%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM579+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:24:53 PM UTC 2026
% Result : Theorem 11.31s 2.09s
% Output : Refutation 11.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 115 ( 22 unt; 6 def)
% Number of atoms : 494 ( 55 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 532 ( 153 ~; 148 |; 158 &)
% ( 24 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 111 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f43,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f75,axiom,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,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)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f85,conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ! [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)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f89,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( 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 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
inference(rectify,[],[f81]) ).
fof(f91,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,[],[f86]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f135,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f151,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f153]) ).
fof(f202,plain,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f207,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& 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 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f89]) ).
fof(f208,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& 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 ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
| ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f207]) ).
fof(f209,plain,
! [X0] :
( ( aSet0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f210,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f211,plain,
! [X0,X1] :
( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f210]) ).
fof(f214,plain,
? [X0] :
( ? [X1] :
( ( ( ? [X7] :
( ~ aElementOf0(X7,xS)
& aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ~ aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| xK != sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ~ aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& 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 ) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aSet0(X1)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& 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,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)) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f215,plain,
? [X0] :
( ? [X1] :
( ( ( ? [X7] :
( ~ aElementOf0(X7,xS)
& aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ~ aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) )
| xK != sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ~ aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& 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 ) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aSet0(X1)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& 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,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)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f214]) ).
fof(f216,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f225,plain,
! [X2,X0,X1] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f257,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f264,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f276,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f279,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f359,plain,
aSet0(xS),
inference(cnf_transformation,[],[f202]) ).
fof(f438,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f439,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f464,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f208]) ).
fof(f470,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f472,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f478,plain,
( xK != sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35))))
| aElementOf0(sK37,sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35)))) ),
inference(cnf_transformation,[],[f215]) ).
fof(f479,plain,
( xK != sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35))))
| ~ aElementOf0(sK37,xS) ),
inference(cnf_transformation,[],[f215]) ).
fof(f482,plain,
! [X6] :
( ~ aElementOf0(X6,sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35))))
| aElementOf0(X6,sK36)
| szmzizndt0(sdtlpdtrp0(xN,sK35)) = X6 ),
inference(cnf_transformation,[],[f215]) ).
fof(f484,plain,
! [X3] :
( szmzizndt0(sdtlpdtrp0(xN,sK35)) != X3
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK35),szmzizndt0(sdtlpdtrp0(xN,sK35)))) ),
inference(cnf_transformation,[],[f215]) ).
fof(f485,plain,
! [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK35),szmzizndt0(sdtlpdtrp0(xN,sK35))))
| aElementOf0(X3,sdtlpdtrp0(xN,sK35)) ),
inference(cnf_transformation,[],[f215]) ).
fof(f491,plain,
! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK35),szmzizndt0(sdtlpdtrp0(xN,sK35))))
| ~ aElementOf0(X4,sK36) ),
inference(cnf_transformation,[],[f215]) ).
fof(f493,plain,
xk = sbrdtbr0(sK36),
inference(cnf_transformation,[],[f215]) ).
fof(f496,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK35)),sdtlpdtrp0(xN,sK35)),
inference(cnf_transformation,[],[f215]) ).
fof(f497,plain,
aSet0(sK36),
inference(cnf_transformation,[],[f215]) ).
fof(f501,plain,
aElementOf0(sK35,szNzAzT0),
inference(cnf_transformation,[],[f215]) ).
fof(f554,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK35)),sdtmndt0(sdtlpdtrp0(xN,sK35),szmzizndt0(sdtlpdtrp0(xN,sK35)))),
inference(equality_resolution,[],[f484]) ).
fof(f559,definition,
( spl38_1
<=> aElementOf0(sK37,xS) ),
introduced(definition,[new_symbols(definition,[spl38_1])],[avatar_definition]) ).
fof(f561,plain,
( ~ aElementOf0(sK37,xS)
| spl38_1 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f563,definition,
( spl38_2
<=> xK = sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35)))) ),
introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition]) ).
