%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL076-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 07:53:41 AM UTC 2026
% Result : Unsatisfiable 15.78s 2.57s
% Output : CNFRefutation 15.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_49,axiom,
'is$ua$utheorem'(implies(implies(not(X0),not(X1)),implies(X1,X0))) ).
cnf(extra_lemma,axiom,
'is$ua$utheorem'(implies(not(not(X0)),X0)) ).
cnf(prove_cn_40,negated_conjecture,
~ 'is$ua$utheorem'(implies(a,not(not(a)))) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(clausification,[status(esa)],[cn_49]) ).
cnf(c4,plain,
'is$ua$utheorem'(implies(not(not(X0)),X0)),
inference(clausification,[status(esa)],[extra_lemma]) ).
cnf(c5,plain,
~ 'is$ua$utheorem'(implies(a,not(not(a)))),
inference(clausification,[status(esa)],[prove_cn_40]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(not(X1),not(X0)))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL076-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 % Computer : n006.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Fri Sep 25 21:48:40 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.78/2.57 % SZS status Unsatisfiable for theBenchmark.p
% 15.78/2.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------