%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM573+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 : n014.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 12:15:48 PM UTC 2026
% Result : Theorem 7.35s 2.28s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 102 ( 25 unt; 7 def)
% Number of atoms : 440 ( 49 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 509 ( 171 ~; 160 |; 142 &)
% ( 7 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 103 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
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,
! [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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).
fof(f84,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( iLess0(X0,xi)
=> ( ! [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(f85,conjecture,
( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f96,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(f97,plain,
~ ( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
inference(rectify,[],[f86]) ).
fof(f139,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f140,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f139]) ).
fof(f143,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f144,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f39]) ).
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(ennf_transformation,[],[f96]) ).
fof(f203,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,[],[f202]) ).
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)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f205,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f206,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
( ? [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xj))
& aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi)
& sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f208,plain,
( ? [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xj))
& aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi)
& sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) ),
inference(flattening,[],[f207]) ).
fof(f220,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(f221,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(f222,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,[],[f203,f221,f220]) ).
fof(f298,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))))
& 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) ),
inference(nnf_transformation,[],[f221]) ).
fof(f299,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))))
& sP8(X0)
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ sP9(X0) ),
inference(rectify,[],[f298]) ).
fof(f300,plain,
! [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)))) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f301,plain,
! [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)))) ) )
| ~ sP8(X0) ),
inference(flattening,[],[f300]) ).
fof(f302,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f301]) ).
fof(f303,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( sP9(X0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ( ~ aElementOf0(sK39(X0),szNzAzT0)
& aElementOf0(sK39(X0),sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X1,sK39(X0))],[f222]) ).
fof(f304,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xj))
& aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi)
& sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) ),
inference(rectify,[],[f208]) ).
fof(f305,plain,
( ~ aElementOf0(sK40,sdtlpdtrp0(xN,xj))
& aElementOf0(sK40,sdtlpdtrp0(xN,xi))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi)
& sdtlseqdt0(xj,xi)
& aElementOf0(sK41,szNzAzT0)
& xi = szszuzczcdt0(sK41) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X0,sK40),skolemize(X1,sK41)],[f304]) ).
fof(f366,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f368,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f369,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f508,plain,
! [X2,X0] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f510,plain,
! [X0] :
( sP8(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f515,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f518,plain,
! [X0] :
( sP9(X0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f524,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f525,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f528,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f529,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f531,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ iLess0(X0,xi)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f532,plain,
xi = szszuzczcdt0(sK41),
inference(cnf_transformation,[],[f305]) ).
fof(f533,plain,
aElementOf0(sK41,szNzAzT0),
inference(cnf_transformation,[],[f305]) ).
fof(f534,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f305]) ).
fof(f537,plain,
aElementOf0(sK40,sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f305]) ).
fof(f538,plain,
~ aElementOf0(sK40,sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f305]) ).
fof(f582,definition,
sF42 = sdtlpdtrp0(xN,xj),
introduced(definition,[new_symbols(definition,[sF42])],[function_definition]) ).
fof(f583,plain,
sdtlpdtrp0(xN,xj) = sF42,
inference(reorient_equations,[],[f582]) ).
fof(f584,plain,
~ aElementOf0(sK40,sF42),
inference(definition_folding,[],[f538,f583]) ).
fof(f585,definition,
sF43 = sdtlpdtrp0(xN,xi),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f586,plain,
sdtlpdtrp0(xN,xi) = sF43,
inference(reorient_equations,[],[f585]) ).
fof(f587,plain,
aElementOf0(sK40,sF43),
inference(definition_folding,[],[f537,f586]) ).
fof(f589,definition,
sF44 = szszuzczcdt0(sK41),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f590,plain,
szszuzczcdt0(sK41) = sF44,
inference(reorient_equations,[],[f589]) ).
fof(f591,plain,
xi = sF44,
inference(definition_folding,[],[f532,f590]) ).
fof(f593,plain,
! [X0] :
( sP9(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f518,f525]) ).
