%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM521+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 : n002.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 08:13:00 AM UTC 2026
% Result : Theorem 16.58s 4.01s
% Output : CNFRefutation 16.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 57 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 20 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mLERefl,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ) ).
fof(mLETotal,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ) ).
fof(m__1870,hypothesis,
~ sdtlseqdt0(xp,xn) ).
fof(m__2075,hypothesis,
~ sdtlseqdt0(xp,xm) ).
fof(m__2287,hypothesis,
~ ( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ) ).
cnf(c30,plain,
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mLERefl]) ).
cnf(c34,plain,
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mLETotal]) ).
cnf(c70,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c71,plain,
aNaturalNumber0(xm),
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,
~ sdtlseqdt0(xp,xm),
inference(clausification,[status(esa)],[m__2075]) ).
cnf(c78,plain,
( ~ sdtlseqdt0(xm,xp)
| xm = xp
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(clausification,[status(esa)],[m__2287]) ).
cnf(d0,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c34,c77]) ).
cnf(d1,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c71,d0]) ).
cnf(d2,plain,
sdtlseqdt0(xm,xp),
inference(resolution,[status(thm)],[c72,d1]) ).
cnf(d3,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c34,c76]) ).
cnf(d4,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c70,d3]) ).
cnf(d5,plain,
sdtlseqdt0(xn,xp),
inference(resolution,[status(thm)],[c72,d4]) ).
cnf(d6,plain,
( ~ sdtlseqdt0(xm,xp)
| xm = xp
| xn = xp ),
inference(resolution,[status(thm)],[d5,c78]) ).
cnf(d7,plain,
( xm = xp
| xn = xp ),
inference(resolution,[status(thm)],[d2,d6]) ).
cnf(d8,plain,
( xn = xp
| sdtlseqdt0(xp,xp) ),
inference(superposition,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
( xn = xp
| ~ sdtlseqdt0(xp,xp) ),
inference(superposition,[status(thm)],[d7,c77]) ).
cnf(d10,plain,
( xn = xp
| xn = xp ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
~ sdtlseqdt0(xp,xp),
inference(demodulation,[status(thm)],[c76,d10]) ).
cnf(d12,plain,
~ aNaturalNumber0(xp),
inference(resolution,[status(thm)],[d11,c30]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c72,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM521+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n002.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 03:08:35 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.58/4.01 % SZS status Theorem for theBenchmark.p
% 16.58/4.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------