fof(f565,plain,
( xK != sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35))))
| spl38_2 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( ~ spl38_1
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f479,f563,f559]) ).
fof(f569,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK35)),sK36),
inference(resolution,[],[f554,f491]) ).
fof(f570,plain,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,sK35))
| ~ aElementOf0(X0,sK36) ),
inference(resolution,[],[f485,f491]) ).
fof(f576,definition,
( spl38_4
<=> aElement0(szmzizndt0(sdtlpdtrp0(xN,sK35))) ),
introduced(definition,[new_symbols(definition,[spl38_4])],[avatar_definition]) ).
fof(f577,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,sK35)))
| ~ spl38_4 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f578,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK35)))
| spl38_4 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f581,definition,
( spl38_5
<=> aElementOf0(sK37,sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35)))) ),
introduced(definition,[new_symbols(definition,[spl38_5])],[avatar_definition]) ).
fof(f583,plain,
( aElementOf0(sK37,sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35))))
| ~ spl38_5 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,plain,
( spl38_5
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f478,f563,f581]) ).
fof(f605,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK35)),X0)
| ~ aSet0(X0) )
| spl38_4 ),
inference(resolution,[],[f216,f578]) ).
fof(f606,plain,
( ~ aSet0(sdtlpdtrp0(xN,sK35))
| spl38_4 ),
inference(resolution,[],[f605,f496]) ).
fof(f614,plain,
( ~ aElementOf0(sK35,szNzAzT0)
| spl38_4 ),
inference(resolution,[],[f606,f470]) ).
fof(f616,plain,
( $false
| spl38_4 ),
inference(forward_subsumption_resolution,[],[f614,f501]) ).
fof(f617,plain,
spl38_4,
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f641,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(sK36)
| ~ aSet0(sK36) ),
inference(superposition,[],[f276,f493]) ).
fof(f644,plain,
( isFinite0(sK36)
| ~ aSet0(sK36) ),
inference(forward_subsumption_resolution,[],[f641,f439]) ).
fof(f645,plain,
isFinite0(sK36),
inference(forward_subsumption_resolution,[],[f644,f497]) ).
fof(f912,plain,
( ! [X0] :
( ~ aElementOf0(sK37,X0)
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) )
| spl38_1 ),
inference(resolution,[],[f225,f561]) ).
fof(f915,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(sK37,X0) )
| spl38_1 ),
inference(forward_subsumption_resolution,[],[f912,f359]) ).
fof(f1858,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f472,f464]) ).
fof(f1861,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1858,f264]) ).
fof(f1867,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1861,f257]) ).
fof(f1995,plain,
( ~ aSet0(sK36)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK35)))
| ~ isFinite0(sK36)
| sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35)))) = szszuzczcdt0(sbrdtbr0(sK36)) ),
inference(resolution,[],[f279,f569]) ).
fof(f2007,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK35)))
| ~ isFinite0(sK36)
| sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35)))) = szszuzczcdt0(sbrdtbr0(sK36)) ),
inference(forward_subsumption_resolution,[],[f1995,f497]) ).
fof(f2031,plain,
( ~ isFinite0(sK36)
| sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35)))) = szszuzczcdt0(sbrdtbr0(sK36))
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f2007,f577]) ).
fof(f2037,plain,
( sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35)))) = szszuzczcdt0(sbrdtbr0(sK36))
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f2031,f645]) ).
fof(f2040,plain,
( szszuzczcdt0(xk) = sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35))))
| ~ spl38_4 ),
inference(forward_demodulation,[],[f2037,f493]) ).
fof(f2043,plain,
( xK = sbrdtbr0(sdtpldt0(sK36,szmzizndt0(sdtlpdtrp0(xN,sK35))))
| ~ spl38_4 ),
inference(forward_demodulation,[],[f2040,f438]) ).
fof(f2044,plain,
( $false
| spl38_2
| ~ spl38_4 ),
inference(forward_subsumption_resolution,[],[f2043,f565]) ).
