%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM596+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:15:55 PM UTC 2026
% Result : Theorem 6.70s 2.03s
% Output : Refutation 8.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 142 ( 25 unt; 8 def)
% Number of atoms : 575 ( 98 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 703 ( 270 ~; 267 |; 126 &)
% ( 24 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 170 ( 0 sgn 150 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f11,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f66,axiom,
! [X0,X1] :
( ( aFunction0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f67,axiom,
! [X0,X1] :
( ( aFunction0(X0)
& aElement0(X1) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isCountable0(szDzozmdt0(X0))
& isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0))) )
=> ( aElement0(szDzizrdt0(X0))
& isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(f73,axiom,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f93,axiom,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4758) ).
fof(f94,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f95,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f112,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X2,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(rectify,[],[f93]) ).
fof(f113,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(flattening,[],[f95]) ).
fof(f115,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f118,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f119,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f121]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f173]) ).
fof(f202,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 ) ) ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f203,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 ) ) ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f205,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f204]) ).
fof(f211,plain,
! [X0] :
( ( aElement0(szDzizrdt0(X0))
& isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0))) )
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f212,plain,
! [X0] :
( ( aElement0(szDzizrdt0(X0))
& isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0))) )
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(flattening,[],[f211]) ).
fof(f237,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f238,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f237]) ).
fof(f239,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X2] :
( aElementOf0(X2,xT)
| ~ aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(ennf_transformation,[],[f112]) ).
fof(f255,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f256,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f255]) ).
fof(f257,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f256]) ).
fof(f258,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK10(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f257]) ).
fof(f259,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,[],[f120]) ).
fof(f260,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,[],[f259]) ).
fof(f261,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,[],[f260]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK11(X0,X1),X0)
& aElementOf0(sK11(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f261]) ).
fof(f276,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f174]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f276]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(rectify,[],[f277]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK16(X0,X1))
& aElementOf0(sK16(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f278]) ).
fof(f297,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtlbdtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(X0))
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,szDzozmdt0(X0))
| sdtlpdtrp0(X0,X3) != X1 )
& ( ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f203]) ).
fof(f298,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtlbdtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(X0))
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,szDzozmdt0(X0))
| sdtlpdtrp0(X0,X3) != X1 )
& ( ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f297]) ).
fof(f299,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtlbdtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(X0))
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X0))
| sdtlpdtrp0(X0,X4) != X1 )
& ( ( aElementOf0(X4,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f298]) ).
fof(f300,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtlbdtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK22(X0,X1,X2),szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK22(X0,X1,X2)) != X1
| ~ aElementOf0(sK22(X0,X1,X2),X2) )
& ( ( aElementOf0(sK22(X0,X1,X2),szDzozmdt0(X0))
& sdtlpdtrp0(X0,sK22(X0,X1,X2)) = X1 )
| aElementOf0(sK22(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,szDzozmdt0(X0))
| sdtlpdtrp0(X0,X4) != X1 )
& ( ( aElementOf0(X4,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X3,sK22(X0,X1,X2))],[f299]) ).
fof(f364,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ~ aElementOf0(sK52(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK52(X0,X1),X1)
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X2,sK52(X0,X1))],[f238]) ).
fof(f365,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X2] :
( aElementOf0(X2,xT)
| ~ aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(nnf_transformation,[],[f239]) ).
fof(f366,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ? [X2] :
( aElementOf0(X2,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X2) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(rectify,[],[f365]) ).
fof(f367,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ( aElementOf0(sK53(X0),szDzozmdt0(xd))
& sdtlpdtrp0(xd,sK53(X0)) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(X2,sK53(X0))],[f366]) ).
fof(f370,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f374,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f375,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f379,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| isFinite0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f407,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f408,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f437,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f279]) ).
fof(f478,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = X1
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f485,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f503,plain,
! [X0] :
( ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f504,plain,
! [X0] :
( ~ isCountable0(szDzozmdt0(X0))
| aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f505,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f506,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f715,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f364]) ).
fof(f716,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f364]) ).
fof(f717,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f367]) ).
fof(f718,plain,
! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X3,xT) ),
inference(cnf_transformation,[],[f367]) ).
fof(f721,plain,
! [X0,X1] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ),
inference(cnf_transformation,[],[f367]) ).
