%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM472+2 : 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 08:12:50 AM UTC 2026
% Result : Theorem 12.62s 7.38s
% Output : CNFRefutation 12.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 14 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 11 ( 4 ~; 3 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1324,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ) ).
fof(m__,conjecture,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c57,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1324]) ).
cnf(c71,plain,
( sdtpldt0(xm,X0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ aNaturalNumber0(xn),
inference(equality_resolution,[status(thm)],[c71]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.75 % Computer : n013.cluster.edu
% 0.11/5.75 % Model : x86_64 x86_64
% 0.11/5.75 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.75 % Memory : 8046.5625MB
% 0.11/5.75 % OS : Linux 6.8.0-71-generic
% 0.11/5.75 % CPULimit : 300
% 0.11/5.75 % WCLimit : 300
% 0.11/5.75 % DateTime : Sat Sep 26 02:53:16 UTC 2026
% 0.11/5.76 % CPUTime :
% 0.11/5.76 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.62/7.38 % SZS status Theorem for theBenchmark.p
% 12.62/7.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------