%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM596+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 : n012.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 4.57s 1.24s
% Output : Refutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 132 ( 25 unt; 5 def)
% Number of atoms : 494 ( 83 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 603 ( 241 ~; 242 |; 87 &)
% ( 18 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 160 ( 0 sgn 147 !; 13 ?)
% 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(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,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(f103,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(flattening,[],[f95]) ).
fof(f105,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f108,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f111]) ).
fof(f163,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(f164,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f163]) ).
fof(f192,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(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(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f195,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f194]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,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(f202,plain,
! [X0] :
( ( aElement0(szDzizrdt0(X0))
& isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0))) )
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(flattening,[],[f201]) ).
fof(f224,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(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(flattening,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f227,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f226]) ).
fof(f228,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f227]) ).
fof(f229,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK0(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f228]) ).
fof(f230,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,[],[f110]) ).
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(flattening,[],[f230]) ).
fof(f232,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,[],[f231]) ).
fof(f233,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))],[f232]) ).
fof(f247,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,[],[f164]) ).
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(flattening,[],[f247]) ).
fof(f249,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,[],[f248]) ).
fof(f250,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))],[f249]) ).
fof(f268,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,[],[f193]) ).
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(flattening,[],[f268]) ).
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)
& ! [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,[],[f269]) ).
fof(f271,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))],[f270]) ).
fof(f286,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f229]) ).
fof(f290,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f291,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f295,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| isFinite0(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f323,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f353,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f250]) ).
fof(f394,plain,
! [X2,X0,X1,X4] :
( sdtlpdtrp0(X0,X4) = X1
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f395,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X0))
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f401,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f409,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f197]) ).
fof(f419,plain,
! [X0] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f420,plain,
! [X0] :
( ~ isCountable0(szDzozmdt0(X0))
| aElement0(szDzizrdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f421,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f422,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f464,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f225]) ).
fof(f465,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f225]) ).
fof(f466,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f93]) ).
fof(f467,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f103]) ).
fof(f468,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f286]) ).
fof(f470,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f290]) ).
fof(f484,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f353]) ).
fof(f501,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| ~ aFunction0(X0)
| aElementOf0(X4,szDzozmdt0(X0)) ),
inference(equality_resolution,[],[f395]) ).
fof(f502,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X4) = X1 ),
inference(equality_resolution,[],[f394]) ).
fof(f518,definition,
( spl24_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f519,plain,
( ~ aSet0(slcrc0)
| spl24_1 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f525,definition,
( spl24_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f526,plain,
( ~ isCountable0(slcrc0)
| spl24_3 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( ~ spl24_3
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f470,f518,f525]) ).
fof(f530,plain,
( $false
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f519,f468]) ).
fof(f531,plain,
spl24_1,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f532,plain,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(superposition,[],[f466,f464]) ).
fof(f551,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xd))
| aElementOf0(sdtlpdtrp0(xd,X0),sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(resolution,[],[f409,f465]) ).
fof(f552,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xd,X0),sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(forward_demodulation,[],[f551,f464]) ).
fof(f553,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xd,X0),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_demodulation,[],[f552,f464]) ).
fof(f567,plain,
! [X0] :
( ~ aSubsetOf0(X0,xT)
| ~ aSet0(xT)
| isFinite0(X0) ),
inference(resolution,[],[f295,f421]) ).
fof(f568,plain,
! [X0] :
( ~ aSubsetOf0(X0,xT)
| isFinite0(X0) ),
inference(forward_subsumption_resolution,[],[f567,f422]) ).
fof(f574,plain,
isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
inference(resolution,[],[f568,f532]) ).
fof(f616,plain,
( ~ isCountable0(szNzAzT0)
| aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(superposition,[],[f420,f464]) ).
fof(f619,plain,
( aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| ~ aFunction0(xd) ),
inference(forward_subsumption_resolution,[],[f616,f323]) ).
fof(f621,plain,
( aElement0(szDzizrdt0(xd))
| ~ aFunction0(xd) ),
inference(forward_subsumption_resolution,[],[f619,f574]) ).
fof(f629,plain,
aElement0(szDzizrdt0(xd)),
inference(forward_subsumption_resolution,[],[f621,f465]) ).
fof(f630,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtlbdtrb0(X1,szDzizrdt0(xd)))
| ~ aFunction0(X1)
| aElementOf0(X0,szDzozmdt0(X1)) ),
inference(resolution,[],[f629,f501]) ).