fof(f723,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f113]) ).
fof(f724,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f370]) ).
fof(f726,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f374]) ).
fof(f740,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f437]) ).
fof(f758,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X4) = X1 ),
inference(equality_resolution,[],[f478]) ).
fof(f784,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd)) ),
inference(equality_resolution,[],[f721]) ).
fof(f793,definition,
( spl54_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl54_1])],[avatar_definition]) ).
fof(f794,plain,
( ~ aSet0(slcrc0)
| spl54_1 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f800,definition,
( spl54_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).
fof(f801,plain,
( ~ isCountable0(slcrc0)
| spl54_3 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f802,plain,
( ~ spl54_3
| ~ spl54_1 ),
inference(avatar_split_clause,[],[f726,f793,f800]) ).
fof(f817,plain,
( $false
| spl54_1 ),
inference(forward_subsumption_resolution,[],[f794,f724]) ).
fof(f818,plain,
spl54_1,
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f819,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xd,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xd)) ),
inference(resolution,[],[f718,f784]) ).
fof(f820,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xd,X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f819,f715]) ).
fof(f823,plain,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(superposition,[],[f717,f715]) ).
fof(f949,plain,
( ~ isCountable0(szNzAzT0)
| aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(superposition,[],[f504,f715]) ).
fof(f950,plain,
( aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(forward_subsumption_resolution,[],[f949,f407]) ).
fof(f954,plain,
( aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
inference(forward_subsumption_resolution,[],[f950,f716]) ).
fof(f959,definition,
( spl54_14
<=> isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f960,plain,
( ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| spl54_14 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f962,definition,
( spl54_15
<=> aElement0(szDzizrdt0(xd)) ),
introduced(definition,[new_symbols(definition,[spl54_15])],[avatar_definition]) ).
fof(f963,plain,
( aElement0(szDzizrdt0(xd))
| ~ spl54_15 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f964,plain,
( ~ spl54_14
| spl54_15 ),
inference(avatar_split_clause,[],[f954,f962,f959]) ).
fof(f1007,plain,
( ~ isCountable0(szNzAzT0)
| isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(superposition,[],[f503,f715]) ).
fof(f1337,plain,
( $false
| spl54_14 ),
inference(unit_resulting_resolution,[],[f379,f506,f960,f823,f505]) ).
fof(f1340,plain,
spl54_14,
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1343,plain,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(forward_subsumption_resolution,[],[f1007,f407]) ).
fof(f1344,plain,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
inference(forward_subsumption_resolution,[],[f1343,f716]) ).
fof(f1346,definition,
( spl54_48
<=> isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(definition,[new_symbols(definition,[spl54_48])],[avatar_definition]) ).
fof(f1347,plain,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl54_48 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1348,plain,
( ~ spl54_14
| spl54_48 ),
inference(avatar_split_clause,[],[f1344,f1346,f959]) ).
fof(f1349,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,szDzizrdt0(xd)))
| ~ aFunction0(X1)
| szDzizrdt0(xd) = sdtlpdtrp0(X1,X0) )
| ~ spl54_15 ),
inference(resolution,[],[f963,f758]) ).
fof(f1352,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(X0,szDzizrdt0(xd)),szDzozmdt0(X0))
| ~ aFunction0(X0) )
| ~ spl54_15 ),
inference(resolution,[],[f963,f485]) ).
fof(f1356,plain,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aFunction0(xd)
| ~ spl54_15 ),
inference(superposition,[],[f1352,f715]) ).
fof(f1357,plain,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ spl54_15 ),
inference(forward_subsumption_resolution,[],[f1356,f716]) ).
fof(f1363,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| ~ spl54_15 ),
inference(resolution,[],[f1357,f740]) ).
fof(f1365,definition,
( spl54_49
<=> slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd)) ),
introduced(definition,[new_symbols(definition,[spl54_49])],[avatar_definition]) ).
fof(f1366,plain,
( slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| ~ spl54_49 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f1368,definition,
( spl54_50
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(definition,[new_symbols(definition,[spl54_50])],[avatar_definition]) ).
