%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM585+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:15:52 PM UTC 2026
% Result : Theorem 12.70s 2.78s
% Output : Refutation 14.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 146 ( 30 unt; 18 def)
% Number of atoms : 994 ( 153 equ)
% Maximal formula atoms : 47 ( 6 avg)
% Number of connectives : 1191 ( 343 ~; 305 |; 441 &)
% ( 41 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 8 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-2 aty)
% Number of variables : 274 ( 0 sgn 234 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
fof(f76,axiom,
( aFunction0(xc)
& ! [X0] :
( ( aElementOf0(X0,szDzozmdt0(xc))
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xK ) )
& ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) )
& sbrdtbr0(X0) = xK )
=> aElementOf0(X0,szDzozmdt0(xc)) ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X1) = X0 ) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f85,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [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) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& ( aElementOf0(X2,X1)
| X2 = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ) )
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X2,xS) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3965) ).
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(f87,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f88,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT) ) ) ),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f96,plain,
( aFunction0(xc)
& ! [X0] :
( ( aElementOf0(X0,szDzozmdt0(xc))
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xK ) )
& ( ( ( ( aSet0(X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X0,xS) )
& sbrdtbr0(X0) = xK )
=> aElementOf0(X0,szDzozmdt0(xc)) ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X4) = X3 ) )
& ! [X5] :
( aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X5,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(rectify,[],[f76]) ).
fof(f100,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [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))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) ) )
=> ( ( ( ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,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))
& ! [X5] :
( aElementOf0(X5,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X6)
& ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 ) ) )
& ! [X7] :
( aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X7,xS) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) ) ) ),
inference(rectify,[],[f85]) ).
fof(f101,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(f102,plain,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) ) )
=> ( ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X3,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT) ) ) ),
inference(rectify,[],[f88]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f203,plain,
( aFunction0(xc)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xK )
| ~ aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xK ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X4) = X3 ) )
& ! [X5] :
( aElementOf0(X5,xT)
| ~ aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(ennf_transformation,[],[f96]) ).
fof(f204,plain,
( aFunction0(xc)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xK )
| ~ aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xK ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X4) = X3 ) )
& ! [X5] :
( aElementOf0(X5,xT)
| ~ aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(flattening,[],[f203]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X6)
& ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 ) ) )
& ! [X7] :
( aElementOf0(X7,xS)
| ~ aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) )
| ~ aSet0(X1)
| ( ( ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X6)
& ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 ) ) )
& ! [X7] :
( aElementOf0(X7,xS)
| ~ aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) )
| ~ aSet0(X1)
| ( ( ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f214]) ).
fof(f216,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,[],[f101]) ).
fof(f217,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,[],[f216]) ).
fof(f218,plain,
? [X0] :
( ? [X3] :
( ~ aElementOf0(X3,xT)
& aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f219,plain,
? [X0] :
( ? [X3] :
( ~ aElementOf0(X3,xT)
& aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f218]) ).
fof(f234,definition,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
| ~ sP10(X0) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f235,definition,
! [X1,X0] :
( ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X6)
& ( aElementOf0(X6,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X6 ) ) )
| ~ sP11(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f236,definition,
! [X0,X1] :
( ( ( ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP10(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sP12(X0,X1) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP11(X1,X0)
& ! [X7] :
( aElementOf0(X7,xS)
| ~ aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) )
| ~ aSet0(X1)
| sP12(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f215,f236,f235,f234]) ).
fof(f238,definition,
! [X0] :
( ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X8)
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X8 ) )
| ~ sP13(X0) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f239,definition,
! [X0,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))))
& sP13(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) ) )
| ~ sP14(X0,X6) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f240,definition,
! [X0] :
( ! [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)
| sP14(X0,X6) )
| ~ sP15(X0) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f241,definition,
! [X0] :
( ! [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 ) )
| ~ sP16(X0) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f242,definition,
! [X0] :
( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X2 ) )
| ~ sP17(X0) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f243,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))))
& sP17(X0)
& sP16(X0)
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& sP15(X0) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(definition_folding,[],[f217,f242,f241,f240,f239,f238]) ).
fof(f303,plain,
( aFunction0(xc)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xK )
| ~ aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xK ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X3] :
( ( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X4) != X3 ) )
& ( ? [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X4) = X3 )
| ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X5] :
( aElementOf0(X5,xT)
| ~ aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(nnf_transformation,[],[f204]) ).
