%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM630+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:25:05 PM UTC 2026
% Result : Theorem 18.85s 4.04s
% Output : Refutation 18.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 327 ( 75 equ)
% Maximal formula atoms : 47 ( 9 avg)
% Number of connectives : 359 ( 68 ~; 64 |; 166 &)
% ( 23 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 79 ( 75 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,axiom,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X0))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& X1 != szmzizndt0(sdtlpdtrp0(xN,X0)) ) )
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( ( aSet0(X1)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& ( aElementOf0(X2,X1)
| X2 = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(f104,axiom,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f109,axiom,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5217) ).
fof(f111,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f114,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
& aSet0(xD)
& ! [X0] :
( aElementOf0(X0,xD)
<=> ( aElement0(X0)
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& X0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5585) ).
fof(f115,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xD) )
& aSubsetOf0(xP,xD)
& aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5599) ).
fof(f116,conjecture,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
=> ( ( aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X0)
& ( aElementOf0(X0,xP)
| X0 = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ) )
=> sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f117,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
=> ( ( aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X0)
& ( aElementOf0(X0,xP)
| X0 = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ) )
=> sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ) ),
inference(negated_conjecture,[status(cth)],[f116]) ).
fof(f123,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X0))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 ) )
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sbrdtbr0(X3) = xk ) )
& ( ( ( ( aSet0(X3)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sbrdtbr0(X3) = xk )
=> aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X6] :
( ( aSet0(X6)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X8)
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 ) ) )
=> ( ( ( ! [X9] :
( aElementOf0(X9,X6)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& xk = sbrdtbr0(X6) )
| aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X10] :
( aElementOf0(X10,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& ! [X11] :
( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X11)
& ( aElementOf0(X11,X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X11 ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
inference(rectify,[],[f86]) ).
fof(f132,plain,
( aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(rectify,[],[f104]) ).
fof(f133,plain,
( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
& aSet0(xD)
& ! [X1] :
( aElementOf0(X1,xD)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(rectify,[],[f114]) ).
fof(f134,plain,
~ ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
=> ( ( aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xP)
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ) ) ) )
=> sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ) ),
inference(rectify,[],[f117]) ).
fof(f259,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 ) )
& ! [X3] :
( ( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,X3) )
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sbrdtbr0(X3) = xk )
| ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X3)
| ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X5,X3) ) )
& ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X3) != xk ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X6] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X10] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0)) )
& ! [X11] :
( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X11)
& ( aElementOf0(X11,X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X11 ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X6)
| ( ( ( ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X6) )
& ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| xk != sbrdtbr0(X6) )
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X8)
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) ) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f260,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 ) )
& ! [X3] :
( ( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,X3) )
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sbrdtbr0(X3) = xk )
| ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X3)
| ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X5,X3) ) )
& ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X3) != xk ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X6] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X10] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10)
| ~ aElementOf0(X10,sdtlpdtrp0(xN,X0)) )
& ! [X11] :
( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X11)
& ( aElementOf0(X11,X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X11 ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X6)
| ( ( ( ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X6) )
& ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| xk != sbrdtbr0(X6) )
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X8)
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) ) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f259]) ).
fof(f280,plain,
( aSet0(xP)
& ! [X0] :
( sdtlseqdt0(szmzizndt0(xQ),X0)
| ~ aElementOf0(X0,xQ) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& szmzizndt0(xQ) != X1 ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(ennf_transformation,[],[f132]) ).
fof(f284,plain,
( ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
& aSet0(xD)
& ! [X1] :
( aElementOf0(X1,xD)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& szmzizndt0(sdtlpdtrp0(xN,xn)) != X1 ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(ennf_transformation,[],[f133]) ).
fof(f285,plain,
( ! [X0] :
( aElementOf0(X0,xD)
| ~ aElementOf0(X0,xP) )
& aSubsetOf0(xP,xD)
& aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(ennf_transformation,[],[f115]) ).
fof(f286,plain,
( sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xP)
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ) ) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
inference(ennf_transformation,[],[f134]) ).
