%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM597+1 : 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 6.32s 1.94s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 24 unt; 0 def)
% Number of atoms : 364 ( 67 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 445 ( 169 ~; 175 |; 76 &)
% ( 11 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 135 ( 126 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
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(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
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)
& 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,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4758) ).
fof(f94,axiom,
sdtlbdtrb0(xd,szDzizrdt0(xd)) != slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4868) ).
fof(f95,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f96,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f104,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(flattening,[],[f96]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f112]) ).
fof(f164,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(f165,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f164]) ).
fof(f193,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(f194,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,[],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f196,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f195]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f202,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(f203,plain,
! [X0] :
( ( aElement0(szDzizrdt0(X0))
& isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0))) )
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(flattening,[],[f202]) ).
fof(f225,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f226,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f225]) ).
fof(f231,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,[],[f111]) ).
fof(f232,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,[],[f231]) ).
fof(f233,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,[],[f232]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f233]) ).
fof(f248,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,[],[f165]) ).
fof(f249,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,[],[f248]) ).
fof(f250,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,[],[f249]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK6(X0,X1))
& aElementOf0(sK6(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,[sK6]),skolemize(X2,sK6(X0,X1))],[f250]) ).
fof(f269,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,[],[f194]) ).
fof(f270,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,[],[f269]) ).
fof(f271,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,[],[f270]) ).
fof(f272,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtlbdtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK12(X0,X1,X2),szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK12(X0,X1,X2)) != X1
| ~ aElementOf0(sK12(X0,X1,X2),X2) )
& ( ( aElementOf0(sK12(X0,X1,X2),szDzozmdt0(X0))
& sdtlpdtrp0(X0,sK12(X0,X1,X2)) = X1 )
| aElementOf0(sK12(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,[sK12]),skolemize(X3,sK12(X0,X1,X2))],[f271]) ).
fof(f292,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f296,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| isFinite0(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f324,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f325,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f354,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f251]) ).
fof(f395,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = X1
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f402,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f410,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f198]) ).
fof(f421,plain,
! [X0] :
( ~ isCountable0(szDzozmdt0(X0))
| aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f422,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f423,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f465,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f226]) ).
fof(f466,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f226]) ).
fof(f467,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f93]) ).
fof(f468,plain,
slcrc0 != sdtlbdtrb0(xd,szDzizrdt0(xd)),
inference(cnf_transformation,[],[f94]) ).
fof(f469,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f104]) ).
fof(f486,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f354]) ).
fof(f504,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X4) = X1 ),
inference(equality_resolution,[],[f395]) ).
fof(f534,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X0,xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f467,f292]) ).
fof(f535,plain,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(superposition,[],[f467,f465]) ).
fof(f536,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X0,xT) ),
inference(forward_subsumption_resolution,[],[f534,f423]) ).
fof(f537,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X0,xT) ),
inference(forward_demodulation,[],[f536,f465]) ).
fof(f569,plain,
! [X0] :
( ~ aSubsetOf0(X0,xT)
| ~ aSet0(xT)
| isFinite0(X0) ),
inference(resolution,[],[f296,f422]) ).
fof(f570,plain,
! [X0] :
( ~ aSubsetOf0(X0,xT)
| isFinite0(X0) ),
inference(forward_subsumption_resolution,[],[f569,f423]) ).
fof(f587,plain,
isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
inference(resolution,[],[f570,f535]) ).
fof(f591,plain,
( ~ isCountable0(szNzAzT0)
| aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(superposition,[],[f421,f465]) ).
fof(f592,plain,
( aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(forward_subsumption_resolution,[],[f591,f324]) ).
fof(f593,plain,
( aElement0(szDzizrdt0(xd))
| ~ aFunction0(xd) ),
inference(forward_subsumption_resolution,[],[f592,f587]) ).
fof(f594,plain,
aElement0(szDzizrdt0(xd)),
inference(forward_subsumption_resolution,[],[f593,f466]) ).
fof(f596,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,szDzizrdt0(xd)))
| ~ aFunction0(X1)
| szDzizrdt0(xd) = sdtlpdtrp0(X1,X0) ),
inference(resolution,[],[f594,f504]) ).
fof(f597,plain,
! [X0] :
( ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,szDzizrdt0(xd)),szDzozmdt0(X0)) ),
inference(resolution,[],[f594,f402]) ).
fof(f599,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xd)),
inference(resolution,[],[f597,f466]) ).
fof(f600,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(forward_demodulation,[],[f599,f465]) ).
fof(f601,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd)) ),
inference(resolution,[],[f600,f486]) ).
fof(f603,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f600,f292]) ).
fof(f604,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f603,f325]) ).
fof(f606,plain,
aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(forward_subsumption_resolution,[],[f601,f468]) ).
