%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM477+2 : 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 : n007.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 08:12:52 AM UTC 2026
% Result : Theorem 19.24s 2.87s
% Output : CNFRefutation 19.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 44 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 13 ~; 12 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m_MulZero,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ) ).
fof(mMonMul2,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ) ).
fof(m__1494,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ) ).
fof(m__1494_04,hypothesis,
( xn != sz00
& doDivides0(xm,xn)
& ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) ) ) ).
fof(m__,conjecture,
( sdtlseqdt0(xm,xn)
| ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
| ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c13,plain,
( sdtasdt0(X0,sz00) = sz00
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_MulZero]) ).
cnf(c45,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| X0 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mMonMul2]) ).
cnf(c56,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__1494]) ).
cnf(c58,plain,
aNaturalNumber0(sK75),
inference(clausification,[status(esa)],[m__1494_04]) ).
cnf(c59,plain,
xn = sdtasdt0(xm,sK75),
inference(clausification,[status(esa)],[m__1494_04]) ).
cnf(c61,plain,
xn != sz00,
inference(clausification,[status(esa)],[m__1494_04]) ).
cnf(c63,plain,
~ sdtlseqdt0(xm,xn),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtasdt0(xm,sz00) = sz00,
inference(resolution,[status(thm)],[c13,c56]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(sK75)
| ~ aNaturalNumber0(xm)
| sK75 = sz00
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c59,c45]) ).
cnf(d2,plain,
( ~ aNaturalNumber0(sK75)
| ~ aNaturalNumber0(xm)
| sK75 = sz00 ),
inference(resolution,[status(thm)],[c63,d1]) ).
cnf(d3,plain,
( ~ aNaturalNumber0(sK75)
| sK75 = sz00 ),
inference(resolution,[status(thm)],[c56,d2]) ).
cnf(d4,plain,
sK75 = sz00,
inference(resolution,[status(thm)],[c58,d3]) ).
cnf(d5,plain,
xn = sdtasdt0(xm,sz00),
inference(demodulation,[status(thm)],[c59,d4]) ).
cnf(d6,plain,
xn = sz00,
inference(demodulation,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c61,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM477+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 02:52:24 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.24/2.87 % SZS status Theorem for theBenchmark.p
% 19.24/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------