%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL088-1 : 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 : n013.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 07:53:43 AM UTC 2026
% Result : Unsatisfiable 16.53s 2.80s
% Output : CNFRefutation 16.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of clauses : 53 ( 35 unt; 0 nHn; 5 RR)
% Number of literals : 73 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 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 : 210 ( 103 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(ic_JLukasiewicz_4,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))) ).
cnf(prove_ic_3,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(implies(a,b),a),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),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(clausification,[status(esa)],[ic_JLukasiewicz_4]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(implies(implies(implies(a,b),a),a)),
inference(clausification,[status(esa)],[prove_ic_3]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(implies(X2,X4),implies(X3,X1)))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(X5)
| 'is$ua$utheorem'(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,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)],[d2,d1]) ).
cnf(d4,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1)))))),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,implies(implies(X2,X3),implies(X4,X3))),X5),implies(implies(implies(X3,X6),implies(implies(X2,X3),implies(X4,X3))),X5)))),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),X5),X6),implies(implies(implies(X7,implies(implies(X3,X1),implies(X4,X1))),X5),X6)))),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(implies(implies(X1,implies(implies(X2,X3),implies(X4,X3))),X5),X6),X7),implies(implies(implies(implies(implies(X3,X8),implies(implies(X2,X3),implies(X4,X3))),X5),X6),X7)))),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,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)],[d3,c0]) ).
cnf(d9,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X1,implies(X0,X1)))) ),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(resolution,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(resolution,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X1),X2),X3)))),
inference(resolution,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(implies(implies(X5,X2),implies(X6,X2)),implies(X2,X3)),X4)))),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d15,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(implies(implies(X4,X1),implies(X5,X1)),implies(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
'is$ua$utheorem'(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(implies(implies(X4,X1),implies(X5,X1)),implies(X1,X2)),X3))),
inference(resolution,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,implies(X2,implies(X3,X4))),implies(implies(implies(implies(X5,X3),implies(X6,X3)),implies(X3,X4)),implies(X2,implies(X3,X4)))))),
inference(resolution,[status(thm)],[d16,d0]) ).
cnf(d18,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[d12,c0]) ).
cnf(d19,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(resolution,[status(thm)],[d18,d1]) ).
cnf(d20,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[d19,d8]) ).
cnf(d21,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(X0,implies(X1,X0))) ),
inference(resolution,[status(thm)],[d20,c0]) ).
cnf(d22,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d21,d17]) ).
cnf(d23,plain,
( ~ 'is$ua$utheorem'(X5)
| 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))),implies(X4,implies(implies(X2,X0),implies(X3,X0))))) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d24,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))),implies(X4,implies(implies(X2,X0),implies(X3,X0))))),
inference(resolution,[status(thm)],[d23,d1]) ).
cnf(d25,plain,
( ~ 'is$ua$utheorem'(implies(implies(X2,X4),implies(implies(X1,X2),implies(X3,X2))))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[d24,c0]) ).
cnf(d26,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X2,X2)))),
inference(resolution,[status(thm)],[d25,d22]) ).
cnf(d27,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X1,X1))) ),
inference(resolution,[status(thm)],[d26,c0]) ).
cnf(d28,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(X1,X1))),
inference(resolution,[status(thm)],[d27,d13]) ).
cnf(d29,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[status(thm)],[d22,d0]) ).
cnf(d30,plain,
( ~ 'is$ua$utheorem'(X3)
| 'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),implies(X2,X0))) ),
inference(resolution,[status(thm)],[d29,c0]) ).
cnf(d31,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[status(thm)],[d30,d7]) ).
cnf(d32,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,X2),X1))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[d32,d28]) ).
cnf(d34,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X0)) ),
inference(resolution,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
'is$ua$utheorem'(implies(X0,X0)),
inference(resolution,[status(thm)],[d34,d7]) ).
cnf(d36,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),X5),X6),implies(implies(implies(X7,implies(X2,X4)),X5),X6)))),
inference(resolution,[status(thm)],[d14,d0]) ).
cnf(d37,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d38,plain,
( ~ 'is$ua$utheorem'(X3)
| 'is$ua$utheorem'(implies(X0,implies(implies(X0,X1),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[d37,c0]) ).
cnf(d39,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[status(thm)],[d38,d36]) ).
cnf(d40,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X3,X4),X2),X3)))),
inference(resolution,[status(thm)],[d39,d0]) ).
cnf(d41,plain,
( ~ 'is$ua$utheorem'(X4)
| 'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(implies(implies(X2,X3),X1),X2))) ),
inference(resolution,[status(thm)],[d40,c0]) ).
cnf(d42,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(implies(implies(X2,X3),X1),X2))),
inference(resolution,[status(thm)],[d41,d7]) ).
cnf(d43,plain,
'is$ua$utheorem'(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[status(thm)],[d42,d32]) ).
cnf(d44,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),X0)) ),
inference(resolution,[status(thm)],[d43,c0]) ).
cnf(d45,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[status(thm)],[d44,d35]) ).
cnf(d46,plain,
$false,
inference(resolution,[status(thm)],[d45,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 21:49:36 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.53/2.80 % SZS status Unsatisfiable for theBenchmark.p
% 16.53/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------