%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LCL035-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 13:40:21 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   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   :   43 (  24 sgn   7   !;   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/LCL035-1.tptp',unknown),
    [] ).

cnf(146946560,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/LCL035-1.tptp',unknown),
    [] ).

cnf(146937488,plain,
    ( ~ is_a_theorem(implies(A,B))
    | ~ is_a_theorem(A)
    | is_a_theorem(B) ),
    inference(rewrite,[status(thm)],[condensed_detachment]),
    [] ).

fof(c0_CAMerideth,plain,
    ! [A,B,C,D,E] : is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL035-1.tptp',unknown),
    [] ).

cnf(146942480,plain,
    is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))),
    inference(rewrite,[status(thm)],[c0_CAMerideth]),
    [] ).

cnf(154750336,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E))
    | is_a_theorem(implies(implies(E,A),implies(C,A))) ),
    inference(resolution,[status(thm)],[146937488,146942480]),
    [] ).

cnf(156394608,plain,
    is_a_theorem(implies(implies(implies(implies(B,C),implies(E,C)),implies(C,D)),implies(A,implies(C,D)))),
    inference(resolution,[status(thm)],[154750336,146942480]),
    [] ).

cnf(156884552,plain,
    is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A))),
    inference(resolution,[status(thm)],[154750336,156394608]),
    [] ).

cnf(156928352,plain,
    ( ~ is_a_theorem(implies(implies(C,implies(falsehood,D)),A))
    | is_a_theorem(implies(B,A)) ),
    inference(resolution,[status(thm)],[146937488,156884552]),
    [] ).

cnf(157010384,plain,
    is_a_theorem(implies(A,implies(C,implies(falsehood,B)))),
    inference(resolution,[status(thm)],[156928352,156884552]),
    [] ).

cnf(157050712,plain,
    ( ~ is_a_theorem(A)
    | is_a_theorem(implies(C,implies(falsehood,B))) ),
    inference(resolution,[status(thm)],[146937488,157010384]),
    [] ).

cnf(157074440,plain,
    is_a_theorem(implies(B,implies(falsehood,A))),
    inference(resolution,[status(thm)],[157050712,157010384]),
    [] ).

cnf(157099136,plain,
    ( ~ is_a_theorem(A)
    | is_a_theorem(implies(falsehood,B)) ),
    inference(resolution,[status(thm)],[146937488,157074440]),
    [] ).

cnf(157107296,plain,
    is_a_theorem(implies(falsehood,A)),
    inference(resolution,[status(thm)],[157099136,157074440]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[146946560,157107296]),
    [] ).

%------------------------------------------------------------------------------
%----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/LCL035-1.tptp',unknown),[]).
% 
% cnf(146946560,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/LCL035-1.tptp',unknown),[]).
% 
% cnf(146937488,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
% 
% fof(c0_CAMerideth,plain,(is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL035-1.tptp',unknown),[]).
% 
% cnf(146942480,plain,(is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A))))),inference(rewrite,[status(thm)],[c0_CAMerideth]),[]).
% 
% cnf(154750336,plain,(~is_a_theorem(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E))|is_a_theorem(implies(implies(E,A),implies(C,A)))),inference(resolution,[status(thm)],[146937488,146942480]),[]).
% 
% cnf(156394608,plain,(is_a_theorem(implies(implies(implies(implies(B,C),implies(E,C)),implies(C,D)),implies(A,implies(C,D))))),inference(resolution,[status(thm)],[154750336,146942480]),[]).
% 
% cnf(156884552,plain,(is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A)))),inference(resolution,[status(thm)],[154750336,156394608]),[]).
% 
% cnf(156928352,plain,(~is_a_theorem(implies(implies(C,implies(falsehood,D)),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[146937488,156884552]),[]).
% 
% cnf(157010384,plain,(is_a_theorem(implies(A,implies(C,implies(falsehood,B))))),inference(resolution,[status(thm)],[156928352,156884552]),[]).
% 
% cnf(157050712,plain,(~is_a_theorem(A)|is_a_theorem(implies(C,implies(falsehood,B)))),inference(resolution,[status(thm)],[146937488,157010384]),[]).
% 
% cnf(157074440,plain,(is_a_theorem(implies(B,implies(falsehood,A)))),inference(resolution,[status(thm)],[157050712,157010384]),[]).
% 
% cnf(157099136,plain,(~is_a_theorem(A)|is_a_theorem(implies(falsehood,B))),inference(resolution,[status(thm)],[146937488,157074440]),[]).
% 
% cnf(157107296,plain,(is_a_theorem(implies(falsehood,A))),inference(resolution,[status(thm)],[157099136,157074440]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[146946560,157107296]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------