fof(f607,plain,
( ~ aFunction0(xd)
| szDzizrdt0(xd) = sdtlpdtrp0(xd,szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(resolution,[],[f606,f596]) ).
fof(f608,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xd,szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(forward_subsumption_resolution,[],[f607,f466]) ).
fof(f609,plain,
aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(resolution,[],[f604,f606]) ).
fof(f627,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xd))
| aElementOf0(sdtlpdtrp0(xd,X0),sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(resolution,[],[f410,f466]) ).
fof(f628,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X0),sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(forward_demodulation,[],[f627,f465]) ).
fof(f629,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xd,X0),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f628,f465]) ).
fof(f630,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xd,X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f629,f537]) ).
fof(f633,plain,
( aElementOf0(szDzizrdt0(xd),xT)
| ~ aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0) ),
inference(superposition,[],[f630,f608]) ).
fof(f634,plain,
~ aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(forward_subsumption_resolution,[],[f633,f469]) ).
fof(f635,plain,
$false,
inference(forward_subsumption_resolution,[],[f634,f609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM597+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n016.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 20:46:03 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 6.32/1.94 % (2973122)Detected formulas, will run a generic FOF schedule.
% 6.32/1.94 % (2973130)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1543210496:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.32/1.94 % (2973130)Instruction limit reached!
% 6.32/1.94 % (2973130)------------------------------
% 6.32/1.94 % (2973130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973130)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973130)Termination reason: Instruction limit
% 6.32/1.94 % (2973130)Termination phase: Saturation
% 6.32/1.94 % (2973130)Time elapsed: 0.036 s
% 6.32/1.94 % (2973130)Peak memory usage: 89 MB
% 6.32/1.94 % (2973130)Instructions burned: 110 (million)
% 6.32/1.94 % (2973131)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1887281553:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.32/1.94 % (2973133)dis-21_1_sil=8000:lcm=predicate:random_seed=3875945371: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)
% 6.32/1.94 % (2973127)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=1426260490:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.32/1.94 % (2973129)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=2081998985:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.32/1.94 % (2973128)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=1411383235:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.32/1.94 % (2973131)Instruction limit reached!
% 6.32/1.94 % (2973131)------------------------------
% 6.32/1.94 % (2973131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973131)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973131)Termination reason: Instruction limit
% 6.32/1.94 % (2973131)Termination phase: Saturation
% 6.32/1.94 % (2973131)Time elapsed: 0.049 s
% 6.32/1.94 % (2973131)Peak memory usage: 88 MB
% 6.32/1.94 % (2973131)Instructions burned: 120 (million)
% 6.32/1.94 % (2973132)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4262648382:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.32/1.94 % (2973133)Instruction limit reached!
% 6.32/1.94 % (2973133)------------------------------
% 6.32/1.94 % (2973133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973133)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973133)Termination reason: Instruction limit
% 6.32/1.94 % (2973133)Termination phase: Saturation
% 6.32/1.94 % (2973133)Time elapsed: 0.064 s
% 6.32/1.94 % (2973133)Peak memory usage: 89 MB
% 6.32/1.94 % (2973133)Instructions burned: 130 (million)
% 6.32/1.94 % (2973142)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3033260425:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.32/1.94 % (2973142)Refutation not found, incomplete strategy
% 6.32/1.94 % (2973142)------------------------------
% 6.32/1.94 % (2973142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973142)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973142)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.94 % (2973142)Time elapsed: 0.001 s
% 6.32/1.94 % (2973142)Peak memory usage: 89 MB
% 6.32/1.94 % (2973142)Instructions burned: 2 (million)
% 6.32/1.94 % (2973132)Instruction limit reached!
% 6.32/1.94 % (2973132)------------------------------
% 6.32/1.94 % (2973132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973132)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973132)Termination reason: Instruction limit
% 6.32/1.94 % (2973132)Termination phase: Saturation
% 6.32/1.94 % (2973132)Time elapsed: 0.105 s
% 6.32/1.94 % (2973132)Peak memory usage: 90 MB
% 6.32/1.94 % (2973132)Instructions burned: 139 (million)
% 6.32/1.94 % (2973140)lrs+10_1_sil=8000:sp=occurrence:random_seed=2278494665:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.32/1.94 % (2973143)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3405178876:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.32/1.94 % (2973142)------------------------------
% 6.32/1.94 % (2973142)------------------------------
% 6.32/1.94 % (2973146)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=2216860848:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.32/1.94 % (2973140)Instruction limit reached!
% 6.32/1.94 % (2973140)------------------------------
% 6.32/1.94 % (2973140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973140)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973140)Termination reason: Instruction limit
% 6.32/1.94 % (2973140)Termination phase: Saturation
% 6.32/1.94 % (2973140)Time elapsed: 0.186 s
% 6.32/1.94 % (2973140)Peak memory usage: 92 MB
% 6.32/1.94 % (2973140)Instructions burned: 286 (million)
% 6.32/1.94 % (2973149)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4233385198:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.32/1.94 % (2973143)Instruction limit reached!
