%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL071-1 : 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 : n008.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 07:53:40 AM UTC 2026
% Result : Unsatisfiable 38.40s 11.21s
% Output : CNFRefutation 38.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of clauses : 59 ( 24 unt; 0 nHn; 27 RR)
% Number of literals : 106 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 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 : 150 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_19,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(X1,X2))) ).
cnf(cn_37,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))) ).
cnf(cn_60,axiom,
'is$ua$utheorem'(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))) ).
cnf(prove_cn_2,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(not(a),a),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(c1,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(clausification,[status(esa)],[cn_19]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(clausification,[status(esa)],[cn_37]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
inference(clausification,[status(esa)],[cn_60]) ).
cnf(c4,plain,
~ 'is$ua$utheorem'(implies(implies(not(a),a),a)),
inference(clausification,[status(esa)],[prove_cn_2]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(implies(X2,X0),X1))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(implies(implies(not(X0),X1),implies(X2,implies(implies(X3,X1),implies(implies(X0,X3),X1))))),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(not(X3),X2))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2)))) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(implies(X0,implies(not(X3),X2)))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2)))) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(implies(implies(X3,X2),implies(implies(X0,X3),X2)))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(implies(X2,implies(X1,X3)))
| 'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(X1,X3))) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(implies(implies(X3,X1),X0))
| 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
( ~ 'is$ua$utheorem'(implies(implies(X2,X0),implies(X0,X1)))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(implies(not(X2),X1))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
'is$ua$utheorem'(implies(X0,X0)),
inference(resolution,[status(thm)],[d9,c1]) ).
cnf(d12,plain,
( ~ 'is$ua$utheorem'(implies(implies(X0,X2),X1))
| 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d13,plain,
'is$ua$utheorem'(implies(not(not(X0)),implies(X1,implies(implies(X2,X3),implies(implies(X0,X2),X3))))),
inference(resolution,[status(thm)],[d1,d12]) ).
cnf(d14,plain,
( ~ 'is$ua$utheorem'(not(not(X3)))
| 'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2)))) ),
inference(resolution,[status(thm)],[d13,c0]) ).
cnf(d15,plain,
( ~ 'is$ua$utheorem'(not(not(X2)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[status(thm)],[d9,d14]) ).
cnf(d16,plain,
( ~ 'is$ua$utheorem'(implies(X1,X2))
| 'is$ua$utheorem'(implies(implies(X0,X1),X2))
| ~ 'is$ua$utheorem'(not(not(X0))) ),
inference(resolution,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(not(not(X2)))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
( ~ 'is$ua$utheorem'(X3)
| 'is$ua$utheorem'(implies(implies(X2,X1),implies(implies(X0,X2),X1)))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d19,plain,
( 'is$ua$utheorem'(implies(implies(X1,not(X2)),implies(implies(X2,X1),not(X2))))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d11,d18]) ).
cnf(d20,plain,
'is$ua$utheorem'(implies(implies(X0,not(X1)),implies(implies(X1,X0),not(X1)))),
inference(resolution,[status(thm)],[d19,d11]) ).
cnf(d21,plain,
( ~ 'is$ua$utheorem'(implies(X1,not(X0)))
| 'is$ua$utheorem'(implies(implies(X0,X1),not(X0))) ),
inference(resolution,[status(thm)],[d20,c0]) ).
cnf(d22,plain,
( ~ 'is$ua$utheorem'(implies(X1,X0))
| 'is$ua$utheorem'(not(X1))
| ~ 'is$ua$utheorem'(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
( 'is$ua$utheorem'(not(X0))
| ~ 'is$ua$utheorem'(implies(X0,not(X0))) ),
inference(resolution,[status(thm)],[d22,d11]) ).
cnf(d24,plain,
'is$ua$utheorem'(implies(not(implies(X0,X1)),implies(X1,X2))),
inference(resolution,[status(thm)],[d12,c1]) ).
cnf(d25,plain,
'is$ua$utheorem'(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d26,plain,
( ~ 'is$ua$utheorem'(implies(X1,implies(X0,X2)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[d25,c0]) ).
cnf(d27,plain,
( ~ 'is$ua$utheorem'(implies(X1,X0))
| 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d26,c0]) ).
cnf(d28,plain,
'is$ua$utheorem'(implies(not(implies(X0,X1)),implies(not(X0),X2))),
inference(resolution,[status(thm)],[d12,c2]) ).
cnf(d29,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d30,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[d29,d0]) ).
cnf(d31,plain,
( ~ 'is$ua$utheorem'(implies(X0,X2))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d27,d30]) ).
cnf(d32,plain,
( ~ 'is$ua$utheorem'(implies(X0,implies(X0,X1)))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d33,plain,
( 'is$ua$utheorem'(implies(implies(X0,X0),X0))
| ~ 'is$ua$utheorem'(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[d10,d32]) ).
cnf(d34,plain,
( ~ 'is$ua$utheorem'(implies(X0,X0))
| 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
( ~ 'is$ua$utheorem'(implies(not(X0),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d11,d34]) ).
cnf(d36,plain,
( ~ 'is$ua$utheorem'(implies(not(implies(X0,X1)),X1))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d35,d31]) ).
cnf(d37,plain,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))),
inference(resolution,[status(thm)],[d36,d28]) ).
cnf(d38,plain,
( ~ 'is$ua$utheorem'(implies(not(X0),X0))
| 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d37,d27]) ).
cnf(d39,plain,
'is$ua$utheorem'(implies(not(implies(X0,X0)),X1)),
inference(resolution,[status(thm)],[d38,d24]) ).
cnf(d40,plain,
'is$ua$utheorem'(not(not(implies(X0,X0)))),
inference(resolution,[status(thm)],[d39,d23]) ).
cnf(d41,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| ~ 'is$ua$utheorem'(implies(implies(X1,X1),X2))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d40,d17]) ).
cnf(d42,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,X1),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d41,d11]) ).
cnf(d43,plain,
( ~ 'is$ua$utheorem'(implies(not(X0),X1))
| 'is$ua$utheorem'(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[d42,d10]) ).
cnf(d44,plain,
~ 'is$ua$utheorem'(implies(not(not(a)),a)),
inference(resolution,[status(thm)],[d43,c4]) ).
cnf(d45,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,implies(X2,X1)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d41,c1]) ).
cnf(d46,plain,
( 'is$ua$utheorem'(implies(X1,X0))
| ~ 'is$ua$utheorem'(implies(not(X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[d43,d45]) ).
cnf(d47,plain,
'is$ua$utheorem'(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[d46,d37]) ).
cnf(d48,plain,
$false,
inference(resolution,[status(thm)],[d47,d44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % Computer : n008.cluster.edu
% 0.10/0.45 % Model : x86_64 x86_64
% 0.10/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.45 % Memory : 8046.5625MB
% 0.10/0.45 % OS : Linux 6.8.0-71-generic
% 0.10/0.45 % CPULimit : 300
% 0.10/0.45 % WCLimit : 300
% 0.10/0.45 % DateTime : Fri Sep 25 21:49:24 UTC 2026
% 0.10/0.45 % CPUTime :
% 0.10/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.40/11.21 % SZS status Unsatisfiable for theBenchmark.p
% 38.40/11.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------