%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS067+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:25:56 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    :   17 (   5 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :   41 (   4 avg)
%            Number of connectives :   85 (  29   ~;  45   |;  11   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_2,plain,
    ! [A] :
      ( ( ca(A)
        | ca(A)
        | cb(A)
        | ~ cunsatisfiable(A) )
      & ( cc(A)
        | ca(A)
        | cb(A)
        | ~ cunsatisfiable(A) )
      & ( ca(A)
        | cb(A)
        | cb(A)
        | ~ cunsatisfiable(A) )
      & ( cc(A)
        | cb(A)
        | cb(A)
        | ~ cunsatisfiable(A) )
      & ( ca(A)
        | ca(A)
        | cc(A)
        | ~ cunsatisfiable(A) )
      & ( cc(A)
        | ca(A)
        | cc(A)
        | ~ cunsatisfiable(A) )
      & ( ca(A)
        | cb(A)
        | cc(A)
        | ~ cunsatisfiable(A) )
      & ( cc(A)
        | cb(A)
        | cc(A)
        | ~ cunsatisfiable(A) )
      & ( ~ cb(A)
        | ~ ca(A)
        | cunsatisfiable(A) )
      & ( ~ cc(A)
        | ~ ca(A)
        | cunsatisfiable(A) )
      & ( ~ cc(A)
        | ~ cb(A)
        | cunsatisfiable(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),
    [] ).

cnf(170495000,plain,
    ( cc(A)
    | ca(A)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

fof(axiom_5,plain,
    cunsatisfiable(i2003_11_14_17_18_1956),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),
    [] ).

cnf(170525208,plain,
    cunsatisfiable(i2003_11_14_17_18_1956),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

cnf(175713504,plain,
    ( cc(i2003_11_14_17_18_1956)
    | ca(i2003_11_14_17_18_1956) ),
    inference(resolution,[status(thm)],[170495000,170525208]),
    [] ).

cnf(170488456,plain,
    ( cc(A)
    | cb(A)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(175704808,plain,
    ( cc(i2003_11_14_17_18_1956)
    | cb(i2003_11_14_17_18_1956) ),
    inference(resolution,[status(thm)],[170488456,170525208]),
    [] ).

fof(axiom_3,plain,
    ! [A] :
      ( ( ~ cb(A)
        | ~ ca(A) )
      & ( ~ cc(A)
        | ~ ca(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),
    [] ).

cnf(170515632,plain,
    ( ~ cb(A)
    | ~ ca(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(175756464,plain,
    cc(i2003_11_14_17_18_1956),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[175713504,175704808,170515632]),
    [] ).

cnf(170507408,plain,
    ( ca(A)
    | cb(A)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(175719776,plain,
    ( ca(i2003_11_14_17_18_1956)
    | cb(i2003_11_14_17_18_1956) ),
    inference(resolution,[status(thm)],[170507408,170525208]),
    [] ).

cnf(170511560,plain,
    ( ~ cc(A)
    | ~ ca(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(175751696,plain,
    cb(i2003_11_14_17_18_1956),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[175719776,175704808,170511560]),
    [] ).

fof(axiom_4,plain,
    ! [A] :
      ( ~ cb(A)
      | ~ cc(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),
    [] ).

cnf(170520520,plain,
    ( ~ cb(A)
    | ~ cc(A) ),
    inference(rewrite,[status(thm)],[axiom_4]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[175756464,175751696,170520520]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_2,plain,(((ca(A)|ca(A)|cb(A)|~cunsatisfiable(A))&(cc(A)|ca(A)|cb(A)|~cunsatisfiable(A))&(ca(A)|cb(A)|cb(A)|~cunsatisfiable(A))&(cc(A)|cb(A)|cb(A)|~cunsatisfiable(A))&(ca(A)|ca(A)|cc(A)|~cunsatisfiable(A))&(cc(A)|ca(A)|cc(A)|~cunsatisfiable(A))&(ca(A)|cb(A)|cc(A)|~cunsatisfiable(A))&(cc(A)|cb(A)|cc(A)|~cunsatisfiable(A))&(~cb(A)|~ca(A)|cunsatisfiable(A))&(~cc(A)|~ca(A)|cunsatisfiable(A))&(~cc(A)|~cb(A)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),[]).
% 
% cnf(170495000,plain,(cc(A)|ca(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% fof(axiom_5,plain,(cunsatisfiable(i2003_11_14_17_18_1956)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),[]).
% 
% cnf(170525208,plain,(cunsatisfiable(i2003_11_14_17_18_1956)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% cnf(175713504,plain,(cc(i2003_11_14_17_18_1956)|ca(i2003_11_14_17_18_1956)),inference(resolution,[status(thm)],[170495000,170525208]),[]).
% 
% cnf(170488456,plain,(cc(A)|cb(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(175704808,plain,(cc(i2003_11_14_17_18_1956)|cb(i2003_11_14_17_18_1956)),inference(resolution,[status(thm)],[170488456,170525208]),[]).
% 
% fof(axiom_3,plain,(((~cb(A)|~ca(A))&(~cc(A)|~ca(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),[]).
% 
% cnf(170515632,plain,(~cb(A)|~ca(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(175756464,plain,(cc(i2003_11_14_17_18_1956)),inference(forward_subsumption_resolution__resolution,[status(thm)],[175713504,175704808,170515632]),[]).
% 
% cnf(170507408,plain,(ca(A)|cb(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(175719776,plain,(ca(i2003_11_14_17_18_1956)|cb(i2003_11_14_17_18_1956)),inference(resolution,[status(thm)],[170507408,170525208]),[]).
% 
% cnf(170511560,plain,(~cc(A)|~ca(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(175751696,plain,(cb(i2003_11_14_17_18_1956)),inference(forward_subsumption_resolution__resolution,[status(thm)],[175719776,175704808,170511560]),[]).
% 
% fof(axiom_4,plain,(~cb(A)|~cc(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS067+1.tptp',unknown),[]).
% 
% cnf(170520520,plain,(~cb(A)|~cc(A)),inference(rewrite,[status(thm)],[axiom_4]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[175756464,175751696,170520520]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------