%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM489+1 : 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 : n009.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 08:12:54 AM UTC 2026
% Result : Theorem 17.48s 2.65s
% Output : CNFRefutation 17.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 12 unt; 1 def)
% Number of atoms : 40 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 17 ~; 14 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiff,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ) ).
fof(m__1870,hypothesis,
sdtlseqdt0(xp,xn) ).
fof(m__1883,hypothesis,
xr = sdtmndt0(xn,xp) ).
fof(m__,conjecture,
xn = sdtpldt0(xp,xr) ).
fof(negated_conjecture,negated_conjecture,
xn != sdtpldt0(xp,xr),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c28,plain,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X2) = X1
| X2 != sdtmndt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefDiff]) ).
cnf(c70,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c72,plain,
aNaturalNumber0(xp),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c76,plain,
sdtlseqdt0(xp,xn),
inference(clausification,[status(esa)],[m__1870]) ).
cnf(c77,plain,
xr = sdtmndt0(xn,xp),
inference(clausification,[status(esa)],[m__1883]) ).
cnf(c80,plain,
xn != sdtpldt0(xp,xr),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| sdtpldt0(xp,X0) = xn
| X0 != xr ),
inference(superposition,[status(thm)],[c77,c28]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| sdtpldt0(xp,X0) = xn
| X0 != xr ),
inference(resolution,[status(thm)],[c70,d0]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(xp,xn)
| sdtpldt0(xp,X0) = xn
| X0 != xr ),
inference(resolution,[status(thm)],[c72,d1]) ).
cnf(d3,plain,
( sdtpldt0(xp,X0) = xn
| X0 != xr ),
inference(resolution,[status(thm)],[c76,d2]) ).
cnf(d4,plain,
sdtpldt0(xp,xr) = xn,
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
xn != xn,
inference(demodulation,[status(thm)],[c80,d4]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM489+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n009.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 26 02:57:29 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.48/2.65 % SZS status Theorem for theBenchmark.p
% 17.48/2.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------