fof(f304,plain,
( aFunction0(xc)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xK )
| ~ aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xK ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X3] :
( ( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X4) != X3 ) )
& ( ? [X5] :
( aElementOf0(X5,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X5) = X3 )
| ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X6] :
( aElementOf0(X6,xT)
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(rectify,[],[f303]) ).
fof(f305,plain,
( aFunction0(xc)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xK )
| ~ aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
| ( ( ~ aSet0(X0)
| ( ~ aElementOf0(sK37(X0),xS)
& aElementOf0(sK37(X0),X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xK ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X3] :
( ( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X4) != X3 ) )
& ( ( aElementOf0(sK38(X3),szDzozmdt0(xc))
& sdtlpdtrp0(xc,sK38(X3)) = X3 )
| ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X6] :
( aElementOf0(X6,xT)
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38]),skolemize(X2,sK37(X0)),skolemize(X5,sK38(X3))],[f304]) ).
fof(f327,plain,
! [X0,X1] :
( ( ( ( ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) )
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP10(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sP12(X0,X1) ),
inference(nnf_transformation,[],[f236]) ).
fof(f328,plain,
! [X0,X1] :
( ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP10(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) ) )
| ~ sP12(X0,X1) ),
inference(rectify,[],[f327]) ).
fof(f329,plain,
! [X0,X1] :
( ( ( ( ~ aElementOf0(sK49(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK49(X0,X1),X1)
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP10(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) ) )
| ~ sP12(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X2,sK49(X0,X1))],[f328]) ).
fof(f336,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP11(X1,X0)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) )
| ~ aSet0(X1)
| sP12(X0,X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f237]) ).
fof(f340,plain,
! [X0] :
( ! [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 ) )
| ~ sP16(X0) ),
inference(nnf_transformation,[],[f241]) ).
fof(f341,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sbrdtbr0(X1) = xk )
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X1)
| ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X3,X1) ) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X1) != xk ) )
| ~ sP16(X0) ),
inference(rectify,[],[f340]) ).
fof(f342,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sbrdtbr0(X1) = xk )
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( ( ~ aSet0(X1)
| ( ~ aElementOf0(sK50(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK50(X0,X1),X1) ) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| sbrdtbr0(X1) != xk ) )
| ~ sP16(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X3,sK50(X0,X1))],[f341]) ).
fof(f343,plain,
! [X0] :
( ! [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 ) )
& ( ( aElement0(X11)
& ( aElementOf0(X11,X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X11 ) )
| ~ aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X6)
| sP14(X0,X6) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f240]) ).
fof(f344,plain,
! [X0] :
( ! [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 ) )
& ( ( aElement0(X11)
& ( aElementOf0(X11,X6)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X11 ) )
| ~ aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X6)
| sP14(X0,X6) )
| ~ sP15(X0) ),
inference(flattening,[],[f343]) ).
fof(f345,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& ! [X3] :
( ( aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElement0(X3)
| ( ~ aElementOf0(X3,X1)
& szmzizndt0(sdtlpdtrp0(xN,X0)) != X3 ) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3 ) )
| ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X1)
| sP14(X0,X1) )
| ~ sP15(X0) ),
inference(rectify,[],[f344]) ).
fof(f346,plain,
! [X0,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))))
& sP13(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) ) )
| ~ sP14(X0,X6) ),
inference(nnf_transformation,[],[f239]) ).
fof(f347,plain,
! [X0,X1] :
( ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X2,X1) )
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP13(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) ) )
| ~ sP14(X0,X1) ),
inference(rectify,[],[f346]) ).
fof(f348,plain,
! [X0,X1] :
( ( ( ( ~ aElementOf0(sK51(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK51(X0,X1),X1)
& ~ 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))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP13(X0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) ) )
| ~ sP14(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X2,sK51(X0,X1))],[f347]) ).
fof(f352,plain,
? [X0] :
( ? [X3] :
( ~ aElementOf0(X3,xT)
& aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1 ) )
& ( ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f219]) ).
fof(f353,plain,
? [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xT)
& aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
& ! [X2] :
( ( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ! [X3] :
( ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) != X2 ) )
& ( ? [X4] :
( aElementOf0(X4,szDzozmdt0(sdtlpdtrp0(xC,X0)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X0),X4) = X2 )
| ~ aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f352]) ).
