%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV277-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 16:29:50 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_OkeysFor__mono_0,plain,
    ! [A,B] :
      ( ~ c_lessequals(A,B,tc_set(tc_message_omsg))
      | c_lessequals(c_message_okeysfor(A),c_message_okeysfor(B),tc_set(tc_nat)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),
    [] ).

cnf(159630496,plain,
    ( ~ c_lessequals(A,B,tc_set(tc_message_omsg))
    | c_lessequals(c_message_okeysfor(A),c_message_okeysfor(B),tc_set(tc_nat)) ),
    inference(rewrite,[status(thm)],[cls_Message_OkeysFor__mono_0]),
    [] ).

fof(cls_Message_Oanalz__subset__parts_0,plain,
    ! [A] : c_lessequals(c_message_oanalz(A),c_message_oparts(A),tc_set(tc_message_omsg)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),
    [] ).

cnf(159623744,plain,
    c_lessequals(c_message_oanalz(A),c_message_oparts(A),tc_set(tc_message_omsg)),
    inference(rewrite,[status(thm)],[cls_Message_Oanalz__subset__parts_0]),
    [] ).

cnf(170117120,plain,
    c_lessequals(c_message_okeysfor(c_message_oanalz(A)),c_message_okeysfor(c_message_oparts(A)),tc_set(tc_nat)),
    inference(resolution,[status(thm)],[159630496,159623744]),
    [] ).

fof(cls_Set_OsubsetD_0,plain,
    ! [A,B,C,D] :
      ( ~ c_in(A,B,C)
      | ~ c_lessequals(B,D,tc_set(C))
      | c_in(A,D,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),
    [] ).

cnf(159647136,plain,
    ( ~ c_in(A,B,C)
    | ~ c_lessequals(B,D,tc_set(C))
    | c_in(A,D,C) ),
    inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),
    [] ).

fof(cls_conjecture_3,plain,
    c_in(v_k,c_message_okeysfor(c_message_oanalz(v_h)),tc_nat),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),
    [] ).

cnf(159660336,plain,
    c_in(v_k,c_message_okeysfor(c_message_oanalz(v_h)),tc_nat),
    inference(rewrite,[status(thm)],[cls_conjecture_3]),
    [] ).

cnf(170096816,plain,
    ( ~ c_lessequals(c_message_okeysfor(c_message_oanalz(v_h)),A,tc_set(tc_nat))
    | c_in(v_k,A,tc_nat) ),
    inference(resolution,[status(thm)],[159647136,159660336]),
    [] ).

fof(cls_conjecture_2,plain,
    ~ c_in(v_k,c_message_okeysfor(c_message_oparts(v_h)),tc_nat),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),
    [] ).

cnf(159655328,plain,
    ~ c_in(v_k,c_message_okeysfor(c_message_oparts(v_h)),tc_nat),
    inference(rewrite,[status(thm)],[cls_conjecture_2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170117120,170096816,159655328]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_OkeysFor__mono_0,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_okeysfor(A),c_message_okeysfor(B),tc_set(tc_nat))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),[]).
% 
% cnf(159630496,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_okeysfor(A),c_message_okeysfor(B),tc_set(tc_nat))),inference(rewrite,[status(thm)],[cls_Message_OkeysFor__mono_0]),[]).
% 
% fof(cls_Message_Oanalz__subset__parts_0,plain,(c_lessequals(c_message_oanalz(A),c_message_oparts(A),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),[]).
% 
% cnf(159623744,plain,(c_lessequals(c_message_oanalz(A),c_message_oparts(A),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Oanalz__subset__parts_0]),[]).
% 
% cnf(170117120,plain,(c_lessequals(c_message_okeysfor(c_message_oanalz(A)),c_message_okeysfor(c_message_oparts(A)),tc_set(tc_nat))),inference(resolution,[status(thm)],[159630496,159623744]),[]).
% 
% fof(cls_Set_OsubsetD_0,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),[]).
% 
% cnf(159647136,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),[]).
% 
% fof(cls_conjecture_3,plain,(c_in(v_k,c_message_okeysfor(c_message_oanalz(v_h)),tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),[]).
% 
% cnf(159660336,plain,(c_in(v_k,c_message_okeysfor(c_message_oanalz(v_h)),tc_nat)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
% 
% cnf(170096816,plain,(~c_lessequals(c_message_okeysfor(c_message_oanalz(v_h)),A,tc_set(tc_nat))|c_in(v_k,A,tc_nat)),inference(resolution,[status(thm)],[159647136,159660336]),[]).
% 
% fof(cls_conjecture_2,plain,(~c_in(v_k,c_message_okeysfor(c_message_oparts(v_h)),tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV277-2.tptp',unknown),[]).
% 
% cnf(159655328,plain,(~c_in(v_k,c_message_okeysfor(c_message_oparts(v_h)),tc_nat)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[170117120,170096816,159655328]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------