%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM496+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 : n013.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 08:12:56 AM UTC 2026
% Result : Theorem 46.40s 19.99s
% Output : CNFRefutation 46.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 16 unt; 2 def)
% Number of atoms : 134 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 154 ( 68 ~; 67 |; 11 &)
% ( 2 <=>; 6 =>; 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 9 !; 1 ?)
% 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(mDefDiff,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ) ).
fof(mDefDiv,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ).
fof(mDivSum,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,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__2027,hypothesis,
( doDivides0(xp,xm)
| doDivides0(xp,xr) ) ).
fof(m__,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,xn) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
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(c27,plain,
( ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) != X2
| aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefDiff]) ).
cnf(c28,plain,
( ~ sdtlseqdt0(X0,X2)
| sdtmndt0(X2,X0) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = X2 ),
inference(clausification,[status(esa)],[mDefDiff]) ).
cnf(c49,plain,
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) != X2 ),
inference(clausification,[status(esa)],[mDefDiv]) ).
cnf(c54,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(clausification,[status(esa)],[mDivSum]) ).
cnf(c69,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c70,plain,
aNaturalNumber0(xp),
inference(clausification,[status(esa)],[m__1837]) ).
cnf(c75,plain,
sdtlseqdt0(xp,xn),
inference(clausification,[status(esa)],[m__1870]) ).
cnf(c76,plain,
sdtmndt0(xn,xp) = xr,
inference(clausification,[status(esa)],[m__1883]) ).
cnf(c80,plain,
( doDivides0(xp,xm)
| doDivides0(xp,xr) ),
inference(clausification,[status(esa)],[m__2027]) ).
cnf(c81,plain,
~ doDivides0(xp,xn),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c82,plain,
~ doDivides0(xp,xm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
doDivides0(xp,xr),
inference(resolution,[status(thm)],[c82,c80]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| sdtpldt0(xp,X0) = xn
| xr != X0 ),
inference(superposition,[status(thm)],[c76,c28]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| xr != X0
| sdtpldt0(xp,X0) = xn ),
inference(resolution,[status(thm)],[c69,d1]) ).
cnf(d3,plain,
( ~ sdtlseqdt0(xp,xn)
| xr != X0
| sdtpldt0(xp,X0) = xn ),
inference(resolution,[status(thm)],[c70,d2]) ).
cnf(d4,plain,
( xr != X0
| sdtpldt0(xp,X0) = xn ),
inference(resolution,[status(thm)],[c75,d3]) ).
cnf(d5,plain,
sdtpldt0(xp,xr) = xn,
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[d5,c54]) ).
cnf(d7,plain,
( ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[status(thm)],[c70,d6]) ).
cnf(d8,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(X0)
| xr != X0 ),
inference(superposition,[status(thm)],[c76,c27]) ).
cnf(d9,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(X0)
| xr != X0 ),
inference(resolution,[status(thm)],[c69,d8]) ).
cnf(d10,plain,
( ~ sdtlseqdt0(xp,xn)
| aNaturalNumber0(X0)
| xr != X0 ),
inference(resolution,[status(thm)],[c70,d9]) ).
cnf(d11,plain,
( aNaturalNumber0(X0)
| xr != X0 ),
inference(resolution,[status(thm)],[c75,d10]) ).
cnf(d12,plain,
aNaturalNumber0(xr),
inference(equality_resolution,[status(thm)],[d11]) ).
cnf(d13,plain,
( ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
( ~ doDivides0(xp,xp)
| doDivides0(xp,xn)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
( ~ doDivides0(xp,xp)
| doDivides0(xp,xn) ),
inference(resolution,[status(thm)],[c70,d14]) ).
cnf(d16,plain,
~ doDivides0(xp,xp),
inference(resolution,[status(thm)],[c81,d15]) ).
cnf(d17,plain,
sdtasdt0(xp,sz10) = xp,
inference(resolution,[status(thm)],[c70,c11]) ).
cnf(d18,plain,
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| xp != X0 ),
inference(superposition,[status(thm)],[d17,c49]) ).
cnf(d19,plain,
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| xp != X0 ),
inference(resolution,[status(thm)],[c1,d18]) ).
cnf(d20,plain,
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| xp != X0 ),
inference(resolution,[status(thm)],[c70,d19]) ).
cnf(d21,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp) ),
inference(equality_resolution,[status(thm)],[d20]) ).
cnf(d22,plain,
doDivides0(xp,xp),
inference(resolution,[status(thm)],[c70,d21]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[d22,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM496+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 02:58:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.40/19.99 % SZS status Theorem for theBenchmark.p
% 46.40/19.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------