%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:54:09 AM UTC 2026
% Result : Theorem 10.01s 7.07s
% Output : CNFRefutation 10.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 20 ( 5 ~; 9 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel5,conjecture,
( ( ( q
| p )
=> ( r
| p ) )
=> ( ( q
=> r )
| p ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( q
| p )
=> ( r
| p ) )
=> ( ( q
=> r )
| p ) ),
inference(negate_conjecture,[status(cth)],[pel5]) ).
cnf(c1,plain,
( r
| p
| ~ q ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
~ p,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
q,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
~ r,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ q
| r ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
r,
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c4,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n003.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.35 % CPULimit : 300
% 0.09/5.35 % WCLimit : 300
% 0.09/5.35 % DateTime : Fri Sep 25 22:05:44 UTC 2026
% 0.09/5.35 % CPUTime :
% 0.09/5.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.01/7.07 % SZS status Theorem for theBenchmark.p
% 10.01/7.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------