fof(f354,plain,
( ~ aElementOf0(sK53,xT)
& aElementOf0(sK53,sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52))))
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52))),xT)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52))))
& ! [X2] :
( ( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52))))
| ! [X3] :
( ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,sK52)))
| sdtlpdtrp0(sdtlpdtrp0(xC,sK52),X3) != X2 ) )
& ( ( aElementOf0(sK54(X2),szDzozmdt0(sdtlpdtrp0(xC,sK52)))
& sdtlpdtrp0(sdtlpdtrp0(xC,sK52),sK54(X2)) = X2 )
| ~ aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52)))) ) )
& aElementOf0(sK52,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52,sK53,sK54]),skolemize(X0,sK52),skolemize(X1,sK53),skolemize(X4,sK54(X2))],[f353]) ).
fof(f486,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f506,plain,
! [X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X6,xT) ),
inference(cnf_transformation,[],[f305]) ).
fof(f511,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f305]) ).
fof(f519,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f305]) ).
fof(f588,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f329]) ).
fof(f600,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ aSet0(X1)
| sP12(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f336]) ).
fof(f618,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aSet0(X1)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f619,plain,
! [X0,X1] :
( sP14(X0,X1)
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f345]) ).
fof(f630,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f348]) ).
fof(f638,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP15(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f639,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f640,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP16(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f648,plain,
aElementOf0(sK52,szNzAzT0),
inference(cnf_transformation,[],[f354]) ).
fof(f649,plain,
! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,sK52),sK54(X2)) = X2
| ~ aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52)))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f650,plain,
! [X2] :
( aElementOf0(sK54(X2),szDzozmdt0(sdtlpdtrp0(xC,sK52)))
| ~ aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52)))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f654,plain,
aElementOf0(sK53,sdtlcdtrc0(sdtlpdtrp0(xC,sK52),szDzozmdt0(sdtlpdtrp0(xC,sK52)))),
inference(cnf_transformation,[],[f354]) ).
fof(f655,plain,
~ aElementOf0(sK53,xT),
inference(cnf_transformation,[],[f354]) ).
fof(f705,definition,
sF55 = sdtlpdtrp0(xC,sK52),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
fof(f706,plain,
sdtlpdtrp0(xC,sK52) = sF55,
inference(reorient_equations,[],[f705]) ).
fof(f707,definition,
sF56 = szDzozmdt0(sF55),
introduced(definition,[new_symbols(definition,[sF56])],[function_definition]) ).
fof(f708,plain,
szDzozmdt0(sF55) = sF56,
inference(reorient_equations,[],[f707]) ).
fof(f709,definition,
sF57 = sdtlcdtrc0(sF55,sF56),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f710,plain,
sdtlcdtrc0(sF55,sF56) = sF57,
inference(reorient_equations,[],[f709]) ).
fof(f711,plain,
aElementOf0(sK53,sF57),
inference(definition_folding,[],[f654,f710,f708,f706,f706]) ).
fof(f715,plain,
! [X2] :
( aElementOf0(sK54(X2),sF56)
| ~ aElementOf0(X2,sF57) ),
inference(definition_folding,[],[f650,f710,f708,f706,f706,f708,f706]) ).
fof(f716,plain,
! [X2] :
( ~ aElementOf0(X2,sF57)
| sdtlpdtrp0(sF55,sK54(X2)) = X2 ),
inference(definition_folding,[],[f649,f710,f708,f706,f706,f706]) ).
fof(f752,plain,
sK53 = sdtlpdtrp0(sF55,sK54(sK53)),
inference(resolution,[],[f716,f711]) ).
fof(f755,plain,
szDzozmdt0(sdtlpdtrp0(xC,sK52)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK52),szmzizndt0(sdtlpdtrp0(xN,sK52))),xk),
inference(resolution,[],[f648,f639]) ).
fof(f756,plain,
szDzozmdt0(sF55) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK52),szmzizndt0(sdtlpdtrp0(xN,sK52))),xk),
inference(forward_demodulation,[],[f755,f706]) ).
fof(f757,plain,
sF56 = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK52),szmzizndt0(sdtlpdtrp0(xN,sK52))),xk),
inference(forward_demodulation,[],[f756,f708]) ).
