%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM612+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 08:13:20 AM UTC 2026
% Result : Theorem 25.45s 3.69s
% Output : CNFRefutation 25.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 93 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 86 ( 33 ~; 26 |; 16 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSubFSet,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ) ).
fof(mCardNum,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ) ).
fof(mCardDiff,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0) ).
fof(m__5078,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ) ).
fof(m__5147,hypothesis,
( xp = szmzizndt0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ) ).
fof(m__5164,hypothesis,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( X0 != szmzizndt0(xQ)
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& aSet0(xP) ) ).
fof(m__5195,hypothesis,
( aSubsetOf0(xP,xQ)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ) ).
fof(m__,conjecture,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c11,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mSubFSet]) ).
cnf(c72,plain,
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mCardNum]) ).
cnf(c73,plain,
( ~ isFinite0(X0)
| aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mCardNum]) ).
cnf(c77,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mCardDiff]) ).
cnf(c174,plain,
aElementOf0(xK,szNzAzT0),
inference(clausification,[status(esa)],[m__3418]) ).
cnf(c412,plain,
aSet0(xQ),
inference(clausification,[status(esa)],[m__5078]) ).
cnf(c415,plain,
sbrdtbr0(xQ) = xK,
inference(clausification,[status(esa)],[m__5078]) ).
cnf(c427,plain,
aElementOf0(xp,xQ),
inference(clausification,[status(esa)],[m__5147]) ).
cnf(c429,plain,
xp = szmzizndt0(xQ),
inference(clausification,[status(esa)],[m__5147]) ).
cnf(c430,plain,
aSet0(xP),
inference(clausification,[status(esa)],[m__5164]) ).
cnf(c436,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(clausification,[status(esa)],[m__5164]) ).
cnf(c441,plain,
aSubsetOf0(xP,xQ),
inference(clausification,[status(esa)],[m__5195]) ).
cnf(c444,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| szszuzczcdt0(sbrdtbr0(xP)) != xK ),
inference(demodulation,[status(thm)],[c444,c415]) ).
cnf(d1,plain,
xP = sdtmndt0(xQ,xp),
inference(demodulation,[status(thm)],[c436,c429]) ).
cnf(d2,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp))) = sbrdtbr0(xQ) ),
inference(resolution,[status(thm)],[c77,c427]) ).
cnf(d3,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| szszuzczcdt0(sbrdtbr0(xP)) = xK ),
inference(demodulation,[status(thm)],[d3,c415]) ).
cnf(d5,plain,
( ~ isFinite0(xQ)
| szszuzczcdt0(sbrdtbr0(xP)) = xK ),
inference(resolution,[status(thm)],[c412,d4]) ).
cnf(d6,plain,
( isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(superposition,[status(thm)],[c415,c72]) ).
cnf(d7,plain,
( isFinite0(xQ)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[status(thm)],[c412,d6]) ).
cnf(d8,plain,
isFinite0(xQ),
inference(resolution,[status(thm)],[c174,d7]) ).
cnf(d9,plain,
szszuzczcdt0(sbrdtbr0(xP)) = xK,
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
~ aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
( ~ isFinite0(xP)
| ~ aSet0(xP) ),
inference(resolution,[status(thm)],[d10,c73]) ).
cnf(d12,plain,
~ isFinite0(xP),
inference(resolution,[status(thm)],[c430,d11]) ).
cnf(d13,plain,
( ~ isFinite0(xQ)
| isFinite0(xP)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c441,c11]) ).
cnf(d14,plain,
( isFinite0(xP)
| ~ isFinite0(xQ) ),
inference(resolution,[status(thm)],[c412,d13]) ).
cnf(d15,plain,
isFinite0(xP),
inference(resolution,[status(thm)],[d8,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM612+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:26:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.45/3.69 % SZS status Theorem for theBenchmark.p
% 25.45/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------