fof(f1369,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl54_50 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1370,plain,
( spl54_49
| spl54_50
| ~ spl54_15 ),
inference(avatar_split_clause,[],[f1363,f962,f1368,f1365]) ).
fof(f1379,plain,
( isCountable0(slcrc0)
| ~ spl54_48
| ~ spl54_49 ),
inference(superposition,[],[f1347,f1366]) ).
fof(f1383,plain,
( $false
| spl54_3
| ~ spl54_48
| ~ spl54_49 ),
inference(forward_subsumption_resolution,[],[f1379,f801]) ).
fof(f1384,plain,
( spl54_3
| ~ spl54_48
| ~ spl54_49 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1386,plain,
( ~ aFunction0(xd)
| szDzizrdt0(xd) = sdtlpdtrp0(xd,szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ spl54_15
| ~ spl54_50 ),
inference(resolution,[],[f1369,f1349]) ).
fof(f1387,plain,
( szDzizrdt0(xd) = sdtlpdtrp0(xd,szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ spl54_15
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f1386,f716]) ).
fof(f1411,plain,
( aElementOf0(szDzizrdt0(xd),xT)
| ~ aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ spl54_15
| ~ spl54_50 ),
inference(superposition,[],[f820,f1387]) ).
fof(f1414,plain,
( ~ aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ spl54_15
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f1411,f723]) ).
fof(f1416,definition,
( spl54_57
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl54_57])],[avatar_definition]) ).
fof(f1417,plain,
( ~ aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| spl54_57 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1423,plain,
( ~ spl54_57
| ~ spl54_15
| ~ spl54_50 ),
inference(avatar_split_clause,[],[f1414,f1368,f962,f1416]) ).
fof(f1471,plain,
( $false
| ~ spl54_15
| ~ spl54_50
| spl54_57 ),
inference(unit_resulting_resolution,[],[f375,f408,f1357,f1369,f1417]) ).
fof(f1472,plain,
( ~ spl54_15
| ~ spl54_50
| spl54_57 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
cnf(s2,plain,
( ~ spl54_1
| ~ spl54_3 ),
inference(sat_conversion,[],[f802]) ).
cnf(s5,plain,
spl54_1,
inference(sat_conversion,[],[f818]) ).
cnf(s13,plain,
( ~ spl54_14
| spl54_15 ),
inference(sat_conversion,[],[f964]) ).
cnf(s36,plain,
spl54_14,
inference(sat_conversion,[],[f1340]) ).
cnf(s37,plain,
( ~ spl54_14
| spl54_48 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s38,plain,
( ~ spl54_15
| spl54_49
| spl54_50 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s40,plain,
( spl54_3
| ~ spl54_48
| ~ spl54_49 ),
inference(sat_conversion,[],[f1384]) ).
cnf(s44,plain,
( ~ spl54_15
| ~ spl54_50
| ~ spl54_57 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s50,plain,
( ~ spl54_15
| ~ spl54_50
| spl54_57 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s51,plain,
spl54_48,
inference(rat,[],[s37,s36]) ).
cnf(s52,plain,
spl54_15,
inference(rat,[],[s13,s36]) ).
cnf(s55,plain,
~ spl54_3,
inference(rat,[],[s2,s5]) ).
cnf(s56,plain,
~ spl54_49,
inference(rat,[],[s40,s51,s55]) ).
cnf(s58,plain,
spl54_50,
inference(rat,[],[s38,s52,s56]) ).
cnf(s60,plain,
spl54_57,
inference(rat,[],[s50,s52,s58]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s44,s52,s60,s58]) ).
fof(f1473,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM596+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 20:45:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.70/2.03 % (2972269)Detected formulas, will run a generic FOF schedule.
% 6.70/2.03 % (2972278)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=89233537:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.70/2.03 % (2972278)Instruction limit reached!
% 6.70/2.03 % (2972278)------------------------------
% 6.70/2.03 % (2972278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972278)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972278)Termination reason: Instruction limit
% 6.70/2.03 % (2972278)Termination phase: Saturation
% 6.70/2.03 % (2972278)Time elapsed: 0.034 s
% 6.70/2.03 % (2972278)Peak memory usage: 89 MB
% 6.70/2.03 % (2972278)Instructions burned: 123 (million)
% 6.70/2.03 % (2972276)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=1925783560:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.70/2.03 % (2972275)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=579112237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.70/2.03 % (2972274)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=3692459822:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.70/2.03 % (2972280)dis-21_1_sil=8000:lcm=predicate:random_seed=2428279828: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)
% 6.70/2.03 % (2972277)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=305135847:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.70/2.03 % (2972279)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3654066833:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.70/2.03 % (2972280)Instruction limit reached!
