%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LCL360-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 13:48:28 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 :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   1 sgn   7   !;   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/LCL360-1.tptp',unknown),
    [] ).

cnf(163440312,plain,
    ( ~ is_a_theorem(implies(A,B))
    | ~ is_a_theorem(A)
    | is_a_theorem(B) ),
    inference(rewrite,[status(thm)],[condensed_detachment]),
    [] ).

fof(cn_1,plain,
    ! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL360-1.tptp',unknown),
    [] ).

cnf(163445200,plain,
    is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
    inference(rewrite,[status(thm)],[cn_1]),
    [] ).

cnf(171361528,plain,
    ( ~ is_a_theorem(implies(A,B))
    | is_a_theorem(implies(implies(B,C),implies(A,C))) ),
    inference(resolution,[status(thm)],[163440312,163445200]),
    [] ).

fof(prove_cn_09,plain,
    ~ is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL360-1.tptp',unknown),
    [] ).

cnf(163461128,plain,
    ~ is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z))),
    inference(rewrite,[status(thm)],[prove_cn_09]),
    [] ).

cnf(173190160,plain,
    ~ is_a_theorem(implies(x,implies(not(x),y))),
    inference(resolution,[status(thm)],[171361528,163461128]),
    [] ).

fof(cn_3,plain,
    ! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL360-1.tptp',unknown),
    [] ).

cnf(163453232,plain,
    is_a_theorem(implies(A,implies(not(A),B))),
    inference(rewrite,[status(thm)],[cn_3]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[173190160,163453232]),
    [] ).

%------------------------------------------------------------------------------
%----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/LCL360-1.tptp',unknown),[]).
% 
% cnf(163440312,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
% 
% fof(cn_1,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL360-1.tptp',unknown),[]).
% 
% cnf(163445200,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
% 
% cnf(171361528,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[163440312,163445200]),[]).
% 
% fof(prove_cn_09,plain,(~is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL360-1.tptp',unknown),[]).
% 
% cnf(163461128,plain,(~is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z)))),inference(rewrite,[status(thm)],[prove_cn_09]),[]).
% 
% cnf(173190160,plain,(~is_a_theorem(implies(x,implies(not(x),y)))),inference(resolution,[status(thm)],[171361528,163461128]),[]).
% 
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL360-1.tptp',unknown),[]).
% 
% cnf(163453232,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173190160,163453232]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------