%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL075-1 : 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 : n026.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 07:53:41 AM UTC 2026
% Result : Unsatisfiable 22.75s 5.68s
% Output : CNFRefutation 22.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 25 ( 0 equ; 9 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_CAMeredith,axiom,
'is$ua$utheorem'(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))) ).
cnf(prove_cn_3,negated_conjecture,
~ 'is$ua$utheorem'(implies(a,implies(not(a),b))) ).
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(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))),
inference(clausification,[status(esa)],[cn_CAMeredith]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(implies(a,implies(not(a),b))),
inference(clausification,[status(esa)],[prove_cn_3]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(implies(X1,X3),implies(not(X4),not(X2))),X4),X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,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)],[d0,c1]) ).
cnf(d2,plain,
'is$ua$utheorem'(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(implies(X2,X2),X1))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
'is$ua$utheorem'(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
'is$ua$utheorem'(implies(implies(implies(implies(not(X0),not(X1)),X0),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(not(X2),not(X0)),X2),X1))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Fri Sep 25 21:51:55 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.75/5.68 % SZS status Unsatisfiable for theBenchmark.p
% 22.75/5.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------