fof(f2045,plain,
( spl38_2
| ~ spl38_4 ),
inference(avatar_contradiction_clause,[],[f2044]) ).
fof(f2046,plain,
( aElementOf0(sK37,sK36)
| sK37 = szmzizndt0(sdtlpdtrp0(xN,sK35))
| ~ spl38_5 ),
inference(resolution,[],[f583,f482]) ).
fof(f5720,definition,
( spl38_50
<=> sK37 = szmzizndt0(sdtlpdtrp0(xN,sK35)) ),
introduced(definition,[new_symbols(definition,[spl38_50])],[avatar_definition]) ).
fof(f5722,plain,
( sK37 = szmzizndt0(sdtlpdtrp0(xN,sK35))
| ~ spl38_50 ),
inference(avatar_component_clause,[],[f5720]) ).
fof(f5724,definition,
( spl38_51
<=> aElementOf0(sK37,sK36) ),
introduced(definition,[new_symbols(definition,[spl38_51])],[avatar_definition]) ).
fof(f5726,plain,
( aElementOf0(sK37,sK36)
| ~ spl38_51 ),
inference(avatar_component_clause,[],[f5724]) ).
fof(f5727,plain,
( spl38_50
| spl38_51
| ~ spl38_5 ),
inference(avatar_split_clause,[],[f2046,f581,f5724,f5720]) ).
fof(f5739,plain,
( aElementOf0(sK37,sdtlpdtrp0(xN,sK35))
| ~ spl38_50 ),
inference(superposition,[],[f496,f5722]) ).
fof(f12934,plain,
( ! [X0] :
( ~ aElementOf0(sK37,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
| spl38_1 ),
inference(resolution,[],[f1867,f915]) ).
fof(f12975,plain,
( ~ aElementOf0(sK35,szNzAzT0)
| spl38_1
| ~ spl38_50 ),
inference(resolution,[],[f12934,f5739]) ).
fof(f12979,plain,
( ~ aElementOf0(sK35,szNzAzT0)
| ~ aElementOf0(sK37,sK36)
| spl38_1 ),
inference(resolution,[],[f12934,f570]) ).
fof(f12992,plain,
( ~ aElementOf0(sK37,sK36)
| spl38_1 ),
inference(forward_subsumption_resolution,[],[f12979,f501]) ).
fof(f12994,plain,
( $false
| spl38_1
| ~ spl38_50 ),
inference(forward_subsumption_resolution,[],[f12975,f501]) ).
fof(f12995,plain,
( spl38_1
| ~ spl38_50 ),
inference(avatar_contradiction_clause,[],[f12994]) ).
fof(f13122,plain,
( $false
| spl38_1
| ~ spl38_51 ),
inference(forward_subsumption_resolution,[],[f12992,f5726]) ).
fof(f13123,plain,
( spl38_1
| ~ spl38_51 ),
inference(avatar_contradiction_clause,[],[f13122]) ).
cnf(s1,plain,
( ~ spl38_1
| ~ spl38_2 ),
inference(sat_conversion,[],[f566]) ).
cnf(s3,plain,
( ~ spl38_2
| spl38_5 ),
inference(sat_conversion,[],[f584]) ).
cnf(s4,plain,
spl38_4,
inference(sat_conversion,[],[f617]) ).
cnf(s27,plain,
( spl38_2
| ~ spl38_4 ),
inference(sat_conversion,[],[f2045]) ).
cnf(s46,plain,
( ~ spl38_5
| spl38_50
| spl38_51 ),
inference(sat_conversion,[],[f5727]) ).
cnf(s103,plain,
( spl38_1
| ~ spl38_50 ),
inference(sat_conversion,[],[f12995]) ).
cnf(s104,plain,
( spl38_1
| ~ spl38_51 ),
inference(sat_conversion,[],[f13123]) ).
cnf(s111,plain,
spl38_2,
inference(rat,[],[s27,s4]) ).
