%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM456+6 : 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 : n020.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 08:12:47 AM UTC 2026
% Result : Theorem 13.51s 2.66s
% Output : CNFRefutation 13.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 67 ( 19 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 62 ( 10 ~; 12 |; 32 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2079,hypothesis,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( X0 = smndt0(sz10)
| X0 = sz10 ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS)) ) ).
fof(m__2171,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X0,stldt0(sbsmnsldt0(xS))) )
& ! [X0] :
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X0,sbsmnsldt0(xS))
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,sbsmnsldt0(xS))
<=> ( ? [X1] :
( aElementOf0(X0,X1)
& aElementOf0(X1,xS) )
& aInteger0(X0) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X0] :
( ( ( ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) ) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ) ).
fof(m__2203,hypothesis,
? [X0] :
( ~ ( aElementOf0(X0,cS2200)
| X0 = smndt0(sz10)
| X0 = sz10 )
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& sdteqdtlpzmzozddtrp0(X0,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X0,smndt0(sz10)))
& ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(X0,smndt0(sz10))
& aInteger0(X1) )
& aInteger0(X0) ) ).
cnf(c171,plain,
( X0 = smndt0(sz10)
| X0 = sz10
| ~ aElementOf0(X0,stldt0(sbsmnsldt0(xS))) ),
inference(clausification,[status(esa)],[m__2079]) ).
cnf(c174,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(clausification,[status(esa)],[m__2079]) ).
cnf(c239,plain,
( aElementOf0(X0,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(clausification,[status(esa)],[m__2171]) ).
cnf(c251,plain,
aElementOf0(sK160,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(clausification,[status(esa)],[m__2203]) ).
cnf(c252,plain,
sK160 != sz10,
inference(clausification,[status(esa)],[m__2203]) ).
cnf(c253,plain,
sK160 != smndt0(sz10),
inference(clausification,[status(esa)],[m__2203]) ).
cnf(d0,plain,
( ~ aElementOf0(X0,cS2076)
| X0 = smndt0(sz10)
| X0 = sz10 ),
inference(demodulation,[status(thm)],[c171,c174]) ).
cnf(d1,plain,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X0,cS2076) ),
inference(demodulation,[status(thm)],[c239,c174]) ).
cnf(d2,plain,
aElementOf0(sK160,cS2076),
inference(resolution,[status(thm)],[d1,c251]) ).
cnf(d3,plain,
( sK160 = smndt0(sz10)
| sK160 = sz10 ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
sK160 = smndt0(sz10),
inference(resolution,[status(thm)],[c252,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c253,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM456+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 02:50:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.51/2.66 % SZS status Theorem for theBenchmark.p
% 13.51/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------