fof(f287,plain,
( sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xP)
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ) ) )
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
inference(flattening,[],[f286]) ).
fof(f674,plain,
! [X0,X6] :
( ~ aElementOf0(X0,szNzAzT0)
| xk != sbrdtbr0(X6)
| ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X6)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f260]) ).
fof(f830,plain,
aSet0(xP),
inference(cnf_transformation,[],[f280]) ).
fof(f838,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f109]) ).
fof(f841,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f853,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(cnf_transformation,[],[f284]) ).
fof(f857,plain,
aSubsetOf0(xP,xD),
inference(cnf_transformation,[],[f285]) ).
fof(f864,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(cnf_transformation,[],[f287]) ).
fof(f1256,plain,
! [X0,X6] :
( xk != sbrdtbr0(X6)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aSet0(X6)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(consistent_polarity_flipping,[],[f674]) ).
fof(f1366,plain,
~ aSet0(xP),
inference(consistent_polarity_flipping,[],[f830]) ).
fof(f1377,plain,
~ aSubsetOf0(xP,xD),
inference(consistent_polarity_flipping,[],[f857]) ).
fof(f10022,plain,
! [X0] :
( xk != xk
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(xP,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aSet0(xP)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),xP) = sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(superposition,[],[f1256,f838]) ).
fof(f10023,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(xP,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aSet0(xP)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),xP) = sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(trivial_inequality_removal,[],[f10022]) ).
fof(f10024,plain,
! [X0] :
( aSubsetOf0(xP,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),xP) = sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(forward_subsumption_resolution,[],[f10023,f1366]) ).
fof(f172904,plain,
( aSubsetOf0(xP,xD)
| ~ aElementOf0(xn,szNzAzT0)
| sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(superposition,[],[f10024,f853]) ).
fof(f172906,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(forward_subsumption_resolution,[],[f172904,f1377]) ).
fof(f172922,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(forward_subsumption_resolution,[],[f172906,f841]) ).
fof(f172940,plain,
$false,
inference(forward_subsumption_resolution,[],[f172922,f864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM630+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:50:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.14/2.76 % (1147108)Will run a generic schedule for satisfiability detection.
% 16.14/2.76 % (1147114)% WARNING: option uhcvi not known.
% 16.14/2.76 % (1147114)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1333961706:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.14/2.76 % (1147113)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3047022602_2999 on theBenchmark for (2999ds/0Mi)
% 16.14/2.76 % (1147115)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1909172698:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.14/2.76 % (1147116)dis+10_1_sil=32000:sp=arity:random_seed=3206440386:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.14/2.76 % (1147117)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=926465777:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.14/2.76 % (1147118)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3259807600:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.14/2.76 % (1147119)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2068707934:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.14/2.76 % TRYING [1]
% 16.14/2.76 % TRYING [2]
% 16.14/2.76 % (1147117)Instruction limit reached!
% 16.14/2.76 % (1147117)------------------------------
% 16.14/2.76 % (1147117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.76 % (1147117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.76 % (1147117)CaDiCaL version: 2.1.3
% 16.14/2.76 % (1147117)Termination reason: Instruction limit
% 16.14/2.76 % (1147117)Termination phase: Saturation
% 16.14/2.76 % (1147117)Time elapsed: 0.064 s
% 16.14/2.76 % (1147117)Peak memory usage: 13 MB
% 16.14/2.76 % (1147117)Instructions burned: 117 (million)
% 16.14/2.76 % (1147116)Instruction limit reached!
% 16.14/2.76 % (1147116)------------------------------
% 16.14/2.76 % (1147116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.76 % (1147116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.76 % (1147116)CaDiCaL version: 2.1.3
% 16.14/2.76 % (1147116)Termination reason: Instruction limit
% 16.14/2.76 % (1147116)Termination phase: Saturation
% 16.14/2.76 % (1147116)Time elapsed: 0.067 s
% 16.14/2.76 % (1147116)Peak memory usage: 13 MB
% 16.14/2.76 % (1147116)Instructions burned: 104 (million)
% 16.14/2.76 % TRYING [3]
% 16.14/2.76 % (1147118)Instruction limit reached!