cnf(s113,plain,
spl38_5,
inference(rat,[],[s3,s111]) ).
cnf(s117,plain,
~ spl38_1,
inference(rat,[],[s1,s111]) ).
cnf(s118,plain,
~ spl38_51,
inference(rat,[],[s104,s117]) ).
cnf(s119,plain,
~ spl38_50,
inference(rat,[],[s103,s117]) ).
cnf(s121,plain,
$false,
inference(rat,[],[s46,s113,s118,s119]) ).
fof(f13124,plain,
$false,
inference(avatar_sat_refutation,[],[s121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM579+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:35:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.31/2.09 % (3386457)Will run a generic schedule for satisfiability detection.
% 11.31/2.09 % (3386462)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3765710344_2999 on theBenchmark for (2999ds/0Mi)
% 11.31/2.09 % (3386463)% WARNING: option uhcvi not known.
% 11.31/2.09 % (3386466)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2670711900:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.31/2.09 % (3386463)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4190324573:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.31/2.09 % (3386464)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3568349:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.31/2.09 % (3386465)dis+10_1_sil=32000:sp=arity:random_seed=2541222369:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.31/2.09 % (3386467)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1118002315:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.31/2.09 % (3386468)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3992586547:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.31/2.09 % TRYING [1]
% 11.31/2.09 % TRYING [2]
% 11.31/2.09 % TRYING [3]
% 11.31/2.09 % TRYING [4]
% 11.31/2.09 % (3386465)Instruction limit reached!
% 11.31/2.09 % (3386465)------------------------------
% 11.31/2.09 % (3386465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386465)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386465)Termination reason: Instruction limit
% 11.31/2.09 % (3386465)Termination phase: Saturation
% 11.31/2.09 % (3386465)Time elapsed: 0.068 s
% 11.31/2.09 % (3386465)Peak memory usage: 13 MB
% 11.31/2.09 % (3386465)Instructions burned: 103 (million)
% 11.31/2.09 % (3386466)Instruction limit reached!
% 11.31/2.09 % (3386466)------------------------------
% 11.31/2.09 % (3386466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386466)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386466)Termination reason: Instruction limit
% 11.31/2.09 % (3386466)Termination phase: Saturation
% 11.31/2.09 % (3386466)Time elapsed: 0.075 s
% 11.31/2.09 % (3386466)Peak memory usage: 13 MB
% 11.31/2.09 % (3386466)Instructions burned: 119 (million)
% 11.31/2.09 % (3386467)Instruction limit reached!
% 11.31/2.09 % (3386467)------------------------------
% 11.31/2.09 % (3386467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386467)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386467)Termination reason: Instruction limit
% 11.31/2.09 % (3386467)Termination phase: Saturation
% 11.31/2.09 % (3386467)Time elapsed: 0.082 s
% 11.31/2.09 % (3386467)Peak memory usage: 13 MB
% 11.31/2.09 % (3386467)Instructions burned: 132 (million)
% 11.31/2.09 % (3386476)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=856814879:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.31/2.09 % (3386477)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2413911945:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.31/2.09 % TRYING [5]
% 11.31/2.09 % (3386478)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=1269276889:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.31/2.09 % (3386468)Instruction limit reached!
% 11.31/2.09 % (3386468)------------------------------
% 11.31/2.09 % (3386468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386468)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386468)Termination reason: Instruction limit
% 11.31/2.09 % (3386468)Termination phase: Saturation
% 11.31/2.09 % (3386468)Time elapsed: 0.106 s
% 11.31/2.09 % (3386468)Peak memory usage: 15 MB
% 11.31/2.09 % (3386468)Instructions burned: 160 (million)
% 11.31/2.09 % TRYING [1]
% 11.31/2.09 % TRYING [2]
% 11.31/2.09 % TRYING [3]
% 11.31/2.09 % (3386482)ott-21_1_sil=16000:fs=off:random_seed=2556652863:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.31/2.09 % TRYING [4]
% 11.31/2.09 % (3386477)Instruction limit reached!
