%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM472+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 08:12:50 AM UTC 2026
% Result : Theorem 16.97s 12.74s
% Output : CNFRefutation 16.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 1 def)
% Number of atoms : 38 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 41 ( 20 ~; 13 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 12 ( 0 sgn 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ) ).
fof(mDefLE,definition,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ).
fof(m__1324,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ) ).
fof(m__,conjecture,
sdtlseqdt0(xm,sdtpldt0(xm,xn)) ).
fof(negated_conjecture,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c3,plain,
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mSortsB]) ).
cnf(c26,plain,
( sdtpldt0(X2,X0) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(clausification,[status(esa)],[mDefLE]) ).
cnf(c56,plain,
aNaturalNumber0(xm),
inference(clausification,[status(esa)],[m__1324]) ).
cnf(c57,plain,
aNaturalNumber0(xn),
inference(clausification,[status(esa)],[m__1324]) ).
cnf(c63,plain,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(equality_resolution,[status(thm)],[c26]) ).
cnf(d1,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[d0,c63]) ).
cnf(d2,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(resolution,[status(thm)],[c56,d1]) ).
cnf(d3,plain,
~ aNaturalNumber0(sdtpldt0(xm,xn)),
inference(resolution,[status(thm)],[c57,d2]) ).
cnf(d4,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
~ aNaturalNumber0(xn),
inference(resolution,[status(thm)],[c56,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c57,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM472+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
% 0.11/10.60 % Computer : n013.cluster.edu
% 0.11/10.60 % Model : x86_64 x86_64
% 0.11/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.60 % Memory : 8046.5625MB
% 0.11/10.60 % OS : Linux 6.8.0-71-generic
% 0.14/10.60 % CPULimit : 300
% 0.14/10.60 % WCLimit : 300
% 0.14/10.60 % DateTime : Sat Sep 26 02:52:51 UTC 2026
% 0.14/10.60 % CPUTime :
% 0.14/10.60 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.97/12.74 % SZS status Theorem for theBenchmark.p
% 16.97/12.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------