fof(f805,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aFunction0(xc)
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(resolution,[],[f486,f506]) ).
fof(f816,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xc,X0),xT)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(forward_subsumption_resolution,[],[f805,f519]) ).
fof(f979,plain,
! [X0] :
( ~ sP14(sK52,X0)
| ~ aElementOf0(X0,sF56) ),
inference(superposition,[],[f630,f757]) ).
fof(f980,plain,
! [X0] :
( ~ aElementOf0(X0,sF56)
| ~ aSet0(X0)
| sdtlpdtrp0(sdtlpdtrp0(xC,sK52),X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK52))))
| ~ sP15(sK52) ),
inference(resolution,[],[f979,f619]) ).
fof(f981,plain,
! [X0] :
( sdtlpdtrp0(sF55,X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK52))))
| ~ aElementOf0(X0,sF56)
| ~ aSet0(X0)
| ~ sP15(sK52) ),
inference(forward_demodulation,[],[f980,f706]) ).
fof(f983,definition,
( spl58_27
<=> sP15(sK52) ),
introduced(definition,[new_symbols(definition,[spl58_27])],[avatar_definition]) ).
fof(f985,plain,
( ~ sP15(sK52)
| spl58_27 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f987,definition,
( spl58_28
<=> ! [X0] :
( sdtlpdtrp0(sF55,X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK52))))
| ~ aSet0(X0)
| ~ aElementOf0(X0,sF56) ) ),
introduced(definition,[new_symbols(definition,[spl58_28])],[avatar_definition]) ).
fof(f988,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF56)
| ~ aSet0(X0)
| sdtlpdtrp0(sF55,X0) = sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,sK52)))) )
| ~ spl58_28 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f989,plain,
( ~ spl58_27
| spl58_28 ),
inference(avatar_split_clause,[],[f981,f987,f983]) ).
fof(f997,definition,
( spl58_29
<=> sP16(sK52) ),
introduced(definition,[new_symbols(definition,[spl58_29])],[avatar_definition]) ).
fof(f998,plain,
( sP16(sK52)
| ~ spl58_29 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f999,plain,
( ~ sP16(sK52)
| spl58_29 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1019,plain,
sP15(sK52),
inference(resolution,[],[f638,f648]) ).
fof(f1024,plain,
( $false
| spl58_27 ),
inference(forward_subsumption_resolution,[],[f1019,f985]) ).
fof(f1025,plain,
spl58_27,
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1026,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF57)
| sdtlpdtrp0(sF55,sK54(X0)) = sdtlpdtrp0(xc,sdtpldt0(sK54(X0),szmzizndt0(sdtlpdtrp0(xN,sK52))))
| ~ aSet0(sK54(X0)) )
| ~ spl58_28 ),
inference(resolution,[],[f988,f715]) ).
fof(f1041,plain,
( sdtlpdtrp0(sF55,sK54(sK53)) = sdtlpdtrp0(xc,sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52))))
| ~ aSet0(sK54(sK53))
| ~ spl58_28 ),
inference(resolution,[],[f1026,f711]) ).
fof(f1047,plain,
( sK53 = sdtlpdtrp0(xc,sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52))))
| ~ aSet0(sK54(sK53))
| ~ spl58_28 ),
inference(forward_demodulation,[],[f1041,f752]) ).
fof(f1049,definition,
( spl58_36
<=> aSet0(sK54(sK53)) ),
introduced(definition,[new_symbols(definition,[spl58_36])],[avatar_definition]) ).
fof(f1050,plain,
( aSet0(sK54(sK53))
| ~ spl58_36 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1051,plain,
( ~ aSet0(sK54(sK53))
| spl58_36 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1053,definition,
( spl58_37
<=> sK53 = sdtlpdtrp0(xc,sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52)))) ),
introduced(definition,[new_symbols(definition,[spl58_37])],[avatar_definition]) ).
fof(f1055,plain,
( sK53 = sdtlpdtrp0(xc,sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52))))
| ~ spl58_37 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1056,plain,
( ~ spl58_36
| spl58_37
| ~ spl58_28 ),
inference(avatar_split_clause,[],[f1047,f987,f1053,f1049]) ).
fof(f1066,plain,
sP16(sK52),
inference(resolution,[],[f640,f648]) ).
