%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL082-1 : 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 : n009.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 07:53:42 AM UTC 2026
% Result : Unsatisfiable 12.95s 2.38s
% Output : CNFRefutation 12.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 28 ( 0 equ; 11 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; 2 con; 0-2 aty)
% Number of variables : 57 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(ic_JLukasiewicz,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))) ).
cnf(prove_ic_2,negated_conjecture,
~ 'is$ua$utheorem'(implies(a,implies(b,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(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
inference(clausification,[status(esa)],[ic_JLukasiewicz]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(implies(a,implies(b,a))),
inference(clausification,[status(esa)],[prove_ic_2]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,X3),X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
'is$ua$utheorem'(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(implies(implies(X4,implies(X2,X5)),implies(implies(X1,X2),implies(X3,X2))))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X2,X2)))),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(X3,X1),implies(X4,X1)),implies(X1,X2)))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d6,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X1,X1))) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d7,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(X1,X1))),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(X0,implies(X1,X0))) ),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 21:50:00 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.95/2.38 % SZS status Unsatisfiable for theBenchmark.p
% 12.95/2.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------