% 16.14/2.76 % (1147118)------------------------------
% 16.14/2.76 % (1147118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.76 % (1147118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.76 % (1147118)CaDiCaL version: 2.1.3
% 16.14/2.76 % (1147118)Termination reason: Instruction limit
% 16.14/2.76 % (1147118)Termination phase: Saturation
% 16.14/2.76 % (1147118)Time elapsed: 0.081 s
% 16.14/2.76 % (1147118)Peak memory usage: 13 MB
% 16.14/2.76 % (1147118)Instructions burned: 137 (million)
% 16.14/2.76 % (1147127)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1130379974:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 16.14/2.76 % (1147128)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1764118302:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.14/2.76 % (1147119)Instruction limit reached!
% 16.14/2.76 % (1147119)------------------------------
% 16.14/2.76 % (1147119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.76 % (1147119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.76 % (1147119)CaDiCaL version: 2.1.3
% 16.14/2.76 % (1147119)Termination reason: Instruction limit
% 16.14/2.76 % (1147119)Termination phase: Saturation
% 16.14/2.76 % (1147119)Time elapsed: 0.097 s
% 16.14/2.76 % (1147119)Peak memory usage: 16 MB
% 16.14/2.76 % (1147119)Instructions burned: 160 (million)
% 16.14/2.76 % (1147129)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=920433393:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.14/2.76 % (1147132)ott-21_1_sil=16000:fs=off:random_seed=4145514314:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.14/2.76 % TRYING [1]
% 16.14/2.76 % TRYING [2]
% 16.14/2.76 % TRYING [3]
% 16.14/2.76 % TRYING [4]
% 16.14/2.76 % (1147128)Instruction limit reached!
% 16.14/2.76 % (1147128)------------------------------
% 16.14/2.76 % (1147128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.76 % (1147128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147128)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147128)Termination reason: Instruction limit
% 18.85/4.04 % (1147128)Termination phase: Saturation
% 18.85/4.04 % (1147128)Time elapsed: 0.080 s
% 18.85/4.04 % (1147128)Peak memory usage: 14 MB
% 18.85/4.04 % (1147128)Instructions burned: 131 (million)
% 18.85/4.04 % (1147135)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1852583637:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.85/4.04 % TRYING [4]
% 18.85/4.04 % (1147132)Instruction limit reached!
% 18.85/4.04 % (1147132)------------------------------
% 18.85/4.04 % (1147132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147132)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147132)Termination reason: Instruction limit
% 18.85/4.04 % (1147132)Termination phase: Saturation
% 18.85/4.04 % (1147132)Time elapsed: 0.100 s
% 18.85/4.04 % (1147132)Peak memory usage: 14 MB
% 18.85/4.04 % (1147132)Instructions burned: 182 (million)
% 18.85/4.04 % (1147137)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3153804613:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.85/4.04 % TRYING [1]
% 18.85/4.04 % TRYING [2]
% 18.85/4.04 % TRYING [5]
% 18.85/4.04 % TRYING [5]
% 18.85/4.04 % TRYING [3]
% 18.85/4.04 % (1147127)Instruction limit reached!
% 18.85/4.04 % (1147127)------------------------------
% 18.85/4.04 % (1147127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147127)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147127)Termination reason: Instruction limit
% 18.85/4.04 % (1147127)Termination phase: Finite model building constraint generation
% 18.85/4.04 % (1147127)Time elapsed: 0.277 s
% 18.85/4.04 % (1147127)Peak memory usage: 34 MB
% 18.85/4.04 % (1147127)Instructions burned: 717 (million)
% 18.85/4.04 % (1147139)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3041710459:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 18.85/4.04 % (1147129)Instruction limit reached!
