%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 07:53:40 AM UTC 2026
% Result : Unsatisfiable 10.77s 3.17s
% Output : CNFRefutation 10.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of clauses : 33 ( 20 unt; 0 nHn; 11 RR)
% Number of literals : 53 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 89 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_19,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(X1,X2))) ).
cnf(cn_37,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))) ).
cnf(cn_59,axiom,
'is$ua$utheorem'(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))) ).
cnf(prove_cn_3,negated_conjecture,
~ 'is$ua$utheorem'(implies(a,implies(not(a),b))) ).
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(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(clausification,[status(esa)],[cn_19]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(clausification,[status(esa)],[cn_37]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
inference(clausification,[status(esa)],[cn_59]) ).
cnf(c4,plain,
~ 'is$ua$utheorem'(implies(a,implies(not(a),b))),
inference(clausification,[status(esa)],[prove_cn_3]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(implies(X2,X0),X1))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X0)))))),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(implies(implies(X0,X2),X1))
| 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(implies(not(X2),X1))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(implies(X2,X1))
| 'is$ua$utheorem'(implies(implies(X0,X2),X1))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(not(X2),X1))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(implies(X3,implies(X0,implies(X1,X2))))
| ~ 'is$ua$utheorem'(implies(X1,X3))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( 'is$ua$utheorem'(implies(X2,implies(X0,X1)))
| ~ 'is$ua$utheorem'(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[d11,d1]) ).
cnf(d13,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X0)) ),
inference(resolution,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
'is$ua$utheorem'(implies(X0,X0)),
inference(resolution,[status(thm)],[d13,d4]) ).
cnf(d15,plain,
'is$ua$utheorem'(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[d14,d5]) ).
cnf(d16,plain,
'is$ua$utheorem'(implies(not(X0),implies(X1,implies(X2,implies(X0,X3))))),
inference(resolution,[status(thm)],[d2,d5]) ).
cnf(d17,plain,
( ~ 'is$ua$utheorem'(implies(X4,implies(X0,implies(X1,implies(X2,X3)))))
| ~ 'is$ua$utheorem'(implies(X2,X4))
| 'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[status(thm)],[d9,d16]) ).
cnf(d18,plain,
( 'is$ua$utheorem'(implies(X3,implies(X1,implies(X0,X2))))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[d17,d1]) ).
cnf(d19,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(resolution,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(X0,implies(not(X0),X1))) ),
inference(resolution,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))),
inference(resolution,[status(thm)],[d20,d14]) ).
cnf(d22,plain,
$false,
inference(resolution,[status(thm)],[d21,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n002.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 21:51:20 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.77/3.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.77/3.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------