fof(f632,plain,
! [X0] :
( aSubsetOf0(sdtlbdtrb0(X0,szDzizrdt0(xd)),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(resolution,[],[f629,f401]) ).
fof(f634,plain,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aFunction0(xd) ),
inference(superposition,[],[f632,f464]) ).
fof(f637,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(forward_subsumption_resolution,[],[f634,f465]) ).
fof(f639,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd)) ),
inference(resolution,[],[f637,f484]) ).
fof(f643,definition,
( spl24_12
<=> slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd)) ),
introduced(definition,[new_symbols(definition,[spl24_12])],[avatar_definition]) ).
fof(f644,plain,
( slcrc0 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| ~ spl24_12 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,definition,
( spl24_13
<=> aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
introduced(definition,[new_symbols(definition,[spl24_13])],[avatar_definition]) ).
fof(f647,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f648,plain,
( spl24_12
| spl24_13 ),
inference(avatar_split_clause,[],[f639,f646,f643]) ).
fof(f780,plain,
( isCountable0(slcrc0)
| ~ isCountable0(szDzozmdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aFunction0(xd)
| ~ spl24_12 ),
inference(superposition,[],[f419,f644]) ).
fof(f781,plain,
( ~ isCountable0(szDzozmdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aFunction0(xd)
| spl24_3
| ~ spl24_12 ),
inference(forward_subsumption_resolution,[],[f780,f526]) ).
fof(f782,plain,
( ~ isCountable0(szDzozmdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
| spl24_3
| ~ spl24_12 ),
inference(forward_subsumption_resolution,[],[f781,f465]) ).
fof(f783,plain,
( ~ isCountable0(szNzAzT0)
| ~ isFinite0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
| spl24_3
| ~ spl24_12 ),
inference(forward_demodulation,[],[f782,f464]) ).
fof(f784,plain,
( ~ isFinite0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
| spl24_3
| ~ spl24_12 ),
inference(forward_subsumption_resolution,[],[f783,f323]) ).
fof(f785,plain,
( ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0))
| spl24_3
| ~ spl24_12 ),
inference(forward_demodulation,[],[f784,f464]) ).
fof(f786,plain,
( $false
| spl24_3
| ~ spl24_12 ),
inference(forward_subsumption_resolution,[],[f785,f574]) ).
fof(f787,plain,
( spl24_3
| ~ spl24_12 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f788,plain,
( ~ aFunction0(xd)
| aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szDzozmdt0(xd))
| ~ spl24_13 ),
inference(resolution,[],[f647,f630]) ).
fof(f790,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szDzozmdt0(xd))
| ~ spl24_13 ),
inference(forward_subsumption_resolution,[],[f788,f465]) ).
fof(f791,plain,
( aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ spl24_13 ),
inference(forward_demodulation,[],[f790,f464]) ).
fof(f959,plain,
! [X0,X1] :
( ~ aFunction0(X1)
| ~ aElementOf0(X0,sdtlbdtrb0(X1,szDzizrdt0(xd)))
| szDzizrdt0(xd) = sdtlpdtrp0(X1,X0) ),
inference(resolution,[],[f502,f629]) ).
fof(f963,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ),
inference(resolution,[],[f959,f465]) ).
fof(f967,plain,
( szDzizrdt0(xd) = sdtlpdtrp0(xd,szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ spl24_13 ),
inference(resolution,[],[f963,f647]) ).
fof(f1033,definition,
( spl24_38
<=> aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(definition,[new_symbols(definition,[spl24_38])],[avatar_definition]) ).
fof(f1034,plain,
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ spl24_38 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1040,plain,
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(szmzizndt0(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ spl24_13 ),
inference(superposition,[],[f553,f967]) ).
fof(f1043,plain,
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ spl24_13 ),
inference(forward_subsumption_resolution,[],[f1040,f791]) ).
fof(f1045,plain,
( spl24_38
| ~ spl24_13 ),
inference(avatar_split_clause,[],[f1043,f646,f1033]) ).
fof(f1046,plain,
( $false
| ~ spl24_38 ),
inference(unit_resulting_resolution,[],[f291,f422,f467,f532,f1034]) ).
fof(f1049,plain,
~ spl24_38,
inference(avatar_contradiction_clause,[],[f1046]) ).