% 18.85/4.04 % (1147129)------------------------------
% 18.85/4.04 % (1147129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147129)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147129)Termination reason: Instruction limit
% 18.85/4.04 % (1147129)Termination phase: Saturation
% 18.85/4.04 % (1147129)Time elapsed: 0.408 s
% 18.85/4.04 % (1147129)Peak memory usage: 20 MB
% 18.85/4.04 % (1147129)Instructions burned: 684 (million)
% 18.85/4.04 % (1147135)Instruction limit reached!
% 18.85/4.04 % (1147135)------------------------------
% 18.85/4.04 % (1147135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147135)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147135)Termination reason: Instruction limit
% 18.85/4.04 % (1147135)Termination phase: Saturation
% 18.85/4.04 % (1147135)Time elapsed: 0.324 s
% 18.85/4.04 % (1147135)Peak memory usage: 14 MB
% 18.85/4.04 % (1147135)Instructions burned: 478 (million)
% 18.85/4.04 % (1147141)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=165043298:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 18.85/4.04 % (1147142)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1224840533:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 18.85/4.04 % TRYING [4]
% 18.85/4.04 % (1147137)Instruction limit reached!
% 18.85/4.04 % (1147137)------------------------------
% 18.85/4.04 % (1147137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147137)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147137)Termination reason: Instruction limit
% 18.85/4.04 % (1147137)Termination phase: Finite model building constraint generation
% 18.85/4.04 % (1147137)Time elapsed: 0.374 s
% 18.85/4.04 % (1147137)Peak memory usage: 24 MB
% 18.85/4.04 % (1147137)Instructions burned: 867 (million)
% 18.85/4.04 % (1147145)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1908671151:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 18.85/4.04 % TRYING [6]
% 18.85/4.04 % (1147142)Instruction limit reached!
% 18.85/4.04 % (1147142)------------------------------
% 18.85/4.04 % (1147142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147142)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147142)Termination reason: Instruction limit
% 18.85/4.04 % (1147142)Termination phase: Saturation
% 18.85/4.04 % (1147142)Time elapsed: 0.410 s
% 18.85/4.04 % (1147142)Peak memory usage: 24 MB
% 18.85/4.04 % (1147142)Instructions burned: 694 (million)
% 18.85/4.04 % (1147141)Instruction limit reached!
% 18.85/4.04 % (1147141)------------------------------
% 18.85/4.04 % (1147141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147141)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147141)Termination reason: Instruction limit
% 18.85/4.04 % (1147141)Termination phase: Finite model building constraint generation
% 18.85/4.04 % (1147141)Time elapsed: 0.422 s
% 18.85/4.04 % (1147141)Peak memory usage: 108 MB
% 18.85/4.04 % (1147141)Instructions burned: 890 (million)
% 18.85/4.04 % (1147147)fmb+10_1_sil=64000:random_seed=17207859:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 18.85/4.04 % (1147149)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=505487465:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 18.85/4.04 % TRYING [1]
% 18.85/4.04 % TRYING [2]
% 18.85/4.04 % TRYING [20]
% 18.85/4.04 % (1147139)Instruction limit reached!
% 18.85/4.04 % (1147139)------------------------------
% 18.85/4.04 % (1147139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147139)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147139)Termination reason: Instruction limit
% 18.85/4.04 % (1147139)Termination phase: Saturation
% 18.85/4.04 % (1147139)Time elapsed: 0.680 s
% 18.85/4.04 % (1147139)Peak memory usage: 24 MB
% 18.85/4.04 % (1147139)Instructions burned: 1180 (million)
% 18.85/4.04 % TRYING [3]
% 18.85/4.04 % (1147151)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4080318278:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 18.85/4.04 % (1147145)Instruction limit reached!