% 11.31/2.09 % (3386477)------------------------------
% 11.31/2.09 % (3386477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386477)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386477)Termination reason: Instruction limit
% 11.31/2.09 % (3386477)Termination phase: Saturation
% 11.31/2.09 % (3386477)Time elapsed: 0.085 s
% 11.31/2.09 % (3386477)Peak memory usage: 13 MB
% 11.31/2.09 % (3386477)Instructions burned: 132 (million)
% 11.31/2.09 % (3386484)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=975799547:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.31/2.09 % (3386482)Instruction limit reached!
% 11.31/2.09 % (3386482)------------------------------
% 11.31/2.09 % (3386482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386482)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386482)Termination reason: Instruction limit
% 11.31/2.09 % (3386482)Termination phase: Saturation
% 11.31/2.09 % (3386482)Time elapsed: 0.104 s
% 11.31/2.09 % (3386482)Peak memory usage: 13 MB
% 11.31/2.09 % (3386482)Instructions burned: 181 (million)
% 11.31/2.09 % TRYING [5]
% 11.31/2.09 % (3386486)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=400436126:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.31/2.09 % TRYING [1]
% 11.31/2.09 % TRYING [2]
% 11.31/2.09 % TRYING [3]
% 11.31/2.09 % TRYING [6]
% 11.31/2.09 % (3386476)Instruction limit reached!
% 11.31/2.09 % (3386476)------------------------------
% 11.31/2.09 % (3386476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386476)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386476)Termination reason: Instruction limit
% 11.31/2.09 % (3386476)Termination phase: Finite model building constraint generation
% 11.31/2.09 % (3386476)Time elapsed: 0.276 s
% 11.31/2.09 % (3386476)Peak memory usage: 34 MB
% 11.31/2.09 % (3386476)Instructions burned: 715 (million)
% 11.31/2.09 % (3386488)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2178521876:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 11.31/2.09 % TRYING [4]
% 11.31/2.09 % (3386478)Instruction limit reached!
% 11.31/2.09 % (3386478)------------------------------
% 11.31/2.09 % (3386478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386478)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386478)Termination reason: Instruction limit
% 11.31/2.09 % (3386478)Termination phase: Saturation
% 11.31/2.09 % (3386478)Time elapsed: 0.401 s
% 11.31/2.09 % (3386478)Peak memory usage: 18 MB
% 11.31/2.09 % (3386478)Instructions burned: 684 (million)
% 11.31/2.09 % (3386484)Instruction limit reached!
% 11.31/2.09 % (3386484)------------------------------
% 11.31/2.09 % (3386484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386484)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386484)Termination reason: Instruction limit
% 11.31/2.09 % (3386484)Termination phase: Saturation
% 11.31/2.09 % (3386484)Time elapsed: 0.316 s
% 11.31/2.09 % (3386484)Peak memory usage: 15 MB
% 11.31/2.09 % (3386484)Instructions burned: 477 (million)
% 11.31/2.09 % (3386490)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=107340459:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 11.31/2.09 % (3386491)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=543024722: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)
% 11.31/2.09 % (3386486)Instruction limit reached!
% 11.31/2.09 % (3386486)------------------------------
% 11.31/2.09 % (3386486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386486)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386486)Termination reason: Instruction limit
% 11.31/2.09 % (3386486)Termination phase: Finite model building SAT solving
% 11.31/2.09 % (3386486)Time elapsed: 0.380 s
% 11.31/2.09 % (3386486)Peak memory usage: 29 MB
% 11.31/2.09 % (3386486)Instructions burned: 865 (million)
% 11.31/2.09 % (3386494)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=691885356:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 11.31/2.09 % (3386491)Instruction limit reached!
