%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM623+1 : 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 : n016.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 08:13:22 AM UTC 2026
% Result : Theorem 3.66s 32.59s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 17 unt; 1 def)
% Number of atoms : 93 ( 37 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 100 ( 43 ~; 44 |; 9 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 15 ( 2 sgn 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefEmp,definition,
! [X0] :
( X0 = slcrc0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ) ).
fof(mMinMin,axiom,
! [X0,X1] :
( ( X1 != slcrc0
& X0 != slcrc0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ) ).
fof(m__3671,hypothesis,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ) ).
fof(m__5093,hypothesis,
( xQ != slcrc0
& aSubsetOf0(xQ,xO) ) ).
fof(m__5106,hypothesis,
aSubsetOf0(xQ,szNzAzT0) ).
fof(m__5147,hypothesis,
xp = szmzizndt0(xQ) ).
fof(m__5389,hypothesis,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ) ).
fof(m__5401,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)) ).
fof(m__5481,hypothesis,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ) ).
fof(m__,conjecture,
xp = xx ).
fof(negated_conjecture,negated_conjecture,
xp != xx,
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c2,plain,
( ~ aElementOf0(X1,X0)
| X0 != slcrc0 ),
inference(clausification,[status(esa)],[mDefEmp]) ).
cnf(c89,plain,
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| X1 = slcrc0
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1) ),
inference(clausification,[status(esa)],[mMinMin]) ).
cnf(c193,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__3671]) ).
cnf(c230,plain,
xQ != slcrc0,
inference(clausification,[status(esa)],[m__5093]) ).
cnf(c231,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(clausification,[status(esa)],[m__5106]) ).
cnf(c233,plain,
xp = szmzizndt0(xQ),
inference(clausification,[status(esa)],[m__5147]) ).
cnf(c249,plain,
aElementOf0(xm,szNzAzT0),
inference(clausification,[status(esa)],[m__5389]) ).
cnf(c251,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(clausification,[status(esa)],[m__5401]) ).
cnf(c254,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(clausification,[status(esa)],[m__5481]) ).
cnf(c255,plain,
aElementOf0(xx,xQ),
inference(clausification,[status(esa)],[m__5481]) ).
cnf(c256,plain,
xp != xx,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X0),xQ)
| szmzizndt0(xQ) = szmzizndt0(X0)
| xQ = slcrc0
| X0 = slcrc0
| ~ aElementOf0(xp,X0) ),
inference(superposition,[status(thm)],[c233,c89]) ).
cnf(d1,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(xp,X0)
| ~ aElementOf0(szmzizndt0(X0),xQ)
| xQ = slcrc0
| xp = szmzizndt0(X0)
| X0 = slcrc0 ),
inference(demodulation,[status(thm)],[d0,c233]) ).
cnf(d2,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(xp,X0)
| ~ aElementOf0(szmzizndt0(X0),xQ)
| xp = szmzizndt0(X0)
| X0 = slcrc0 ),
inference(resolution,[status(thm)],[c230,d1]) ).
cnf(d3,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(xp,X0)
| ~ aElementOf0(szmzizndt0(X0),xQ)
| xp = szmzizndt0(X0)
| X0 = slcrc0 ),
inference(resolution,[status(thm)],[c231,d2]) ).
cnf(d4,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| xp = szmzizndt0(sdtlpdtrp0(xN,xm))
| sdtlpdtrp0(xN,xm) = slcrc0
| ~ aElementOf0(xx,xQ) ),
inference(superposition,[status(thm)],[c251,d3]) ).
cnf(d5,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ aElementOf0(xx,xQ)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| xp = xx
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(demodulation,[status(thm)],[d4,c251]) ).
cnf(d6,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ aElementOf0(xx,xQ)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(resolution,[status(thm)],[c256,d5]) ).
cnf(d7,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(resolution,[status(thm)],[c255,d6]) ).
cnf(d8,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(resolution,[status(thm)],[c254,d7]) ).
cnf(d9,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0 ),
inference(resolution,[status(thm)],[d8,c193]) ).
cnf(d10,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(resolution,[status(thm)],[c249,d9]) ).
cnf(d11,plain,
aElementOf0(xp,slcrc0),
inference(demodulation,[status(thm)],[c254,d10]) ).
cnf(d12,plain,
~ aElementOf0(X0,slcrc0),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM623+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/20.44 % CPULimit : 300
% 0.08/20.44 % WCLimit : 300
% 0.08/20.44 % DateTime : Sat Sep 26 03:29:35 UTC 2026
% 0.08/20.45 % CPUTime :
% 0.08/20.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/32.59 % SZS status Theorem for theBenchmark.p
% 3.66/32.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------