cnf(s2,plain,
( ~ spl24_1
| ~ spl24_3 ),
inference(sat_conversion,[],[f527]) ).
cnf(s3,plain,
spl24_1,
inference(sat_conversion,[],[f531]) ).
cnf(s9,plain,
( spl24_12
| spl24_13 ),
inference(sat_conversion,[],[f648]) ).
cnf(s16,plain,
( spl24_3
| ~ spl24_12 ),
inference(sat_conversion,[],[f787]) ).
cnf(s29,plain,
( ~ spl24_13
| spl24_38 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s30,plain,
~ spl24_38,
inference(sat_conversion,[],[f1049]) ).
cnf(s31,plain,
~ spl24_13,
inference(rat,[],[s29,s30]) ).
cnf(s34,plain,
spl24_12,
inference(rat,[],[s9,s31]) ).
cnf(s35,plain,
spl24_3,
inference(rat,[],[s16,s34]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s2,s35,s3]) ).
fof(f1050,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM596+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 20:40:04 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 4.57/1.24 % (2718847)Detected formulas, will run a generic FOF schedule.
% 4.57/1.24 % (2718852)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=1069424846:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.57/1.24 % (2718854)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=286871190:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.57/1.24 % (2718857)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2921685256:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.57/1.24 % (2718858)dis-21_1_sil=8000:lcm=predicate:random_seed=758437682: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)
% 4.57/1.24 % (2718853)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=3327667486:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.57/1.24 % (2718855)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=516924750:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.57/1.24 % (2718856)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1115986933:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.57/1.24 % (2718856)Instruction limit reached!
% 4.57/1.24 % (2718856)------------------------------
% 4.57/1.24 % (2718856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718856)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718856)Termination reason: Instruction limit
% 4.57/1.24 % (2718856)Termination phase: Saturation
% 4.57/1.24 % (2718856)Time elapsed: 0.027 s
% 4.57/1.24 % (2718856)Peak memory usage: 88 MB
% 4.57/1.24 % (2718856)Instructions burned: 123 (million)
% 4.57/1.24 % (2718855)Instruction limit reached!
% 4.57/1.24 % (2718855)------------------------------
% 4.57/1.24 % (2718855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718855)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718855)Termination reason: Instruction limit
% 4.57/1.24 % (2718855)Termination phase: Saturation
% 4.57/1.24 % (2718855)Time elapsed: 0.034 s
% 4.57/1.24 % (2718855)Peak memory usage: 89 MB
% 4.57/1.24 % (2718855)Instructions burned: 109 (million)
% 4.57/1.24 % (2718858)Instruction limit reached!
% 4.57/1.24 % (2718858)------------------------------
% 4.57/1.24 % (2718858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718858)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718858)Termination reason: Instruction limit
% 4.57/1.24 % (2718858)Termination phase: Saturation
% 4.57/1.24 % (2718858)Time elapsed: 0.034 s
% 4.57/1.24 % (2718858)Peak memory usage: 89 MB
% 4.57/1.24 % (2718858)Instructions burned: 131 (million)
% 4.57/1.24 % (2718857)Instruction limit reached!
% 4.57/1.24 % (2718857)------------------------------
% 4.57/1.24 % (2718857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718857)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718857)Termination reason: Instruction limit
% 4.57/1.24 % (2718857)Termination phase: Saturation
% 4.57/1.24 % (2718857)Time elapsed: 0.054 s
% 4.57/1.24 % (2718857)Peak memory usage: 90 MB
% 4.57/1.24 % (2718857)Instructions burned: 139 (million)
% 4.57/1.24 % (2718866)lrs+10_1_sil=8000:sp=occurrence:random_seed=511964786:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.57/1.24 % (2718867)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3057175061:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.57/1.24 % (2718868)lrs+1011_1_sil=32000:sp=occurrence:random_seed=87865521:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.57/1.24 % (2718867)Refutation not found, incomplete strategy
% 4.57/1.24 % (2718867)------------------------------
% 4.57/1.24 % (2718867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718867)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718867)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.24 % (2718867)Time elapsed: 0.001 s
% 4.57/1.24 % (2718867)Peak memory usage: 89 MB
% 4.57/1.24 % (2718867)Instructions burned: 2 (million)
% 4.57/1.24 % (2718869)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=3827978633:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.57/1.24 % (2718866)Instruction limit reached!
