%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM623+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 : n026.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 36.83s 10.49s
% Output : CNFRefutation 36.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 72 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 20 ~; 15 |; 18 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 7 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mLessASymm,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ) ).
fof(m__3435,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ) ).
fof(m__4998,hypothesis,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ) ).
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__5348,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ) ).
fof(m__5365,hypothesis,
( ? [X0] :
( sdtlpdtrp0(xe,X0) = xx
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(xx,szNzAzT0) ) ).
fof(m__5401,hypothesis,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X0) ) ).
fof(m__5481,hypothesis,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ) ).
cnf(c67,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X1 = X0
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(clausification,[status(esa)],[mLessASymm]) ).
cnf(c176,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(clausification,[status(esa)],[m__3435]) ).
cnf(c410,plain,
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(clausification,[status(esa)],[m__4998]) ).
cnf(c413,plain,
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(clausification,[status(esa)],[m__5078]) ).
cnf(c427,plain,
aElementOf0(xp,xQ),
inference(clausification,[status(esa)],[m__5147]) ).
cnf(c428,plain,
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ),
inference(clausification,[status(esa)],[m__5147]) ).
cnf(c429,plain,
xp = szmzizndt0(xQ),
inference(clausification,[status(esa)],[m__5147]) ).
cnf(c453,plain,
aElementOf0(xx,xQ),
inference(clausification,[status(esa)],[m__5348]) ).
cnf(c454,plain,
xx != szmzizndt0(xQ),
inference(clausification,[status(esa)],[m__5348]) ).
cnf(c456,plain,
aElementOf0(xx,szNzAzT0),
inference(clausification,[status(esa)],[m__5365]) ).
cnf(c461,plain,
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(clausification,[status(esa)],[m__5401]) ).
cnf(c467,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(clausification,[status(esa)],[m__5481]) ).
cnf(d0,plain,
sdtlseqdt0(xp,xx),
inference(resolution,[status(thm)],[c428,c453]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0)
| xx = xp ),
inference(resolution,[status(thm)],[d0,c67]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ aElementOf0(xp,szNzAzT0)
| xx = xp ),
inference(resolution,[status(thm)],[c456,d1]) ).
cnf(d3,plain,
xx != xp,
inference(demodulation,[status(thm)],[c454,c429]) ).
cnf(d4,plain,
( ~ sdtlseqdt0(xx,xp)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
aElementOf0(xp,xO),
inference(resolution,[status(thm)],[c413,c427]) ).
cnf(d6,plain,
aElementOf0(xp,xS),
inference(resolution,[status(thm)],[d5,c410]) ).
cnf(d7,plain,
aElementOf0(xp,szNzAzT0),
inference(resolution,[status(thm)],[d6,c176]) ).
cnf(d8,plain,
~ sdtlseqdt0(xx,xp),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
sdtlseqdt0(xx,xp),
inference(resolution,[status(thm)],[c461,c467]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM623+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
% 0.10/5.37 % Computer : n026.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 03:32:31 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.83/10.49 % SZS status Theorem for theBenchmark.p
% 36.83/10.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------