% 11.31/2.09 % (3386491)------------------------------
% 11.31/2.09 % (3386491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386491)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386491)Termination reason: Instruction limit
% 11.31/2.09 % (3386491)Termination phase: Saturation
% 11.31/2.09 % (3386491)Time elapsed: 0.331 s
% 11.31/2.09 % (3386491)Peak memory usage: 18 MB
% 11.31/2.09 % (3386491)Instructions burned: 694 (million)
% 11.31/2.09 % (3386496)fmb+10_1_sil=64000:random_seed=919544612:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 11.31/2.09 % TRYING [1]
% 11.31/2.09 % TRYING [2]
% 11.31/2.09 % (3386490)Instruction limit reached!
% 11.31/2.09 % (3386490)------------------------------
% 11.31/2.09 % (3386490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386490)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386490)Termination reason: Instruction limit
% 11.31/2.09 % (3386490)Termination phase: Finite model building constraint generation
% 11.31/2.09 % (3386490)Time elapsed: 0.410 s
% 11.31/2.09 % (3386490)Peak memory usage: 105 MB
% 11.31/2.09 % (3386490)Instructions burned: 889 (million)
% 11.31/2.09 % TRYING [3]
% 11.31/2.09 % TRYING [7]
% 11.31/2.09 % (3386498)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1702671950:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 11.31/2.09 % TRYING [20]
% 11.31/2.09 % TRYING [4]
% 11.31/2.09 % (3386488)Instruction limit reached!
% 11.31/2.09 % (3386488)------------------------------
% 11.31/2.09 % (3386488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386488)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386488)Termination reason: Instruction limit
% 11.31/2.09 % (3386488)Termination phase: Saturation
% 11.31/2.09 % (3386488)Time elapsed: 0.705 s
% 11.31/2.09 % (3386488)Peak memory usage: 24 MB
% 11.31/2.09 % (3386488)Instructions burned: 1180 (million)
% 11.31/2.09 % (3386500)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3140253727:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 11.31/2.09 % TRYING [8]
% 11.31/2.09 % (3386494)Instruction limit reached!
% 11.31/2.09 % (3386494)------------------------------
% 11.31/2.09 % (3386494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386494)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386494)Termination reason: Instruction limit
% 11.31/2.09 % (3386494)Termination phase: Saturation
% 11.31/2.09 % (3386494)Time elapsed: 0.488 s
% 11.31/2.09 % (3386494)Peak memory usage: 21 MB
% 11.31/2.09 % (3386494)Instructions burned: 879 (million)
% 11.31/2.09 % (3386502)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=614559018:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 11.31/2.09 % TRYING [5]
% 11.31/2.09 % (3386500)Instruction limit reached!
% 11.31/2.09 % (3386500)------------------------------
% 11.31/2.09 % (3386500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386500)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386500)Termination reason: Instruction limit
% 11.31/2.09 % (3386500)Termination phase: Finite model building constraint generation
% 11.31/2.09 % (3386500)Time elapsed: 0.306 s
% 11.31/2.09 % (3386500)Peak memory usage: 56 MB
% 11.31/2.09 % (3386500)Instructions burned: 920 (million)
% 11.31/2.09 % (3386504)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2487088895:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 11.31/2.09 % (3386502) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3386457-3386502"...
% 11.31/2.09 % (3386502)...printing done.
% 11.31/2.09 % (3386502)Refutation found. Thanks to Tanya!
% 11.31/2.09 % SZS status Theorem for theBenchmark
% 11.31/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 11.31/2.09 % (3386502)------------------------------
% 11.31/2.09 % (3386502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.09 % (3386502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.09 % (3386502)CaDiCaL version: 2.1.3
% 11.31/2.09 % (3386502)Termination reason: Refutation
% 11.31/2.09 % (3386502)Time elapsed: 0.428 s
% 11.31/2.09 % (3386502)Peak memory usage: 17 MB
% 11.31/2.09 % (3386502)Instructions burned: 701 (million)
% 11.31/2.09 % (3386457)Success in time 1.661 s
% 11.31/2.09 % Vampire exiting
%------------------------------------------------------------------------------