%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL113-1 : 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 : 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 07:53:48 AM UTC 2026
% Result : Unsatisfiable 16.82s 4.78s
% Output : CNFRefutation 16.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of clauses : 40 ( 19 unt; 0 nHn; 16 RR)
% Number of literals : 68 ( 0 equ; 31 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 88 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(mv_1,axiom,
'is$ua$utheorem'(implies(X0,implies(X1,X0))) ).
cnf(mv_2,axiom,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
cnf(mv_3,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))) ).
cnf(mv_5,axiom,
'is$ua$utheorem'(implies(implies(not(X0),not(X1)),implies(X1,X0))) ).
cnf(prove_mv_33,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(not(a),b),implies(not(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(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[mv_1]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(clausification,[status(esa)],[mv_2]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(clausification,[status(esa)],[mv_3]) ).
cnf(c4,plain,
'is$ua$utheorem'(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(clausification,[status(esa)],[mv_5]) ).
cnf(c5,plain,
~ 'is$ua$utheorem'(implies(implies(not(a),b),implies(not(b),a))),
inference(clausification,[status(esa)],[prove_mv_33]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(X1,X2))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( 'is$ua$utheorem'(implies(implies(X2,X0),X3))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,X0),X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( 'is$ua$utheorem'(implies(implies(X0,X1),X2))
| ~ 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( 'is$ua$utheorem'(implies(implies(X2,X0),X3))
| ~ 'is$ua$utheorem'(implies(implies(X2,X1),X3))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( 'is$ua$utheorem'(implies(implies(not(X2),X0),implies(X1,X2)))
| ~ 'is$ua$utheorem'(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[d7,c4]) ).
cnf(d9,plain,
~ 'is$ua$utheorem'(implies(b,not(not(b)))),
inference(resolution,[status(thm)],[d8,c5]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(implies(not(X1),not(X0)))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d11,plain,
( 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d12,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X0)) ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
'is$ua$utheorem'(implies(X0,X0)),
inference(resolution,[status(thm)],[d12,c1]) ).
cnf(d14,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d1,d3]) ).
cnf(d15,plain,
( 'is$ua$utheorem'(implies(X2,implies(X1,X0)))
| ~ 'is$ua$utheorem'(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[d14,c4]) ).
cnf(d16,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[d16,d4]) ).
cnf(d18,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,X1),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d17,c0]) ).
cnf(d19,plain,
( 'is$ua$utheorem'(implies(implies(not(X1),not(X0)),X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d20,plain,
( 'is$ua$utheorem'(implies(not(X0),X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d19,d11]) ).
cnf(d21,plain,
'is$ua$utheorem'(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[status(thm)],[d20,c4]) ).
cnf(d22,plain,
( ~ 'is$ua$utheorem'(implies(X3,X0))
| 'is$ua$utheorem'(implies(X2,implies(X3,X1)))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d14,d0]) ).
cnf(d23,plain,
( 'is$ua$utheorem'(implies(X3,implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[d17,d22]) ).
cnf(d24,plain,
'is$ua$utheorem'(implies(X0,implies(not(not(X1)),X1))),
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
'is$ua$utheorem'(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[d24,d18]) ).
cnf(d26,plain,
'is$ua$utheorem'(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[d25,d10]) ).
cnf(d27,plain,
$false,
inference(resolution,[status(thm)],[d26,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL113-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 21:55:10 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.82/4.78 % SZS status Unsatisfiable for theBenchmark.p
% 16.82/4.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------