%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LCL076-2 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:41:16 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   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   :   13 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
    ! [A,B] :
      ( ~ is_a_theorem(implies(A,B))
      | ~ is_a_theorem(A)
      | is_a_theorem(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),
    [] ).

cnf(171973512,plain,
    ( ~ is_a_theorem(implies(A,B))
    | ~ is_a_theorem(A)
    | is_a_theorem(B) ),
    inference(rewrite,[status(thm)],[condensed_detachment]),
    [] ).

fof(extra_lemma,plain,
    ! [A] : is_a_theorem(implies(not(not(A)),A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),
    [] ).

cnf(171994200,plain,
    is_a_theorem(implies(not(not(A)),A)),
    inference(rewrite,[status(thm)],[extra_lemma]),
    [] ).

cnf(179957896,plain,
    ( ~ is_a_theorem(implies(implies(not(not(B)),B),A))
    | is_a_theorem(A) ),
    inference(resolution,[status(thm)],[171973512,171994200]),
    [] ).

fof(cn_49,plain,
    ! [A,B] : is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),
    [] ).

cnf(171986296,plain,
    is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
    inference(rewrite,[status(thm)],[cn_49]),
    [] ).

cnf(181776136,plain,
    is_a_theorem(implies(A,not(not(A)))),
    inference(resolution,[status(thm)],[179957896,171986296]),
    [] ).

fof(prove_cn_40,plain,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),
    [] ).

cnf(171998040,plain,
    ~ is_a_theorem(implies(a,not(not(a)))),
    inference(rewrite,[status(thm)],[prove_cn_40]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[181776136,171998040]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),[]).
% 
% cnf(171973512,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
% 
% fof(extra_lemma,plain,(is_a_theorem(implies(not(not(A)),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),[]).
% 
% cnf(171994200,plain,(is_a_theorem(implies(not(not(A)),A))),inference(rewrite,[status(thm)],[extra_lemma]),[]).
% 
% cnf(179957896,plain,(~is_a_theorem(implies(implies(not(not(B)),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[171973512,171994200]),[]).
% 
% fof(cn_49,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),[]).
% 
% cnf(171986296,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),inference(rewrite,[status(thm)],[cn_49]),[]).
% 
% cnf(181776136,plain,(is_a_theorem(implies(A,not(not(A))))),inference(resolution,[status(thm)],[179957896,171986296]),[]).
% 
% fof(prove_cn_40,plain,(~is_a_theorem(implies(a,not(not(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-2.tptp',unknown),[]).
% 
% cnf(171998040,plain,(~is_a_theorem(implies(a,not(not(a))))),inference(rewrite,[status(thm)],[prove_cn_40]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181776136,171998040]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------