%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL080-2 : 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 : n010.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 23.25s 6.32s
% Output : CNFRefutation 23.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 12 unt; 0 nHn; 13 RR)
% Number of literals : 45 ( 0 equ; 21 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(ic_2,axiom,
'is$ua$utheorem'(implies(X0,implies(X1,X0))) ).
cnf(ic_3,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),X0)) ).
cnf(ic_4,axiom,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
cnf(prove_ic_JLukasiewicz,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[ic_2]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),X0)),
inference(clausification,[status(esa)],[ic_3]) ).
cnf(c4,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(clausification,[status(esa)],[ic_4]) ).
cnf(c5,plain,
~ 'is$ua$utheorem'(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
inference(clausification,[status(esa)],[prove_ic_JLukasiewicz]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(X1,X2))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( 'is$ua$utheorem'(implies(implies(X2,X0),X3))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(implies(X0,X1),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[d0,d4]) ).
cnf(d6,plain,
( ~ 'is$ua$utheorem'(implies(implies(X0,X1),X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(implies(X1,X2))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[d2,d7]) ).
cnf(d9,plain,
( 'is$ua$utheorem'(implies(implies(X0,X3),implies(implies(X3,X1),X2)))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
~ 'is$ua$utheorem'(implies(implies(implies(a,b),a),implies(e,a))),
inference(resolution,[status(thm)],[d9,c5]) ).
cnf(d11,plain,
( 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d12,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
( 'is$ua$utheorem'(implies(implies(implies(X0,X2),X0),X1))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d14,plain,
( 'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),X2))
| ~ 'is$ua$utheorem'(implies(X0,implies(implies(implies(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL080-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 21:50:29 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.25/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 23.25/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------