%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL087-1 : 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 : 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 07:53:43 AM UTC 2026
% Result : Unsatisfiable 10.04s 2.69s
% Output : CNFRefutation 10.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 25 ( 16 unt; 0 nHn; 5 RR)
% Number of literals : 36 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 92 ( 44 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_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),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(a,implies(b,a))),
inference(clausification,[status(esa)],[prove_ic_2]) ).
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(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(d5,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(d6,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)],[d5,c0]) ).
cnf(d7,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)],[d6,d5]) ).
cnf(d8,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)],[d7,d0]) ).
cnf(d9,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(resolution,[status(thm)],[d4,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'(X2)
| 'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(resolution,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[d14,d4]) ).
cnf(d16,plain,
( ~ 'is$ua$utheorem'(X2)
| 'is$ua$utheorem'(implies(X0,implies(X1,X0))) ),
inference(resolution,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL087-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n009.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri Sep 25 21:50:14 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.04/2.69 % SZS status Unsatisfiable for theBenchmark.p
% 10.04/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------