% 6.70/2.03 % (2972280)------------------------------
% 6.70/2.03 % (2972280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972280)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972280)Termination reason: Instruction limit
% 6.70/2.03 % (2972280)Termination phase: Saturation
% 6.70/2.03 % (2972280)Time elapsed: 0.068 s
% 6.70/2.03 % (2972280)Peak memory usage: 90 MB
% 6.70/2.03 % (2972280)Instructions burned: 130 (million)
% 6.70/2.03 % (2972277)Instruction limit reached!
% 6.70/2.03 % (2972277)------------------------------
% 6.70/2.03 % (2972277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972277)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972277)Termination reason: Instruction limit
% 6.70/2.03 % (2972277)Termination phase: Saturation
% 6.70/2.03 % (2972277)Time elapsed: 0.069 s
% 6.70/2.03 % (2972277)Peak memory usage: 90 MB
% 6.70/2.03 % (2972277)Instructions burned: 110 (million)
% 6.70/2.03 % (2972279)Instruction limit reached!
% 6.70/2.03 % (2972279)------------------------------
% 6.70/2.03 % (2972279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972279)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972279)Termination reason: Instruction limit
% 6.70/2.03 % (2972279)Termination phase: Saturation
% 6.70/2.03 % (2972279)Time elapsed: 0.102 s
% 6.70/2.03 % (2972279)Peak memory usage: 90 MB
% 6.70/2.03 % (2972279)Instructions burned: 140 (million)
% 6.70/2.03 % (2972282)lrs+10_1_sil=8000:sp=occurrence:random_seed=1260244158:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.70/2.03 % (2972282)Instruction limit reached!
% 6.70/2.03 % (2972282)------------------------------
% 6.70/2.03 % (2972282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972282)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972282)Termination reason: Instruction limit
% 6.70/2.03 % (2972282)Termination phase: Saturation
% 6.70/2.03 % (2972282)Time elapsed: 0.095 s
% 6.70/2.03 % (2972282)Peak memory usage: 92 MB
% 6.70/2.03 % (2972282)Instructions burned: 286 (million)
% 6.70/2.03 % (2972290)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3437242875:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.70/2.03 % (2972289)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3895043227:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.70/2.03 % (2972289)Refutation not found, incomplete strategy
% 6.70/2.03 % (2972289)------------------------------
% 6.70/2.03 % (2972289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972289)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972289)Termination reason: Refutation not found, incomplete strategy
% 6.70/2.03 % (2972289)Time elapsed: 0.007 s
% 6.70/2.03 % (2972289)Peak memory usage: 89 MB
% 6.70/2.03 % (2972289)Instructions burned: 9 (million)
% 6.70/2.03 % (2972292)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=3196152850:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.70/2.03 % (2972293)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1871922263:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.70/2.03 % (2972290)Instruction limit reached!
% 6.70/2.03 % (2972290)------------------------------
% 6.70/2.03 % (2972290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972290)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972290)Termination reason: Instruction limit
% 6.70/2.03 % (2972290)Termination phase: Saturation
% 6.70/2.03 % (2972290)Time elapsed: 0.166 s
% 6.70/2.03 % (2972290)Peak memory usage: 90 MB
% 6.70/2.03 % (2972290)Instructions burned: 327 (million)
% 6.70/2.03 % (2972292)Instruction limit reached!
% 6.70/2.03 % (2972292)------------------------------
% 6.70/2.03 % (2972292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972292)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972292)Termination reason: Instruction limit
% 6.70/2.03 % (2972292)Termination phase: Saturation
% 6.70/2.03 % (2972292)Time elapsed: 0.151 s
% 6.70/2.03 % (2972292)Peak memory usage: 93 MB
% 6.70/2.03 % (2972292)Instructions burned: 249 (million)
% 6.70/2.03 % (2972293)Instruction limit reached!