fof(f611,plain,
xi = szszuzczcdt0(sK41),
inference(forward_demodulation,[],[f590,f591]) ).
fof(f612,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP9(X0) ),
inference(forward_subsumption_resolution,[],[f593,f524]) ).
fof(f644,plain,
! [X0] :
( sdtlseqdt0(xi,X0)
| sdtlseqdt0(X0,sK41)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK41,szNzAzT0) ),
inference(superposition,[],[f368,f611]) ).
fof(f646,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK41)
| sdtlseqdt0(xi,X0) ),
inference(forward_subsumption_resolution,[],[f644,f533]) ).
fof(f674,plain,
( iLess0(sK41,xi)
| ~ aElementOf0(sK41,szNzAzT0) ),
inference(superposition,[],[f369,f611]) ).
fof(f675,plain,
iLess0(sK41,xi),
inference(forward_subsumption_resolution,[],[f674,f533]) ).
fof(f676,plain,
( sdtlseqdt0(xj,sK41)
| sdtlseqdt0(xi,xj) ),
inference(resolution,[],[f529,f646]) ).
fof(f678,definition,
( spl45_12
<=> sdtlseqdt0(xi,xj) ),
introduced(definition,[new_symbols(definition,[spl45_12])],[avatar_definition]) ).
fof(f680,plain,
( sdtlseqdt0(xi,xj)
| ~ spl45_12 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f682,definition,
( spl45_13
<=> sdtlseqdt0(xj,sK41) ),
introduced(definition,[new_symbols(definition,[spl45_13])],[avatar_definition]) ).
fof(f684,plain,
( sdtlseqdt0(xj,sK41)
| ~ spl45_13 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f685,plain,
( spl45_12
| spl45_13 ),
inference(avatar_split_clause,[],[f676,f682,f678]) ).
fof(f686,plain,
( ~ sdtlseqdt0(xj,xi)
| xj = xi
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl45_12 ),
inference(resolution,[],[f680,f366]) ).
fof(f687,plain,
( xj = xi
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl45_12 ),
inference(forward_subsumption_resolution,[],[f686,f534]) ).
fof(f688,plain,
( xj = xi
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl45_12 ),
inference(forward_subsumption_resolution,[],[f687,f529]) ).
fof(f689,plain,
( xj = xi
| ~ spl45_12 ),
inference(forward_subsumption_resolution,[],[f688,f528]) ).
fof(f692,plain,
( sdtlpdtrp0(xN,xi) = sF42
| ~ spl45_12 ),
inference(superposition,[],[f583,f689]) ).
fof(f693,plain,
( sF42 = sF43
| ~ spl45_12 ),
inference(forward_demodulation,[],[f692,f586]) ).
fof(f696,plain,
( aElementOf0(sK40,sF42)
| ~ spl45_12 ),
inference(superposition,[],[f587,f693]) ).
fof(f697,plain,
( $false
| ~ spl45_12 ),
inference(forward_subsumption_resolution,[],[f696,f584]) ).
fof(f698,plain,
~ spl45_12,
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f817,plain,
sP9(sK41),
inference(resolution,[],[f612,f533]) ).
fof(f849,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP9(X1)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP8(X1) ),
inference(resolution,[],[f508,f515]) ).
fof(f863,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP9(X1)
| aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(forward_subsumption_resolution,[],[f849,f510]) ).
fof(f864,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ sP9(sK41)
| aElementOf0(X0,sdtlpdtrp0(xN,sK41)) ),
inference(superposition,[],[f863,f611]) ).
fof(f865,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| aElementOf0(X0,sdtlpdtrp0(xN,sK41)) ),
inference(forward_subsumption_resolution,[],[f864,f817]) ).
fof(f866,plain,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,sK41))
| ~ aElementOf0(X0,sF43) ),
inference(forward_demodulation,[],[f865,f586]) ).
fof(f868,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF43)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ iLess0(sK41,xi)
| ~ sdtlseqdt0(X1,sK41)
| ~ aElementOf0(sK41,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(resolution,[],[f866,f531]) ).