% 6.32/1.94 % (2973143)------------------------------
% 6.32/1.94 % (2973143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973143)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973143)Termination reason: Instruction limit
% 6.32/1.94 % (2973143)Termination phase: Saturation
% 6.32/1.94 % (2973143)Time elapsed: 0.227 s
% 6.32/1.94 % (2973143)Peak memory usage: 92 MB
% 6.32/1.94 % (2973143)Instructions burned: 326 (million)
% 6.32/1.94 % (2973146)Instruction limit reached!
% 6.32/1.94 % (2973146)------------------------------
% 6.32/1.94 % (2973146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973146)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973146)Termination reason: Instruction limit
% 6.32/1.94 % (2973146)Termination phase: Saturation
% 6.32/1.94 % (2973146)Time elapsed: 0.151 s
% 6.32/1.94 % (2973146)Peak memory usage: 92 MB
% 6.32/1.94 % (2973146)Instructions burned: 248 (million)
% 6.32/1.94 % (2973150)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1140902121:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.32/1.94 % (2973149)Instruction limit reached!
% 6.32/1.94 % (2973149)------------------------------
% 6.32/1.94 % (2973149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973149)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973149)Termination reason: Instruction limit
% 6.32/1.94 % (2973149)Termination phase: Saturation
% 6.32/1.94 % (2973149)Time elapsed: 0.099 s
% 6.32/1.94 % (2973149)Peak memory usage: 90 MB
% 6.32/1.94 % (2973149)Instructions burned: 297 (million)
% 6.32/1.94 % (2973152)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1007068493:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.32/1.94 % (2973155)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2462067031:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.32/1.94 % (2973153)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2077989143:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.32/1.94 % (2973155)Instruction limit reached!
% 6.32/1.94 % (2973155)------------------------------
% 6.32/1.94 % (2973155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973155)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973155)Termination reason: Instruction limit
% 6.32/1.94 % (2973155)Termination phase: Saturation
% 6.32/1.94 % (2973155)Time elapsed: 0.039 s
% 6.32/1.94 % (2973155)Peak memory usage: 89 MB
% 6.32/1.94 % (2973155)Instructions burned: 117 (million)
% 6.32/1.94 % (2973152)Instruction limit reached!
% 6.32/1.94 % (2973152)------------------------------
% 6.32/1.94 % (2973152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973152)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973152)Termination reason: Instruction limit
% 6.32/1.94 % (2973152)Termination phase: Saturation
% 6.32/1.94 % (2973152)Time elapsed: 0.075 s
% 6.32/1.94 % (2973152)Peak memory usage: 91 MB
% 6.32/1.94 % (2973152)Instructions burned: 113 (million)
% 6.32/1.94 % (2973153)Instruction limit reached!
% 6.32/1.94 % (2973153)------------------------------
% 6.32/1.94 % (2973153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.94 % (2973153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.94 % (2973153)CaDiCaL version: 2.1.3
% 6.32/1.94 % (2973153)Termination reason: Instruction limit
% 6.32/1.94 % (2973153)Termination phase: Saturation
% 6.32/1.94 % (2973153)Time elapsed: 0.070 s
% 6.32/1.94 % (2973153)Peak memory usage: 89 MB
% 6.32/1.94 % (2973153)Instructions burned: 128 (million)
% 6.32/1.94 % (2973128)First to succeed.
% 6.32/1.94 % (2973128)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2973122"
% 6.32/1.94 % (2973159)lrs+10_1_sil=8000:sp=occurrence:random_seed=873142497:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.32/1.94 % (2973127)Also succeeded, but the first one will report.
% 6.32/1.94 % (2973160)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4248862892:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.32/1.94 % (2973161)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2779240273:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.32/1.94 % (2973128)Refutation found. Thanks to Tanya!
% 6.32/1.94 % SZS status Theorem for theBenchmark
% 6.32/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/2.13 % (2973128)------------------------------
% 0.14/2.13 % (2973128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.13 % (2973128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.13 % (2973128)CaDiCaL version: 2.1.3
% 0.14/2.13 % (2973128)Termination reason: Refutation
% 0.14/2.13 % (2973128)Time elapsed: 0.665 s
% 0.14/2.13 % (2973128)Peak memory usage: 130 MB
% 0.14/2.13 % (2973128)Instructions burned: 1000 (million)
% 0.14/2.13 % (2973128)------------------------------
% 0.14/2.13 % (2973128)------------------------------
% 0.14/2.13 % (2973122)Success in time 1.076 s
% 0.14/2.13 % Vampire exiting
%------------------------------------------------------------------------------