% 6.70/2.03 % (2972293)------------------------------
% 6.70/2.03 % (2972293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972293)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972293)Termination reason: Instruction limit
% 6.70/2.03 % (2972293)Termination phase: Saturation
% 6.70/2.03 % (2972293)Time elapsed: 0.094 s
% 6.70/2.03 % (2972293)Peak memory usage: 90 MB
% 6.70/2.03 % (2972293)Instructions burned: 296 (million)
% 6.70/2.03 % (2972289)------------------------------
% 6.70/2.03 % (2972289)------------------------------
% 6.70/2.03 % (2972299)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2985686158:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.70/2.03 % (2972298)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4293280671:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.70/2.03 % (2972299)Instruction limit reached!
% 6.70/2.03 % (2972299)------------------------------
% 6.70/2.03 % (2972299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972299)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972299)Termination reason: Instruction limit
% 6.70/2.03 % (2972299)Termination phase: Saturation
% 6.70/2.03 % (2972299)Time elapsed: 0.041 s
% 6.70/2.03 % (2972299)Peak memory usage: 91 MB
% 6.70/2.03 % (2972299)Instructions burned: 116 (million)
% 6.70/2.03 % (2972300)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2452178691:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.70/2.03 % (2972300)Instruction limit reached!
% 6.70/2.03 % (2972300)------------------------------
% 6.70/2.03 % (2972300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972300)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972300)Termination reason: Instruction limit
% 6.70/2.03 % (2972300)Termination phase: Saturation
% 6.70/2.03 % (2972300)Time elapsed: 0.068 s
% 6.70/2.03 % (2972300)Peak memory usage: 89 MB
% 6.70/2.03 % (2972300)Instructions burned: 127 (million)
% 6.70/2.03 % (2972301)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2422840446:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.70/2.03 % (2972304)lrs+10_1_sil=8000:sp=occurrence:random_seed=915563958:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.70/2.03 % (2972301)Instruction limit reached!
% 6.70/2.03 % (2972301)------------------------------
% 6.70/2.03 % (2972301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972301)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972301)Termination reason: Instruction limit
% 6.70/2.03 % (2972301)Termination phase: Saturation
% 6.70/2.03 % (2972301)Time elapsed: 0.072 s
% 6.70/2.03 % (2972301)Peak memory usage: 89 MB
% 6.70/2.03 % (2972301)Instructions burned: 116 (million)
% 6.70/2.03 % (2972275)First to succeed.
% 6.70/2.03 % (2972275)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2972269"
% 6.70/2.03 % (2972307)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2702839483:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.70/2.03 % (2972274)Also succeeded, but the first one will report.
% 6.70/2.03 % (2972309)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2527830872:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.70/2.03 % (2972304)Instruction limit reached!
% 6.70/2.03 % (2972304)------------------------------
% 6.70/2.03 % (2972304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.03 % (2972304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.03 % (2972304)CaDiCaL version: 2.1.3
% 6.70/2.03 % (2972304)Termination reason: Instruction limit
% 6.70/2.03 % (2972304)Termination phase: Saturation
% 6.70/2.03 % (2972304)Time elapsed: 0.298 s
% 6.70/2.03 % (2972304)Peak memory usage: 98 MB
% 6.70/2.03 % (2972304)Instructions burned: 909 (million)
% 6.70/2.03 % (2972275)Refutation found. Thanks to Tanya!
% 6.70/2.03 % SZS status Theorem for theBenchmark
% 6.70/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.95/2.22 % (2972275)------------------------------
% 8.95/2.22 % (2972275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.22 % (2972275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.22 % (2972275)CaDiCaL version: 2.1.3
% 8.95/2.22 % (2972275)Termination reason: Refutation
% 8.95/2.22 % (2972275)Time elapsed: 0.763 s
% 8.95/2.22 % (2972275)Peak memory usage: 133 MB
% 8.95/2.22 % (2972275)Instructions burned: 1148 (million)
% 8.95/2.22 % (2972275)------------------------------
% 8.95/2.22 % (2972275)------------------------------
% 8.95/2.22 % (2972269)Success in time 1.193 s
% 8.95/2.22 % Vampire exiting
%------------------------------------------------------------------------------