% 18.85/4.04 % (1147145)------------------------------
% 18.85/4.04 % (1147145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147145)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147145)Termination reason: Instruction limit
% 18.85/4.04 % (1147145)Termination phase: Saturation
% 18.85/4.04 % (1147145)Time elapsed: 0.486 s
% 18.85/4.04 % (1147145)Peak memory usage: 20 MB
% 18.85/4.04 % (1147145)Instructions burned: 879 (million)
% 18.85/4.04 % TRYING [8]
% 18.85/4.04 % (1147153)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1325600781:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 18.85/4.04 % TRYING [4]
% 18.85/4.04 % (1147151)Instruction limit reached!
% 18.85/4.04 % (1147151)------------------------------
% 18.85/4.04 % (1147151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147151)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147151)Termination reason: Instruction limit
% 18.85/4.04 % (1147151)Termination phase: Finite model building constraint generation
% 18.85/4.04 % (1147151)Time elapsed: 0.325 s
% 18.85/4.04 % (1147151)Peak memory usage: 63 MB
% 18.85/4.04 % (1147151)Instructions burned: 923 (million)
% 18.85/4.04 % (1147155)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4135966704:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 18.85/4.04 % TRYING [5]
% 18.85/4.04 % (1147155)Instruction limit reached!
% 18.85/4.04 % (1147155)------------------------------
% 18.85/4.04 % (1147155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147155)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147155)Termination reason: Instruction limit
% 18.85/4.04 % (1147155)Termination phase: Saturation
% 18.85/4.04 % (1147155)Time elapsed: 0.799 s
% 18.85/4.04 % (1147155)Peak memory usage: 31 MB
% 18.85/4.04 % (1147155)Instructions burned: 1472 (million)
% 18.85/4.04 % (1147157)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1067861089:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 18.85/4.04 % (1147157)Cannot represent all propositional literals internally
% 18.85/4.04 % (1147157)Refutation not found, incomplete strategy
% 18.85/4.04 % (1147157)------------------------------
% 18.85/4.04 % (1147157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147157)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147157)Termination reason: Refutation not found, incomplete strategy
% 18.85/4.04 % (1147157)Time elapsed: 0.055 s
% 18.85/4.04 % (1147157)Peak memory usage: 13 MB
% 18.85/4.04 % (1147157)Instructions burned: 112 (million)
% 18.85/4.04 % (1147157)------------------------------
% 18.85/4.04 % (1147157)------------------------------
% 18.85/4.04 % (1147159)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1930846753:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 18.85/4.04 % TRYING [7]
% 18.85/4.04 % TRYING [16]
% 18.85/4.04 % TRYING [6]
% 18.85/4.04 % (1147159)Instruction limit reached!
% 18.85/4.04 % (1147159)------------------------------
% 18.85/4.04 % (1147159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147159)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147159)Termination reason: Instruction limit
% 18.85/4.04 % (1147159)Termination phase: Finite model building constraint generation
% 18.85/4.04 % (1147159)Time elapsed: 0.801 s
% 18.85/4.04 % (1147159)Peak memory usage: 126 MB
% 18.85/4.04 % (1147159)Instructions burned: 2177 (million)
% 18.85/4.04 % (1147161)ott-2_1_sil=16000:newcnf=on:random_seed=3236310755:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 18.85/4.04 % (1147114) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1147108-1147114"...
% 18.85/4.04 % (1147114)...printing done.
% 18.85/4.04 % (1147114)Refutation found. Thanks to Tanya!
% 18.85/4.04 % SZS status Theorem for theBenchmark
% 18.85/4.04 % SZS output start Proof for theBenchmark
% See solution above
% 18.85/4.04 % (1147114)------------------------------
% 18.85/4.04 % (1147114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/4.04 % (1147114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/4.04 % (1147114)CaDiCaL version: 2.1.3
% 18.85/4.04 % (1147114)Termination reason: Refutation
% 18.85/4.04 % (1147114)Time elapsed: 3.539 s
% 18.85/4.04 % (1147114)Peak memory usage: 77 MB
% 18.85/4.04 % (1147114)Instructions burned: 11658 (million)
% 18.85/4.04 % (1147108)Success in time 3.625 s
% 18.85/4.04 % Vampire exiting
%------------------------------------------------------------------------------