fof(f1072,plain,
( $false
| spl58_29 ),
inference(forward_subsumption_resolution,[],[f1066,f999]) ).
fof(f1073,plain,
spl58_29,
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1609,plain,
! [X0] :
( ~ sP12(sK52,X0)
| ~ aElementOf0(X0,sF56) ),
inference(superposition,[],[f588,f757]) ).
fof(f2248,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sF55))
| aSet0(X0)
| ~ sP16(sK52) ),
inference(superposition,[],[f618,f706]) ).
fof(f2249,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(sF55))
| aSet0(X0) )
| ~ spl58_29 ),
inference(forward_subsumption_resolution,[],[f2248,f998]) ).
fof(f2250,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF56)
| aSet0(X0) )
| ~ spl58_29 ),
inference(forward_demodulation,[],[f2249,f708]) ).
fof(f2255,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF57)
| aSet0(sK54(X0)) )
| ~ spl58_29 ),
inference(resolution,[],[f2250,f715]) ).
fof(f2271,plain,
( aSet0(sK54(sK53))
| ~ spl58_29 ),
inference(resolution,[],[f2255,f711]) ).
fof(f2278,plain,
( $false
| ~ spl58_29
| spl58_36 ),
inference(forward_subsumption_resolution,[],[f2271,f1051]) ).
fof(f2279,plain,
( ~ spl58_29
| spl58_36 ),
inference(avatar_contradiction_clause,[],[f2278]) ).
fof(f2340,plain,
( aElementOf0(sK53,xT)
| ~ aElementOf0(sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52))),szDzozmdt0(xc))
| ~ spl58_37 ),
inference(superposition,[],[f816,f1055]) ).
fof(f2346,plain,
( ~ aElementOf0(sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52))),szDzozmdt0(xc))
| ~ spl58_37 ),
inference(forward_subsumption_resolution,[],[f2340,f655]) ).
fof(f2348,definition,
( spl58_149
<=> aElementOf0(sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52))),szDzozmdt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl58_149])],[avatar_definition]) ).
fof(f2350,plain,
( ~ aElementOf0(sdtpldt0(sK54(sK53),szmzizndt0(sdtlpdtrp0(xN,sK52))),szDzozmdt0(xc))
| spl58_149 ),
inference(avatar_component_clause,[],[f2348]) ).
fof(f2357,plain,
( ~ spl58_149
| ~ spl58_37 ),
inference(avatar_split_clause,[],[f2346,f1053,f2348]) ).
fof(f3595,definition,
( spl58_232
<=> aElementOf0(sK54(sK53),sF56) ),
introduced(definition,[new_symbols(definition,[spl58_232])],[avatar_definition]) ).
fof(f3596,plain,
( aElementOf0(sK54(sK53),sF56)
| ~ spl58_232 ),
inference(avatar_component_clause,[],[f3595]) ).
fof(f3597,plain,
( ~ aElementOf0(sK54(sK53),sF56)
| spl58_232 ),
inference(avatar_component_clause,[],[f3595]) ).
fof(f3613,plain,
( ~ aElementOf0(sK53,sF57)
| spl58_232 ),
inference(resolution,[],[f3597,f715]) ).
fof(f3614,plain,
( $false
| spl58_232 ),
inference(forward_subsumption_resolution,[],[f3613,f711]) ).
fof(f3615,plain,
spl58_232,
inference(avatar_contradiction_clause,[],[f3614]) ).
fof(f3719,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1))),szDzozmdt0(xc))
| ~ aSet0(X0)
| sP12(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(superposition,[],[f600,f511]) ).
fof(f3740,plain,
( ~ aSet0(sK54(sK53))
| sP12(sK52,sK54(sK53))
| ~ aElementOf0(sK52,szNzAzT0)
| spl58_149 ),
inference(resolution,[],[f3719,f2350]) ).
fof(f3751,plain,
( sP12(sK52,sK54(sK53))
| ~ aElementOf0(sK52,szNzAzT0)
| ~ spl58_36
| spl58_149 ),
inference(forward_subsumption_resolution,[],[f3740,f1050]) ).
fof(f3752,plain,
( sP12(sK52,sK54(sK53))
| ~ spl58_36
| spl58_149 ),
inference(forward_subsumption_resolution,[],[f3751,f648]) ).