% 4.57/1.24 % (2718866)------------------------------
% 4.57/1.24 % (2718866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718866)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718866)Termination reason: Instruction limit
% 4.57/1.24 % (2718866)Termination phase: Saturation
% 4.57/1.24 % (2718866)Time elapsed: 0.100 s
% 4.57/1.24 % (2718866)Peak memory usage: 92 MB
% 4.57/1.24 % (2718866)Instructions burned: 288 (million)
% 4.57/1.24 % (2718869)Instruction limit reached!
% 4.57/1.24 % (2718869)------------------------------
% 4.57/1.24 % (2718869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718869)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718869)Termination reason: Instruction limit
% 4.57/1.24 % (2718869)Termination phase: Saturation
% 4.57/1.24 % (2718869)Time elapsed: 0.082 s
% 4.57/1.24 % (2718869)Peak memory usage: 92 MB
% 4.57/1.24 % (2718869)Instructions burned: 249 (million)
% 4.57/1.24 % (2718868)Instruction limit reached!
% 4.57/1.24 % (2718868)------------------------------
% 4.57/1.24 % (2718868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718868)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718868)Termination reason: Instruction limit
% 4.57/1.24 % (2718868)Termination phase: Saturation
% 4.57/1.24 % (2718868)Time elapsed: 0.123 s
% 4.57/1.24 % (2718868)Peak memory usage: 91 MB
% 4.57/1.24 % (2718868)Instructions burned: 327 (million)
% 4.57/1.24 % (2718867)------------------------------
% 4.57/1.24 % (2718867)------------------------------
% 4.57/1.24 % (2718874)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1463294368:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.57/1.24 % (2718876)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=135533521:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.57/1.24 % (2718875)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=10632637:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.57/1.24 % (2718853)First to succeed.
% 4.57/1.24 % (2718853)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2718847"
% 4.57/1.24 % (2718852)Also succeeded, but the first one will report.
% 4.57/1.24 % (2718876)Instruction limit reached!
% 4.57/1.24 % (2718876)------------------------------
% 4.57/1.24 % (2718876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718876)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718876)Termination reason: Instruction limit
% 4.57/1.24 % (2718876)Termination phase: Saturation
% 4.57/1.24 % (2718876)Time elapsed: 0.041 s
% 4.57/1.24 % (2718876)Peak memory usage: 90 MB
% 4.57/1.24 % (2718876)Instructions burned: 113 (million)
% 4.57/1.24 % (2718877)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=218731031:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.57/1.24 % (2718874)Instruction limit reached!
% 4.57/1.24 % (2718874)------------------------------
% 4.57/1.24 % (2718874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718874)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718874)Termination reason: Instruction limit
% 4.57/1.24 % (2718874)Termination phase: Saturation
% 4.57/1.24 % (2718874)Time elapsed: 0.099 s
% 4.57/1.24 % (2718874)Peak memory usage: 90 MB
% 4.57/1.24 % (2718874)Instructions burned: 296 (million)
% 4.57/1.24 % (2718877)Instruction limit reached!
% 4.57/1.24 % (2718877)------------------------------
% 4.57/1.24 % (2718877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2718877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2718877)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2718877)Termination reason: Instruction limit
% 4.57/1.24 % (2718877)Termination phase: Saturation
% 4.57/1.24 % (2718877)Time elapsed: 0.038 s
% 4.57/1.24 % (2718877)Peak memory usage: 89 MB
% 4.57/1.24 % (2718877)Instructions burned: 129 (million)
% 4.57/1.24 % (2718881)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2659644736:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.57/1.24 % (2718853)Refutation found. Thanks to Tanya!
% 4.57/1.24 % SZS status Theorem for theBenchmark
% 4.57/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 5.24/1.34 % (2718853)------------------------------
% 5.24/1.34 % (2718853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.34 % (2718853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.34 % (2718853)CaDiCaL version: 2.1.3
% 5.24/1.34 % (2718853)Termination reason: Refutation
% 5.24/1.34 % (2718853)Time elapsed: 0.408 s
% 5.24/1.34 % (2718853)Peak memory usage: 130 MB
% 5.24/1.34 % (2718853)Instructions burned: 1082 (million)
% 5.24/1.34 % (2718853)------------------------------
% 5.24/1.34 % (2718853)------------------------------
% 5.24/1.34 % (2718847)Success in time 0.72 s
% 5.24/1.34 % Vampire exiting
%------------------------------------------------------------------------------