million)
% 10.68/2.68 % (3289597)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=1653169857:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.68/2.68 % (3289594)Instruction limit reached!
% 10.68/2.68 % (3289594)------------------------------
% 10.68/2.68 % (3289594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289594)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289594)Termination reason: Instruction limit
% 10.68/2.68 % (3289594)Termination phase: Saturation
% 10.68/2.68 % (3289594)Time elapsed: 0.149 s
% 10.68/2.68 % (3289594)Peak memory usage: 90 MB
% 10.68/2.68 % (3289594)Instructions burned: 157 (million)
% 10.68/2.68 % (3289604)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3468868082:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.68/2.68 % (3289606)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=357386030:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.68/2.68 % (3289604)Instruction limit reached!
% 10.68/2.68 % (3289604)------------------------------
% 10.68/2.68 % (3289604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289604)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289604)Termination reason: Instruction limit
% 10.68/2.68 % (3289604)Termination phase: Saturation
% 10.68/2.68 % (3289604)Time elapsed: 0.168 s
% 10.68/2.68 % (3289604)Peak memory usage: 90 MB
% 10.68/2.68 % (3289604)Instructions burned: 295 (million)
% 10.68/2.68 % (3289597)Instruction limit reached!
% 10.68/2.68 % (3289597)------------------------------
% 10.68/2.68 % (3289597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289597)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289597)Termination reason: Instruction limit
% 10.68/2.68 % (3289597)Termination phase: Saturation
% 10.68/2.68 % (3289597)Time elapsed: 0.256 s
% 10.68/2.68 % (3289597)Peak memory usage: 92 MB
% 10.68/2.68 % (3289597)Instructions burned: 248 (million)
% 10.68/2.68 % (3289595)Instruction limit reached!
% 10.68/2.68 % (3289595)------------------------------
% 10.68/2.68 % (3289595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289595)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289595)Termination reason: Instruction limit
% 10.68/2.68 % (3289595)Termination phase: Saturation
% 10.68/2.68 % (3289595)Time elapsed: 0.352 s
% 10.68/2.68 % (3289595)Peak memory usage: 92 MB
% 10.68/2.68 % (3289595)Instructions burned: 325 (million)
% 10.68/2.68 % (3289609)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=44950069:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 10.68/2.68 % (3289610)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=940870411:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.68/2.68 % (3289609)Instruction limit reached!
% 10.68/2.68 % (3289609)------------------------------
% 10.68/2.68 % (3289609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289609)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289609)Termination reason: Instruction limit
% 10.68/2.68 % (3289609)Termination phase: Saturation
% 10.68/2.68 % (3289609)Time elapsed: 0.065 s
% 10.68/2.68 % (3289609)Peak memory usage: 90 MB
% 10.68/2.68 % (3289609)Instructions burned: 114 (million)
% 10.68/2.68 % (3289611)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2932945197:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 10.68/2.68 % (3289610)Instruction limit reached!
% 10.68/2.68 % (3289610)------------------------------
% 10.68/2.68 % (3289610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289610)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289610)Termination reason: Instruction limit
% 10.68/2.68 % (3289610)Termination phase: Saturation
% 10.68/2.68 % (3289610)Time elapsed: 0.114 s
% 10.68/2.68 % (3289610)Peak memory usage: 89 MB
% 10.68/2.68 % (3289610)Instructions burned: 127 (million)
% 10.68/2.68 % (3289611)Instruction limit reached!
% 10.68/2.68 % (3289611)------------------------------
% 10.68/2.68 % (3289611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68 % (3289611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68 % (3289611)CaDiCaL version: 2.1.3
% 10.68/2.68 % (3289611)Termination reason: Instruction limit
% 10.68/2.68 % (3289611)Termination phase: Saturation
% 10.68/2.68 % (3289611)Time elapsed: 0.108 s
% 10.68/2.68 % (3289611)Peak memory usage: 89 MB
% 10.68/2.68 % (3289611)Instructions burned: 114 (million)
% 10.68/2.68 % (3289576)First to succeed.
% 10.68/2.68 % (3289576)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3289562"
% 10.68/2.68 % (3289575)Also succeeded, but the first one will report.
% 10.68/2.68 % (3289614)lrs+10_1_sil=8000:sp=occurrence:random_seed=2952663960:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.68/2.68 % (3289616)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2936529416:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 10.68/2.68 % (3289577)Also succeeded, but the first one will report.
% 10.68/2.68 % (3289619)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3135488968:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 10.68/2.68 % (3289576)Refutation found. Thanks to Tanya!
% 10.68/2.68 % SZS status Theorem for theBenchmark
% 10.68/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 12.68/2.88 % (3289576)------------------------------
% 12.68/2.88 % (3289576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.88 % (3289576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.88 % (3289576)CaDiCaL version: 2.1.3
% 12.68/2.88 % (3289576)Termination reason: Refutation
% 12.68/2.88 % (3289576)Time elapsed: 1.070 s
% 12.68/2.88 % (3289576)Peak memory usage: 132 MB
% 12.68/2.88 % (3289576)Instructions burned: 1014 (million)
% 12.68/2.88 % (3289576)------------------------------
% 12.68/2.88 % (3289576)------------------------------
% 12.68/2.88 % (3289562)Success in time 1.706 s
% 12.68/2.88 % Vampire exiting
%------------------------------------------------------------------------------