fof(f3753,plain,
( ~ aElementOf0(sK54(sK53),sF56)
| ~ spl58_36
| spl58_149 ),
inference(resolution,[],[f3752,f1609]) ).
fof(f3754,plain,
( $false
| ~ spl58_36
| spl58_149
| ~ spl58_232 ),
inference(forward_subsumption_resolution,[],[f3753,f3596]) ).
fof(f3755,plain,
( ~ spl58_36
| spl58_149
| ~ spl58_232 ),
inference(avatar_contradiction_clause,[],[f3754]) ).
cnf(s18,plain,
( ~ spl58_27
| spl58_28 ),
inference(sat_conversion,[],[f989]) ).
cnf(s22,plain,
spl58_27,
inference(sat_conversion,[],[f1025]) ).
cnf(s24,plain,
( ~ spl58_28
| ~ spl58_36
| spl58_37 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s25,plain,
spl58_29,
inference(sat_conversion,[],[f1073]) ).
cnf(s124,plain,
( ~ spl58_29
| spl58_36 ),
inference(sat_conversion,[],[f2279]) ).
cnf(s136,plain,
( ~ spl58_37
| ~ spl58_149 ),
inference(sat_conversion,[],[f2357]) ).
cnf(s203,plain,
spl58_232,
inference(sat_conversion,[],[f3615]) ).
cnf(s210,plain,
( ~ spl58_36
| spl58_149
| ~ spl58_232 ),
inference(sat_conversion,[],[f3755]) ).
cnf(s222,plain,
spl58_36,
inference(rat,[],[s124,s25]) ).
cnf(s223,plain,
spl58_149,
inference(rat,[],[s210,s203,s222]) ).
cnf(s224,plain,
~ spl58_37,
inference(rat,[],[s136,s223]) ).
cnf(s225,plain,
~ spl58_28,
inference(rat,[],[s24,s224,s222]) ).
cnf(s227,plain,
$false,
inference(rat,[],[s18,s225,s22]) ).
fof(f3756,plain,
$false,
inference(avatar_sat_refutation,[],[s227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM585+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:35:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.70/2.78 % (1760268)Detected formulas, will run a generic FOF schedule.
% 12.70/2.78 % (1760275)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=2002708537:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.70/2.78 % (1760277)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=408706924:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.70/2.78 % (1760276)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2304591163:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.70/2.78 % (1760279)dis-21_1_sil=8000:lcm=predicate:random_seed=1022729690: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)
% 12.70/2.78 % (1760273)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=3431315288:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.70/2.78 % (1760278)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3323236853:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.70/2.78 % (1760274)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=4135038670:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.70/2.78 % (1760276)Instruction limit reached!
% 12.70/2.78 % (1760276)------------------------------
% 12.70/2.78 % (1760276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760276)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760276)Termination reason: Instruction limit
% 12.70/2.78 % (1760276)Termination phase: Saturation
% 12.70/2.78 % (1760276)Time elapsed: 0.068 s
% 12.70/2.78 % (1760276)Peak memory usage: 90 MB
% 12.70/2.78 % (1760276)Instructions burned: 109 (million)
% 12.70/2.78 % (1760279)Instruction limit reached!
% 12.70/2.78 % (1760279)------------------------------
% 12.70/2.78 % (1760279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760279)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760279)Termination reason: Instruction limit
% 12.70/2.78 % (1760279)Termination phase: Saturation
% 12.70/2.78 % (1760279)Time elapsed: 0.071 s
% 12.70/2.78 % (1760279)Peak memory usage: 90 MB
% 12.70/2.78 % (1760279)Instructions burned: 130 (million)
% 12.70/2.78 % (1760277)Instruction limit reached!
% 12.70/2.78 % (1760277)------------------------------
% 12.70/2.78 % (1760277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760277)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760277)Termination reason: Instruction limit
% 12.70/2.78 % (1760277)Termination phase: Saturation
% 12.70/2.78 % (1760277)Time elapsed: 0.075 s
% 12.70/2.78 % (1760277)Peak memory usage: 89 MB
% 12.70/2.78 % (1760277)Instructions burned: 121 (million)
% 12.70/2.78 % (1760278)Instruction limit reached!