fof(f869,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sF43)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,sK41)
| ~ aElementOf0(sK41,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f868,f675]) ).
fof(f870,plain,
! [X0,X1] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,sF43)
| ~ sdtlseqdt0(X1,sK41)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f869,f533]) ).
fof(f874,plain,
! [X0] :
( aElementOf0(X0,sF42)
| ~ aElementOf0(X0,sF43)
| ~ sdtlseqdt0(xj,sK41)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(superposition,[],[f870,f583]) ).
fof(f880,plain,
( ! [X0] :
( aElementOf0(X0,sF42)
| ~ aElementOf0(X0,sF43)
| ~ aElementOf0(xj,szNzAzT0) )
| ~ spl45_13 ),
inference(forward_subsumption_resolution,[],[f874,f684]) ).
fof(f889,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF43)
| aElementOf0(X0,sF42) )
| ~ spl45_13 ),
inference(forward_subsumption_resolution,[],[f880,f529]) ).
fof(f890,plain,
( aElementOf0(sK40,sF42)
| ~ spl45_13 ),
inference(resolution,[],[f889,f587]) ).
fof(f891,plain,
( $false
| ~ spl45_13 ),
inference(forward_subsumption_resolution,[],[f890,f584]) ).
fof(f892,plain,
~ spl45_13,
inference(avatar_contradiction_clause,[],[f891]) ).
cnf(s8,plain,
( spl45_12
| spl45_13 ),
inference(sat_conversion,[],[f685]) ).
cnf(s9,plain,
~ spl45_12,
inference(sat_conversion,[],[f698]) ).
cnf(s22,plain,
~ spl45_13,
inference(sat_conversion,[],[f892]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s8,s22,s9]) ).
fof(f893,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM573+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 20:33:46 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 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
% 7.35/2.28 % (1140374)Detected formulas, will run a generic FOF schedule.
% 7.35/2.28 % (1140379)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=273680008:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.35/2.28 % (1140385)dis-21_1_sil=8000:lcm=predicate:random_seed=816521850: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)
% 7.35/2.28 % (1140383)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1291100639:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.35/2.28 % (1140382)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3154093471:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.35/2.28 % (1140381)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=453364663:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.35/2.28 % (1140380)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=1180306929:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.35/2.28 % (1140384)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=232882632:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.35/2.28 % (1140385)Instruction limit reached!
% 7.35/2.28 % (1140385)------------------------------
% 7.35/2.28 % (1140385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.28 % (1140385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.28 % (1140385)CaDiCaL version: 2.1.3
% 7.35/2.28 % (1140385)Termination reason: Instruction limit
% 7.35/2.28 % (1140385)Termination phase: Saturation
% 7.35/2.28 % (1140385)Time elapsed: 0.123 s
% 7.35/2.28 % (1140385)Peak memory usage: 91 MB
% 7.35/2.28 % (1140385)Instructions burned: 129 (million)
% 7.35/2.28 % (1140383)Instruction limit reached!
% 7.35/2.28 % (1140383)------------------------------
% 7.35/2.28 % (1140383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.28 % (1140383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.28 % (1140383)CaDiCaL version: 2.1.3
% 7.35/2.28 % (1140383)Termination reason: Instruction limit
% 7.35/2.28 % (1140383)Termination phase: Saturation
% 7.35/2.28 % (1140383)Time elapsed: 0.116 s
% 7.35/2.28 % (1140383)Peak memory usage: 89 MB
% 7.35/2.28 % (1140383)Instructions burned: 119 (million)
% 7.35/2.28 % (1140382)Instruction limit reached!
% 7.35/2.28 % (1140382)------------------------------
% 7.35/2.28 % (1140382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.28 % (1140382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.28 % (1140382)CaDiCaL version: 2.1.3
% 7.35/2.28 % (1140382)Termination reason: Instruction limit
% 7.35/2.28 % (1140382)Termination phase: Saturation
% 7.35/2.28 % (1140382)Time elapsed: 0.120 s
% 7.35/2.28 % (1140382)Peak memory usage: 90 MB
% 7.35/2.28 % (1140382)Instructions burned: 110 (million)
% 7.35/2.28 % (1140384)Instruction limit reached!
