%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LCL027-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 13:40:11 EDT 2009

% Result   : Unsatisfiable 0.8s
% Output   : Refutation 0.8s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  12 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   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;   2 con; 0-2 aty)
%            Number of variables   :   29 (   5 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_c0_4,plain,
    ~ is_a_theorem(implies(falsehood,a)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),
    [] ).

cnf(153405752,plain,
    ~ is_a_theorem(implies(falsehood,a)),
    inference(rewrite,[status(thm)],[prove_c0_4]),
    [] ).

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/LCL027-1.tptp',unknown),
    [] ).

cnf(153385232,plain,
    ( ~ is_a_theorem(implies(A,B))
    | ~ is_a_theorem(A)
    | is_a_theorem(B) ),
    inference(rewrite,[status(thm)],[condensed_detachment]),
    [] ).

fof(c0_2,plain,
    ! [A,B] : is_a_theorem(implies(A,implies(B,A))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),
    [] ).

cnf(153389984,plain,
    is_a_theorem(implies(A,implies(B,A))),
    inference(rewrite,[status(thm)],[c0_2]),
    [] ).

cnf(161421984,plain,
    ( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
    | is_a_theorem(A) ),
    inference(resolution,[status(thm)],[153385232,153389984]),
    [] ).

fof(c0_6,plain,
    ! [A,B,C] : is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),
    [] ).

cnf(153397944,plain,
    is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
    inference(rewrite,[status(thm)],[c0_6]),
    [] ).

cnf(161300256,plain,
    ( ~ is_a_theorem(implies(A,implies(B,C)))
    | is_a_theorem(implies(implies(A,B),implies(A,C))) ),
    inference(resolution,[status(thm)],[153385232,153397944]),
    [] ).

cnf(161399448,plain,
    ( ~ is_a_theorem(A)
    | is_a_theorem(implies(B,A)) ),
    inference(resolution,[status(thm)],[153385232,153389984]),
    [] ).

fof(c0_5,plain,
    ! [A] : is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),
    [] ).

cnf(153394024,plain,
    is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A)),
    inference(rewrite,[status(thm)],[c0_5]),
    [] ).

cnf(161532888,plain,
    is_a_theorem(implies(A,implies(implies(implies(B,falsehood),falsehood),B))),
    inference(resolution,[status(thm)],[161399448,153394024]),
    [] ).

cnf(169808168,plain,
    is_a_theorem(implies(implies(A,implies(implies(B,falsehood),falsehood)),implies(A,B))),
    inference(resolution,[status(thm)],[161300256,161532888]),
    [] ).

cnf(179749064,plain,
    is_a_theorem(implies(falsehood,A)),
    inference(resolution,[status(thm)],[161421984,169808168]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[153405752,179749064]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_c0_4,plain,(~is_a_theorem(implies(falsehood,a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),[]).
% 
% cnf(153405752,plain,(~is_a_theorem(implies(falsehood,a))),inference(rewrite,[status(thm)],[prove_c0_4]),[]).
% 
% 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/LCL027-1.tptp',unknown),[]).
% 
% cnf(153385232,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
% 
% fof(c0_2,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),[]).
% 
% cnf(153389984,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[c0_2]),[]).
% 
% cnf(161421984,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[153385232,153389984]),[]).
% 
% fof(c0_6,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),[]).
% 
% cnf(153397944,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),inference(rewrite,[status(thm)],[c0_6]),[]).
% 
% cnf(161300256,plain,(~is_a_theorem(implies(A,implies(B,C)))|is_a_theorem(implies(implies(A,B),implies(A,C)))),inference(resolution,[status(thm)],[153385232,153397944]),[]).
% 
% cnf(161399448,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[153385232,153389984]),[]).
% 
% fof(c0_5,plain,(is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL027-1.tptp',unknown),[]).
% 
% cnf(153394024,plain,(is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A))),inference(rewrite,[status(thm)],[c0_5]),[]).
% 
% cnf(161532888,plain,(is_a_theorem(implies(A,implies(implies(implies(B,falsehood),falsehood),B)))),inference(resolution,[status(thm)],[161399448,153394024]),[]).
% 
% cnf(169808168,plain,(is_a_theorem(implies(implies(A,implies(implies(B,falsehood),falsehood)),implies(A,B)))),inference(resolution,[status(thm)],[161300256,161532888]),[]).
% 
% cnf(179749064,plain,(is_a_theorem(implies(falsehood,A))),inference(resolution,[status(thm)],[161421984,169808168]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[153405752,179749064]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------