% 12.70/2.78 % (1760278)------------------------------
% 12.70/2.78 % (1760278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760278)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760278)Termination reason: Instruction limit
% 12.70/2.78 % (1760278)Termination phase: Saturation
% 12.70/2.78 % (1760278)Time elapsed: 0.105 s
% 12.70/2.78 % (1760278)Peak memory usage: 90 MB
% 12.70/2.78 % (1760278)Instructions burned: 139 (million)
% 12.70/2.78 % (1760287)lrs+10_1_sil=8000:sp=occurrence:random_seed=633707468:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.70/2.78 % (1760288)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2551963234:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.70/2.78 % (1760289)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2692911032:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.70/2.78 % (1760288)Refutation not found, incomplete strategy
% 12.70/2.78 % (1760288)------------------------------
% 12.70/2.78 % (1760288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760288)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760288)Termination reason: Refutation not found, incomplete strategy
% 12.70/2.78 % (1760288)Time elapsed: 0.050 s
% 12.70/2.78 % (1760288)Peak memory usage: 89 MB
% 12.70/2.78 % (1760288)Instructions burned: 78 (million)
% 12.70/2.78 % (1760290)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=718454978:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.70/2.78 % (1760287)Instruction limit reached!
% 12.70/2.78 % (1760287)------------------------------
% 12.70/2.78 % (1760287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760287)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760287)Termination reason: Instruction limit
% 12.70/2.78 % (1760287)Termination phase: Saturation
% 12.70/2.78 % (1760287)Time elapsed: 0.172 s
% 12.70/2.78 % (1760287)Peak memory usage: 92 MB
% 12.70/2.78 % (1760287)Instructions burned: 286 (million)
% 12.70/2.78 % (1760290)Instruction limit reached!
% 12.70/2.78 % (1760290)------------------------------
% 12.70/2.78 % (1760290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760290)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760290)Termination reason: Instruction limit
% 12.70/2.78 % (1760290)Termination phase: Saturation
% 12.70/2.78 % (1760290)Time elapsed: 0.152 s
% 12.70/2.78 % (1760290)Peak memory usage: 92 MB
% 12.70/2.78 % (1760290)Instructions burned: 249 (million)
% 12.70/2.78 % (1760289)Instruction limit reached!
% 12.70/2.78 % (1760289)------------------------------
% 12.70/2.78 % (1760289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760289)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760289)Termination reason: Instruction limit
% 12.70/2.78 % (1760289)Termination phase: Saturation
% 12.70/2.78 % (1760289)Time elapsed: 0.220 s
% 12.70/2.78 % (1760289)Peak memory usage: 92 MB
% 12.70/2.78 % (1760289)Instructions burned: 326 (million)
% 12.70/2.78 % (1760288)------------------------------
% 12.70/2.78 % (1760288)------------------------------
% 12.70/2.78 % (1760295)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1091145121:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.70/2.78 % (1760296)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4257628477:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.70/2.78 % (1760297)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2822067091:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.70/2.78 % (1760298)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3035480922:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 12.70/2.78 % (1760297)Instruction limit reached!
% 12.70/2.78 % (1760297)------------------------------
% 12.70/2.78 % (1760297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760297)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760297)Termination reason: Instruction limit
% 12.70/2.78 % (1760297)Termination phase: Saturation
% 12.70/2.78 % (1760297)Time elapsed: 0.072 s
% 12.70/2.78 % (1760297)Peak memory usage: 91 MB
% 12.70/2.78 % (1760297)Instructions burned: 114 (million)
% 12.70/2.78 % (1760298)Instruction limit reached!
% 12.70/2.78 % (1760298)------------------------------
% 12.70/2.78 % (1760298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760298)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760298)Termination reason: Instruction limit
% 12.70/2.78 % (1760298)Termination phase: Saturation
% 12.70/2.78 % (1760298)Time elapsed: 0.066 s
% 12.70/2.78 % (1760298)Peak memory usage: 89 MB
% 12.70/2.78 % (1760298)Instructions burned: 127 (million)
% 12.70/2.78 % (1760295)Instruction limit reached!