% 7.35/2.28 % (1140384)------------------------------
% 7.35/2.28 % (1140384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.28 % (1140384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.28 % (1140384)CaDiCaL version: 2.1.3
% 7.35/2.28 % (1140384)Termination reason: Instruction limit
% 7.35/2.28 % (1140384)Termination phase: Saturation
% 7.35/2.28 % (1140384)Time elapsed: 0.153 s
% 7.35/2.28 % (1140384)Peak memory usage: 90 MB
% 7.35/2.28 % (1140384)Instructions burned: 140 (million)
% 7.35/2.28 % (1140393)lrs+10_1_sil=8000:sp=occurrence:random_seed=2955659536:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 7.35/2.28 % (1140395)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1269938740:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.35/2.28 % (1140394)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3590728109:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.35/2.28 % (1140396)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=694862272:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.35/2.28 % (1140379)First to succeed.
% 7.35/2.28 % (1140379)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1140374"
% 7.35/2.28 % (1140393)Instruction limit reached!
% 7.35/2.28 % (1140393)------------------------------
% 7.35/2.28 % (1140393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.28 % (1140393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.28 % (1140393)CaDiCaL version: 2.1.3
% 7.35/2.28 % (1140393)Termination reason: Instruction limit
% 7.35/2.28 % (1140393)Termination phase: Saturation
% 7.35/2.28 % (1140393)Time elapsed: 0.287 s
% 7.35/2.28 % (1140393)Peak memory usage: 92 MB
% 7.35/2.28 % (1140393)Instructions burned: 285 (million)
% 7.35/2.28 % (1140394)Instruction limit reached!
% 7.35/2.28 % (1140394)------------------------------
% 7.35/2.28 % (1140394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.28 % (1140394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.28 % (1140394)CaDiCaL version: 2.1.3
% 7.35/2.28 % (1140394)Termination reason: Instruction limit
% 7.35/2.28 % (1140394)Termination phase: Saturation
% 7.35/2.28 % (1140394)Time elapsed: 0.154 s
% 7.35/2.28 % (1140394)Peak memory usage: 89 MB
% 7.35/2.28 % (1140394)Instructions burned: 157 (million)
% 7.35/2.28 % (1140396)Instruction limit reached!
% 7.35/2.28 % (1140396)------------------------------
% 7.35/2.28 % (1140396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.28 % (1140396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.28 % (1140396)CaDiCaL version: 2.1.3
% 7.35/2.28 % (1140396)Termination reason: Instruction limit
% 7.35/2.28 % (1140396)Termination phase: Saturation
% 7.35/2.28 % (1140396)Time elapsed: 0.232 s
% 7.35/2.28 % (1140396)Peak memory usage: 92 MB
% 7.35/2.28 % (1140396)Instructions burned: 248 (million)
% 7.35/2.28 % (1140379)Refutation found. Thanks to Tanya!
% 7.35/2.28 % SZS status Theorem for theBenchmark
% 7.35/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 8.39/2.56 % (1140379)------------------------------
% 8.39/2.56 % (1140379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/2.56 % (1140379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/2.56 % (1140379)CaDiCaL version: 2.1.3
% 8.39/2.56 % (1140379)Termination reason: Refutation
% 8.39/2.56 % (1140379)Time elapsed: 0.598 s
% 8.39/2.56 % (1140379)Peak memory usage: 132 MB
% 8.39/2.56 % (1140379)Instructions burned: 1026 (million)
% 8.39/2.56 % (1140379)------------------------------
% 8.39/2.56 % (1140379)------------------------------
% 8.39/2.56 % (1140374)Success in time 1.043 s
% 8.39/2.56 % Vampire exiting
%------------------------------------------------------------------------------