%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LCL414-1 : TPTP v3.4.2. Released v2.5.0.
% 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 13:49:33 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    :   12 (   9 unt;   0 def)
%            Number of atoms       :   17 (   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    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   21 (   4 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm147_1,plain,
    ! [A,B] :
      ( a_truth(A)
      | ~ a_truth(B)
      | ~ a_truth(implies(B,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),
    [] ).

cnf(149132848,plain,
    ( a_truth(A)
    | ~ a_truth(B)
    | ~ a_truth(implies(B,A)) ),
    inference(rewrite,[status(thm)],[thm147_1]),
    [] ).

fof(thm147_2,plain,
    ! [A,B] : a_truth(implies(A,implies(B,A))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),
    [] ).

cnf(149136824,plain,
    a_truth(implies(A,implies(B,A))),
    inference(rewrite,[status(thm)],[thm147_2]),
    [] ).

cnf(167404624,plain,
    ( a_truth(A)
    | ~ a_truth(implies(implies(B,implies(C,B)),A)) ),
    inference(resolution,[status(thm)],[149132848,149136824]),
    [] ).

fof(thm147_3,plain,
    ! [A,B,C] : a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),
    [] ).

cnf(149140920,plain,
    a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
    inference(rewrite,[status(thm)],[thm147_3]),
    [] ).

cnf(168518328,plain,
    a_truth(implies(implies(A,B),implies(A,A))),
    inference(resolution,[status(thm)],[167404624,149140920]),
    [] ).

fof(thm147_5,plain,
    ~ a_truth(implies(sk1,sk1)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),
    [] ).

cnf(149153440,plain,
    ~ a_truth(implies(sk1,sk1)),
    inference(rewrite,[status(thm)],[thm147_5]),
    [] ).

cnf(167440504,plain,
    ~ a_truth(implies(implies(A,implies(B,A)),implies(sk1,sk1))),
    inference(resolution,[status(thm)],[167404624,149153440]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[168518328,167440504]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm147_1,plain,(a_truth(A)|~a_truth(B)|~a_truth(implies(B,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),[]).
% 
% cnf(149132848,plain,(a_truth(A)|~a_truth(B)|~a_truth(implies(B,A))),inference(rewrite,[status(thm)],[thm147_1]),[]).
% 
% fof(thm147_2,plain,(a_truth(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),[]).
% 
% cnf(149136824,plain,(a_truth(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[thm147_2]),[]).
% 
% cnf(167404624,plain,(a_truth(A)|~a_truth(implies(implies(B,implies(C,B)),A))),inference(resolution,[status(thm)],[149132848,149136824]),[]).
% 
% fof(thm147_3,plain,(a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),[]).
% 
% cnf(149140920,plain,(a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),inference(rewrite,[status(thm)],[thm147_3]),[]).
% 
% cnf(168518328,plain,(a_truth(implies(implies(A,B),implies(A,A)))),inference(resolution,[status(thm)],[167404624,149140920]),[]).
% 
% fof(thm147_5,plain,(~a_truth(implies(sk1,sk1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL414-1.tptp',unknown),[]).
% 
% cnf(149153440,plain,(~a_truth(implies(sk1,sk1))),inference(rewrite,[status(thm)],[thm147_5]),[]).
% 
% cnf(167440504,plain,(~a_truth(implies(implies(A,implies(B,A)),implies(sk1,sk1)))),inference(resolution,[status(thm)],[167404624,149153440]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168518328,167440504]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------