% 12.70/2.78 % (1760295)------------------------------
% 12.70/2.78 % (1760295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760295)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760295)Termination reason: Instruction limit
% 12.70/2.78 % (1760295)Termination phase: Saturation
% 12.70/2.78 % (1760295)Time elapsed: 0.180 s
% 12.70/2.78 % (1760295)Peak memory usage: 90 MB
% 12.70/2.78 % (1760295)Instructions burned: 295 (million)
% 12.70/2.78 % (1760303)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1567458320:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 12.70/2.78 % (1760304)lrs+10_1_sil=8000:sp=occurrence:random_seed=201231185:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.70/2.78 % (1760305)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3899032901:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 12.70/2.78 % (1760303)Instruction limit reached!
% 12.70/2.78 % (1760303)------------------------------
% 12.70/2.78 % (1760303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760303)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760303)Termination reason: Instruction limit
% 12.70/2.78 % (1760303)Termination phase: Saturation
% 12.70/2.78 % (1760303)Time elapsed: 0.072 s
% 12.70/2.78 % (1760303)Peak memory usage: 89 MB
% 12.70/2.78 % (1760303)Instructions burned: 114 (million)
% 12.70/2.78 % (1760309)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=151526624:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.70/2.78 % (1760305)Instruction limit reached!
% 12.70/2.78 % (1760305)------------------------------
% 12.70/2.78 % (1760305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760305)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760305)Termination reason: Instruction limit
% 12.70/2.78 % (1760305)Termination phase: Saturation
% 12.70/2.78 % (1760305)Time elapsed: 0.273 s
% 12.70/2.78 % (1760305)Peak memory usage: 93 MB
% 12.70/2.78 % (1760305)Instructions burned: 437 (million)
% 12.70/2.78 % (1760311)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1190725267:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 12.70/2.78 % (1760311)Instruction limit reached!
% 12.70/2.78 % (1760311)------------------------------
% 12.70/2.78 % (1760311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760311)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760311)Termination reason: Instruction limit
% 12.70/2.78 % (1760311)Termination phase: Saturation
% 12.70/2.78 % (1760311)Time elapsed: 0.079 s
% 12.70/2.78 % (1760311)Peak memory usage: 90 MB
% 12.70/2.78 % (1760311)Instructions burned: 135 (million)
% 12.70/2.78 % (1760304)Instruction limit reached!
% 12.70/2.78 % (1760304)------------------------------
% 12.70/2.78 % (1760304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760304)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760304)Termination reason: Instruction limit
% 12.70/2.78 % (1760304)Termination phase: Saturation
% 12.70/2.78 % (1760304)Time elapsed: 0.516 s
% 12.70/2.78 % (1760304)Peak memory usage: 97 MB
% 12.70/2.78 % (1760304)Instructions burned: 908 (million)
% 12.70/2.78 % (1760313)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2106141410:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 12.70/2.78 % (1760314)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=207896136:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 12.70/2.78 % (1760296)First to succeed.
% 12.70/2.78 % (1760296)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1760268"
% 12.70/2.78 % (1760313)Instruction limit reached!
% 12.70/2.78 % (1760313)------------------------------
% 12.70/2.78 % (1760313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.70/2.78 % (1760313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.78 % (1760313)CaDiCaL version: 2.1.3
% 12.70/2.78 % (1760313)Termination reason: Instruction limit
% 12.70/2.78 % (1760313)Termination phase: Saturation
% 12.70/2.78 % (1760313)Time elapsed: 0.346 s
% 12.70/2.78 % (1760313)Peak memory usage: 94 MB
% 12.70/2.78 % (1760313)Instructions burned: 592 (million)
% 12.70/2.78 % (1760296)Refutation found. Thanks to Tanya!
% 12.70/2.78 % SZS status Theorem for theBenchmark
% 12.70/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 14.18/2.97 % (1760296)------------------------------
% 14.18/2.97 % (1760296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.97 % (1760296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.97 % (1760296)CaDiCaL version: 2.1.3
% 14.18/2.97 % (1760296)Termination reason: Refutation
% 14.18/2.97 % (1760296)Time elapsed: 0.993 s
% 14.18/2.97 % (1760296)Peak memory usage: 135 MB
% 14.18/2.97 % (1760296)Instructions burned: 1488 (million)
% 14.18/2.97 % (1760296)------------------------------
% 14.18/2.97 % (1760296)------------------------------
% 14.18/2.97 % (1760268)Success in time 1.931 s
% 14.18/2.97 % Vampire exiting
%------------------------------------------------------------------------------