%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL076-3 : 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 : 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 07:53:41 AM UTC 2026
% Result : Unsatisfiable 15.06s 2.52s
% Output : CNFRefutation 15.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 12 RR)
% Number of literals : 36 ( 0 equ; 16 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 : 43 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_18,axiom,
'is$ua$utheorem'(implies(X0,implies(X1,X0))) ).
cnf(cn_35,axiom,
'is$ua$utheorem'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))) ).
cnf(cn_49,axiom,
'is$ua$utheorem'(implies(implies(not(X0),not(X1)),implies(X1,X0))) ).
cnf(transitivity,axiom,
( 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
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(c1,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[cn_18]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(clausification,[status(esa)],[cn_35]) ).
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(X0,X2))
| ~ 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(clausification,[status(esa)],[transitivity]) ).
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,implies(not(X2),not(X1))))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(d2,plain,
'is$ua$utheorem'(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
'is$ua$utheorem'(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(implies(X0,X1))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( ~ 'is$ua$utheorem'(implies(not(not(X0)),X1))
| 'is$ua$utheorem'(implies(not(not(X0)),X0)) ),
inference(resolution,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
'is$ua$utheorem'(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
'is$ua$utheorem'(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 21:54:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.06/2.52 % SZS status Unsatisfiable for theBenchmark.p
% 15.06/2.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------