%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL043-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 07:53:36 AM UTC 2026
% Result : Unsatisfiable 11.13s 2.90s
% Output : CNFRefutation 11.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 23 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 23 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_3,axiom,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))) ).
cnf(cn_18,axiom,
'is$ua$utheorem'(implies(X0,implies(X1,X0))) ).
cnf(cn_54,axiom,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))) ).
cnf(prove_cn_39,negated_conjecture,
~ 'is$ua$utheorem'(implies(not(not(a)),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(c1,plain,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))),
inference(clausification,[status(esa)],[cn_3]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[cn_18]) ).
cnf(c5,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(clausification,[status(esa)],[cn_54]) ).
cnf(c6,plain,
~ 'is$ua$utheorem'(implies(not(not(a)),a)),
inference(clausification,[status(esa)],[prove_cn_39]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(X0,X1))
| 'is$ua$utheorem'(implies(implies(not(X0),X1),X1)) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(not(X0),X1))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(X0,implies(not(not(X0)),X1)))
| 'is$ua$utheorem'(implies(not(not(X0)),X1)) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
'is$ua$utheorem'(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL043-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n001.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 21:51:27 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.13/2.90 % SZS status Unsatisfiable for theBenchmark.p
% 11.13/2.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------