%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 07:54:14 AM UTC 2026
% Result : Unsatisfiable 38.48s 21.19s
% Output : CNFRefutation 38.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of clauses : 62 ( 26 unt; 0 nHn; 27 RR)
% Number of literals : 110 ( 0 equ; 51 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 157 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_1,axiom,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
cnf(cn_2,axiom,
'is$ua$utheorem'(implies(implies(not(X0),X0),X0)) ).
cnf(cn_3,axiom,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))) ).
cnf(prove_not_not_implies,negated_conjecture,
~ 'is$ua$utheorem'(not(not(implies(p,p)))) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(clausification,[status(esa)],[cn_1]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(not(X0),X0),X0)),
inference(clausification,[status(esa)],[cn_2]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))),
inference(clausification,[status(esa)],[cn_3]) ).
cnf(c4,plain,
~ 'is$ua$utheorem'(not(not(implies(p,p)))),
inference(clausification,[status(esa)],[prove_not_not_implies]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c1,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(X0,X3))
| 'is$ua$utheorem'(implies(implies(X3,X1),X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( 'is$ua$utheorem'(implies(implies(X1,X0),X0))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
( 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d5,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(not(implies(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
( 'is$ua$utheorem'(implies(implies(not(X0),X0),X1))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(implies(not(X0),X0))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
( ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(implies(not(X1),X2),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(implies(not(X1),not(X0)))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,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,c1]) ).
cnf(d12,plain,
( 'is$ua$utheorem'(implies(implies(X0,X2),implies(X0,X1)))
| ~ 'is$ua$utheorem'(implies(not(implies(X0,X1)),implies(X2,X1))) ),
inference(resolution,[status(thm)],[d3,d11]) ).
cnf(d13,plain,
'is$ua$utheorem'(implies(X0,X0)),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d14,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d15,plain,
( 'is$ua$utheorem'(implies(X1,X0))
| ~ 'is$ua$utheorem'(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[d3,d4]) ).
cnf(d16,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
( 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d16,d1]) ).
cnf(d18,plain,
( ~ 'is$ua$utheorem'(implies(X3,X0))
| 'is$ua$utheorem'(implies(X2,implies(X3,X1)))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d17,d0]) ).
cnf(d19,plain,
( 'is$ua$utheorem'(implies(X2,implies(X0,X1)))
| ~ 'is$ua$utheorem'(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
'is$ua$utheorem'(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[d19,d13]) ).
cnf(d21,plain,
'is$ua$utheorem'(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[d20,d12]) ).
cnf(d22,plain,
( ~ 'is$ua$utheorem'(implies(X0,implies(not(X1),X1)))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(not(X1),X1),X1),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d20,d8]) ).
cnf(d24,plain,
( ~ 'is$ua$utheorem'(implies(X3,X0))
| 'is$ua$utheorem'(implies(implies(X1,X2),implies(X3,X2)))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d25,plain,
( 'is$ua$utheorem'(implies(implies(X1,X2),implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
'is$ua$utheorem'(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[d25,d5]) ).
cnf(d27,plain,
( 'is$ua$utheorem'(implies(X4,implies(X0,implies(X1,X3))))
| ~ 'is$ua$utheorem'(implies(X0,implies(implies(not(X1),X2),X3))) ),
inference(resolution,[status(thm)],[d26,d18]) ).
cnf(d28,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[status(thm)],[d11,c1]) ).
cnf(d29,plain,
( 'is$ua$utheorem'(implies(implies(X0,X3),X4))
| ~ 'is$ua$utheorem'(implies(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)),X4)) ),
inference(resolution,[status(thm)],[d28,d1]) ).
cnf(d30,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d31,plain,
( 'is$ua$utheorem'(implies(implies(X2,X0),X0))
| ~ 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d32,plain,
( 'is$ua$utheorem'(implies(implies(X3,X2),X2))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(not(not(X2)),X1)),X3)) ),
inference(resolution,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
'is$ua$utheorem'(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[d20,d32]) ).
cnf(d34,plain,
'is$ua$utheorem'(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[d33,d29]) ).
cnf(d35,plain,
( ~ 'is$ua$utheorem'(implies(X1,not(X0)))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d36,plain,
( 'is$ua$utheorem'(implies(X1,implies(X0,X3)))
| ~ 'is$ua$utheorem'(implies(X0,not(implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[d35,d4]) ).
cnf(d37,plain,
'is$ua$utheorem'(implies(X0,implies(implies(not(not(implies(not(X0),X1))),not(implies(not(X0),X1))),X2))),
inference(resolution,[status(thm)],[d36,c2]) ).
cnf(d38,plain,
( ~ 'is$ua$utheorem'(implies(X2,implies(X1,X3)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) ),
inference(resolution,[status(thm)],[d11,d0]) ).
cnf(d39,plain,
( ~ 'is$ua$utheorem'(implies(X3,X1))
| 'is$ua$utheorem'(implies(X0,implies(X3,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
( 'is$ua$utheorem'(implies(X2,X3))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3)) ),
inference(resolution,[status(thm)],[d30,d1]) ).
cnf(d41,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[d21,d40]) ).
cnf(d42,plain,
( 'is$ua$utheorem'(implies(X2,implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d41,d39]) ).
cnf(d43,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d42,d37]) ).
cnf(d44,plain,
( 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d43,d1]) ).
cnf(d45,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[d44,d34]) ).
cnf(d46,plain,
'is$ua$utheorem'(implies(X0,implies(not(X1),implies(X1,X2)))),
inference(resolution,[status(thm)],[d45,d27]) ).
cnf(d47,plain,
'is$ua$utheorem'(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[d46,d23]) ).
cnf(d48,plain,
'is$ua$utheorem'(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[d47,d22]) ).
cnf(d49,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(not(not(X0))) ),
inference(resolution,[status(thm)],[d48,d10]) ).
cnf(d50,plain,
~ 'is$ua$utheorem'(implies(p,p)),
inference(resolution,[status(thm)],[d49,c4]) ).
cnf(d51,plain,
$false,
inference(resolution,[status(thm)],[d13,d50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n014.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 22:08:02 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.48/21.19 % SZS status Unsatisfiable for theBenchmark.p
% 38.48/21.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------