%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM521+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 : n010.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 13.80s 2.78s
% Output : CNFRefutation 13.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 85 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 86 ( 36 ~; 31 |; 17 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 3 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC_01,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ) ).
fof(m_MulUnit,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = 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)
| ? [X0] :
( sdtpldt0(xp,X0) = xn
& aNaturalNumber0(X0) ) ) ).
fof(m__2075,hypothesis,
~ ( sdtlseqdt0(xp,xm)
| ? [X0] :
( sdtpldt0(xp,X0) = xm
& aNaturalNumber0(X0) ) ) ).
fof(m__2287,hypothesis,
~ ( ( sdtlseqdt0(xm,xp)
| ? [X0] :
( sdtpldt0(xm,X0) = xp
& aNaturalNumber0(X0) ) )
& xm != xp
& ( sdtlseqdt0(xn,xp)
| ? [X0] :
( sdtpldt0(xn,X0) = xp
& aNaturalNumber0(X0) ) )
& xn != xp ) ).
fof(m__,conjecture,
( doDivides0(xp,xm)
| ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| doDivides0(xp,xn)
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( doDivides0(xp,xm)
| ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| doDivides0(xp,xn)
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c1,plain,
aNaturalNumber0(sz10),
inference(clausification,[status(esa)],[mSortsC_01]) ).
cnf(c11,plain,
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_MulUnit]) ).
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(c98,plain,
~ sdtlseqdt0(xp,xn),
inference(clausification,[status(esa)],[m__1870]) ).
cnf(c100,plain,
~ sdtlseqdt0(xp,xm),
inference(clausification,[status(esa)],[m__2075]) ).
cnf(c104,plain,
( ~ sdtlseqdt0(xm,xp)
| xm = xp
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(clausification,[status(esa)],[m__2287]) ).
cnf(c105,plain,
( xn != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c107,plain,
( xm != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtasdt0(xp,sz10) = xp,
inference(resolution,[status(thm)],[c11,c72]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(sz10)
| xm != xp ),
inference(superposition,[status(thm)],[d0,c107]) ).
cnf(d2,plain,
xm != xp,
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ sdtlseqdt0(xn,xp)
| xn = xp ),
inference(resolution,[status(thm)],[d2,c104]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(sz10)
| xn != xp ),
inference(superposition,[status(thm)],[d0,c105]) ).
cnf(d5,plain,
xn != xp,
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ sdtlseqdt0(xn,xp) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c34,c98]) ).
cnf(d8,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c70,d7]) ).
cnf(d9,plain,
sdtlseqdt0(xn,xp),
inference(resolution,[status(thm)],[c72,d8]) ).
cnf(d10,plain,
~ sdtlseqdt0(xm,xp),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c34,c100]) ).
cnf(d12,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c71,d11]) ).
cnf(d13,plain,
sdtlseqdt0(xm,xp),
inference(resolution,[status(thm)],[c72,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM521+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:06:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.80/2.78 % SZS status Theorem for theBenchmark.p
% 13.80/2.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------