%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL013-1 : 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 : n005.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 07:53:33 AM UTC 2026
% Result : Unsatisfiable 8.70s 2.71s
% Output : CNFRefutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 19 ( 0 equ; 10 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; 3 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ) ).
cnf(xgf,axiom,
'is$ua$utheorem'(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))) ).
cnf(prove_um,negated_conjecture,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(equivalent(X0,X1)) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
inference(clausification,[status(esa)],[xgf]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
inference(clausification,[status(esa)],[prove_um]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X0))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(equivalent(X2,equivalent(X0,X1)))
| 'is$ua$utheorem'(equivalent(X1,X2))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( 'is$ua$utheorem'(equivalent(equivalent(X2,X0),X1))
| ~ 'is$ua$utheorem'(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
'is$ua$utheorem'(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.40 % Computer : n005.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8046.5625MB
% 0.16/0.40 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Fri Sep 25 21:43:17 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.70/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.70/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------