%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL090-1 : 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 : n017.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 07:53:44 AM UTC 2026
% Result : Unsatisfiable 24.20s 4.17s
% Output : CNFRefutation 24.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of clauses : 39 ( 12 unt; 0 nHn; 12 RR)
% Number of literals : 111 ( 0 equ; 81 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 211 ( 152 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(ic_JLukasiewicz_5,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))) ).
cnf(prove_ic_1,negated_conjecture,
~ 'is$ua$utheorem'(implies(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(implies(X3,X0),implies(X4,implies(X2,X0))))),
inference(clausification,[status(esa)],[ic_JLukasiewicz_5]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(implies(a,a)),
inference(clausification,[status(esa)],[prove_ic_1]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,X4),implies(X3,X0)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(X3,X0))
| 'is$ua$utheorem'(implies(X4,implies(X2,X0)))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(implies(X4,X5),implies(X3,X2)))
| ~ 'is$ua$utheorem'(implies(implies(X3,X4),X2))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(X5,X4),implies(X4,X6)),implies(X2,implies(X3,X4))))
| 'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,implies(X3,X4))))) ),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(implies(X3,X6),implies(X2,X5)))
| ~ 'is$ua$utheorem'(implies(implies(X4,X5),implies(X2,X3)))
| 'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(implies(implies(X5,implies(X6,implies(X7,X3))),implies(implies(X2,X3),implies(X3,X4))))
| 'is$ua$utheorem'(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,X4))))) ),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,implies(implies(implies(X3,X4),X4),implies(X4,implies(X5,X4))))))),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,implies(X3,implies(implies(implies(X4,X5),X5),implies(X5,implies(X6,X5)))))))),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(implies(implies(X5,X6),X6),implies(X6,implies(X7,X6))))))))),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(implies(X3,X4),X4),implies(X4,implies(X5,X4))),X2))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d11,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3))))))),
inference(resolution,[status(thm)],[d10,c1]) ).
cnf(d12,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,implies(implies(implies(X3,X4),implies(X5,X4)),implies(X6,implies(X4,implies(X5,X4)))))))),
inference(resolution,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
( ~ 'is$ua$utheorem'(implies(implies(X4,implies(X5,X2)),implies(X2,X3)))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d14,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(X4,X2),X5),implies(X3,X6)))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))) ),
inference(resolution,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(implies(implies(X5,X1),implies(X1,implies(X3,implies(X0,X1)))))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(X3,X4))) ),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
( ~ 'is$ua$utheorem'(implies(implies(X2,X8),implies(X4,implies(X1,X2))))
| 'is$ua$utheorem'(implies(X6,implies(X7,implies(X4,implies(X1,X2)))))
| ~ 'is$ua$utheorem'(implies(implies(implies(X1,X2),X3),implies(X4,X5)))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
( ~ 'is$ua$utheorem'(implies(implies(X5,X6),implies(X3,implies(X4,X5))))
| 'is$ua$utheorem'(implies(X1,implies(X2,implies(X3,implies(X4,X5)))))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d16,d8]) ).
cnf(d18,plain,
( 'is$ua$utheorem'(implies(X1,implies(X2,implies(implies(X3,X4),implies(X5,implies(X4,X4))))))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
( ~ 'is$ua$utheorem'(X5)
| 'is$ua$utheorem'(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d18,c0]) ).
cnf(d20,plain,
( ~ 'is$ua$utheorem'(X5)
| 'is$ua$utheorem'(implies(implies(X2,X3),implies(X4,implies(X3,X3))))
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
( 'is$ua$utheorem'(implies(X4,implies(X5,implies(X6,implies(X7,X7)))))
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
( ~ 'is$ua$utheorem'(X7)
| 'is$ua$utheorem'(implies(X4,implies(X5,implies(X6,X6))))
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
( ~ 'is$ua$utheorem'(X7)
| 'is$ua$utheorem'(implies(X5,implies(X6,X6)))
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d22,c0]) ).
cnf(d24,plain,
( ~ 'is$ua$utheorem'(X7)
| 'is$ua$utheorem'(implies(X6,X6))
| ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d23,c0]) ).
cnf(d25,plain,
( ~ 'is$ua$utheorem'(X6)
| ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
( ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d25,d6]) ).
cnf(d27,plain,
( ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d26,d6]) ).
cnf(d28,plain,
( ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d27,d6]) ).
cnf(d29,plain,
( ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d28,d6]) ).
cnf(d30,plain,
( ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d29,d6]) ).
cnf(d31,plain,
~ 'is$ua$utheorem'(X0),
inference(resolution,[status(thm)],[d30,d12]) ).
cnf(d32,plain,
$false,
inference(resolution,[status(thm)],[d31,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL090-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 25 21:45:48 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.20/4.17 % SZS status Unsatisfiable for theBenchmark.p
% 24.20/4.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------