%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM579+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 : Sun Sep 27 08:13:13 AM UTC 2026
% Result : Theorem 40.12s 7.92s
% Output : CNFRefutation 40.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 23 unt; 0 def)
% Number of atoms : 226 ( 30 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 228 ( 69 ~; 70 |; 50 &)
% ( 6 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mEOfElem,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ) ).
fof(mNATSet,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0) ).
fof(mZeroLess,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ) ).
fof(mCardNum,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ) ).
fof(mCardCons,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ) ).
fof(m__3533,hypothesis,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ) ).
fof(m__3623,hypothesis,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ) ).
fof(m__3671,hypothesis,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) ).
fof(m__3754,hypothesis,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ) ).
fof(m__,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(X1) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( X2 = szmzizndt0(sdtlpdtrp0(xN,X0))
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ( sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& ( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X2,xS) ) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aSet0(X1) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( X2 = szmzizndt0(sdtlpdtrp0(xN,X0))
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ( sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& ( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X2,xS) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c0,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mEOfElem]) ).
cnf(c52,plain,
aSet0(szNzAzT0),
inference(clausification,[status(esa)],[mNATSet]) ).
cnf(c54,plain,
aElementOf0(sz00,szNzAzT0),
inference(clausification,[status(esa)],[mZeroNum]) ).
cnf(c61,plain,
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mZeroLess]) ).
cnf(c72,plain,
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mCardNum]) ).
cnf(c76,plain,
( ~ aSet0(X1)
| ~ isFinite0(X1)
| sbrdtbr0(sdtpldt0(X1,X0)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X0,X1)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[mCardCons]) ).
cnf(c225,plain,
aElementOf0(xk,szNzAzT0),
inference(clausification,[status(esa)],[m__3533]) ).
cnf(c226,plain,
szszuzczcdt0(xk) = xK,
inference(clausification,[status(esa)],[m__3533]) ).
cnf(c229,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(clausification,[status(esa)],[m__3623]) ).
cnf(c245,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__3671]) ).
cnf(c248,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,X1) ),
inference(clausification,[status(esa)],[m__3754]) ).
cnf(c256,plain,
aElementOf0(sK204,szNzAzT0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c257,plain,
aSet0(sK205),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c258,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),sdtlpdtrp0(xN,sK204)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c262,plain,
( aElementOf0(X0,sdtlpdtrp0(xN,sK204))
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK204),szmzizndt0(sdtlpdtrp0(xN,sK204)))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c263,plain,
( X0 != szmzizndt0(sdtlpdtrp0(xN,sK204))
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK204),szmzizndt0(sdtlpdtrp0(xN,sK204)))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c265,plain,
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK204),szmzizndt0(sdtlpdtrp0(xN,sK204))))
| ~ aElementOf0(X0,sK205) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c267,plain,
sbrdtbr0(sK205) = xk,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c273,plain,
( X0 = szmzizndt0(sdtlpdtrp0(xN,sK204))
| aElementOf0(X0,sK205)
| ~ aElementOf0(X0,sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c276,plain,
( sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) != xK
| aElementOf0(sK211,sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c277,plain,
( sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) != xK
| ~ aElementOf0(sK211,xS) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),sdtmndt0(sdtlpdtrp0(xN,sK204),szmzizndt0(sdtlpdtrp0(xN,sK204)))),
inference(equality_resolution,[status(thm)],[c263]) ).
cnf(d1,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),sK205),
inference(resolution,[status(thm)],[d0,c265]) ).
cnf(d2,plain,
( ~ isFinite0(sK205)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK204)))
| ~ aSet0(sK205)
| sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) = szszuzczcdt0(sbrdtbr0(sK205)) ),
inference(resolution,[status(thm)],[c76,d1]) ).
cnf(d3,plain,
( ~ isFinite0(sK205)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK204)))
| ~ aSet0(sK205)
| sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) = szszuzczcdt0(xk) ),
inference(demodulation,[status(thm)],[d2,c267]) ).
cnf(d4,plain,
( ~ isFinite0(sK205)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK204)))
| ~ aSet0(sK205)
| sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) = xK ),
inference(demodulation,[status(thm)],[d3,c226]) ).
