%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM458+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 : n016.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 08:12:47 AM UTC 2026
% Result : Theorem 12.08s 1.99s
% Output : CNFRefutation 12.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 22 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 5 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 1 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsC,axiom,
aNaturalNumber0(sz00) ).
fof(m_AddZero,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ) ).
fof(m__718,hypothesis,
aNaturalNumber0(xm) ).
fof(m__,conjecture,
( sdtlseqdt0(xm,xm)
| ? [X0] :
( sdtpldt0(xm,X0) = xm
& aNaturalNumber0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( sdtlseqdt0(xm,xm)
| ? [X0] :
( sdtpldt0(xm,X0) = xm
& aNaturalNumber0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c0,plain,
aNaturalNumber0(sz00),
inference(clausification,[status(esa)],[mSortsC]) ).
cnf(c7,plain,
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[m_AddZero]) ).
cnf(c30,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__718]) ).
cnf(c31,plain,
( sdtpldt0(xm,X0) != xm
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtpldt0(xm,sz00) = xm,
inference(resolution,[status(thm)],[c7,c30]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(sz00)
| xm != xm ),
inference(superposition,[status(thm)],[d0,c31]) ).
cnf(d2,plain,
xm != xm,
inference(resolution,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM458+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
% 0.09/0.36 % Computer : n016.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 02:54:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.08/1.99 % SZS status Theorem for theBenchmark.p
% 12.08/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------