cnf(d5,plain,
( ~ isFinite0(sK205)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK204)))
| sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) = xK ),
inference(resolution,[status(thm)],[c257,d4]) ).
cnf(d6,plain,
( isFinite0(sK205)
| ~ aSet0(sK205)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[status(thm)],[c267,c72]) ).
cnf(d7,plain,
( isFinite0(sK205)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[status(thm)],[c257,d6]) ).
cnf(d8,plain,
isFinite0(sK205),
inference(resolution,[status(thm)],[c225,d7]) ).
cnf(d9,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK204)))
| sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) = xK ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( ~ aElementOf0(sK204,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),szNzAzT0) ),
inference(resolution,[status(thm)],[c245,c258]) ).
cnf(d11,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),szNzAzT0),
inference(resolution,[status(thm)],[c256,d10]) ).
cnf(d12,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,sK204)))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
aElement0(szmzizndt0(sdtlpdtrp0(xN,sK204))),
inference(resolution,[status(thm)],[c52,d12]) ).
cnf(d14,plain,
sbrdtbr0(sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))) = xK,
inference(resolution,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
aElementOf0(sK211,sdtpldt0(sK205,szmzizndt0(sdtlpdtrp0(xN,sK204)))),
inference(resolution,[status(thm)],[d14,c276]) ).
cnf(d16,plain,
( aElementOf0(sK211,sK205)
| sK211 = szmzizndt0(sdtlpdtrp0(xN,sK204)) ),
inference(resolution,[status(thm)],[d15,c273]) ).
cnf(d17,plain,
( ~ aElementOf0(X0,sK205)
| aElementOf0(X0,sdtlpdtrp0(xN,sK204)) ),
inference(resolution,[status(thm)],[c262,c265]) ).
cnf(d18,plain,
( ~ aElementOf0(X0,sK205)
| ~ sdtlseqdt0(X1,sK204)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(sK204,szNzAzT0) ),
inference(resolution,[status(thm)],[c248,d17]) ).
cnf(d19,plain,
( ~ sdtlseqdt0(X0,sK204)
| ~ aElementOf0(X1,sK205)
| aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c256,d18]) ).
cnf(d20,plain,
( ~ sdtlseqdt0(sz00,sK204)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,sK205)
| aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c229,d19]) ).
cnf(d21,plain,
( ~ sdtlseqdt0(sz00,sK204)
| ~ aElementOf0(X0,sK205)
| aElementOf0(X0,xS) ),
inference(resolution,[status(thm)],[c54,d20]) ).
cnf(d22,plain,
sdtlseqdt0(sz00,sK204),
inference(resolution,[status(thm)],[c61,c256]) ).
cnf(d23,plain,
( ~ aElementOf0(X0,sK205)
| aElementOf0(X0,xS) ),
inference(resolution,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
( sK211 = szmzizndt0(sdtlpdtrp0(xN,sK204))
| aElementOf0(sK211,xS) ),
inference(resolution,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
~ aElementOf0(sK211,xS),
inference(resolution,[status(thm)],[d14,c277]) ).
cnf(d26,plain,
sK211 = szmzizndt0(sdtlpdtrp0(xN,sK204)),
inference(resolution,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
( ~ sdtlseqdt0(X0,sK204)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(sK204,szNzAzT0) ),
inference(resolution,[status(thm)],[c248,c258]) ).
cnf(d28,plain,
( ~ sdtlseqdt0(X0,sK204)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c256,d27]) ).
cnf(d29,plain,
( ~ sdtlseqdt0(sz00,sK204)
| ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),xS) ),
inference(superposition,[status(thm)],[c229,d28]) ).
cnf(d30,plain,
( ~ sdtlseqdt0(sz00,sK204)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),xS) ),
inference(resolution,[status(thm)],[c54,d29]) ).
cnf(d31,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK204)),xS),
inference(resolution,[status(thm)],[d22,d30]) ).
cnf(d32,plain,
aElementOf0(sK211,xS),
inference(demodulation,[status(thm)],[d31,d26]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d25,d32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM579+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 03:19:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.12/7.92 % SZS status Theorem for theBenchmark.p
% 40.12/7.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------