%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV267-2 : TPTP v3.4.2. Released v3.2.0.
% 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 16:29:27 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    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Set_Osubset__trans_0,plain,
    ! [A,B,C,D] :
      ( ~ c_lessequals(A,B,tc_set(C))
      | ~ c_lessequals(D,A,tc_set(C))
      | c_lessequals(D,B,tc_set(C)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),
    [] ).

cnf(141385712,plain,
    ( ~ c_lessequals(A,B,tc_set(C))
    | ~ c_lessequals(D,A,tc_set(C))
    | c_lessequals(D,B,tc_set(C)) ),
    inference(rewrite,[status(thm)],[cls_Set_Osubset__trans_0]),
    [] ).

fof(cls_Message_Oparts__increasing_0,plain,
    ! [A] : c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),
    [] ).

cnf(141378344,plain,
    c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg)),
    inference(rewrite,[status(thm)],[cls_Message_Oparts__increasing_0]),
    [] ).

cnf(151811712,plain,
    ( ~ c_lessequals(c_message_oparts(B),A,tc_set(tc_message_omsg))
    | c_lessequals(B,A,tc_set(tc_message_omsg)) ),
    inference(resolution,[status(thm)],[141385712,141378344]),
    [] ).

fof(cls_conjecture_0,plain,
    c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),
    [] ).

cnf(141369496,plain,
    c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg)),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

cnf(151830536,plain,
    c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg)),
    inference(resolution,[status(thm)],[151811712,141369496]),
    [] ).

fof(cls_conjecture_1,plain,
    ~ c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),
    [] ).

cnf(141374344,plain,
    ~ c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg)),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[151830536,141374344]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_Osubset__trans_0,plain,(~c_lessequals(A,B,tc_set(C))|~c_lessequals(D,A,tc_set(C))|c_lessequals(D,B,tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),[]).
% 
% cnf(141385712,plain,(~c_lessequals(A,B,tc_set(C))|~c_lessequals(D,A,tc_set(C))|c_lessequals(D,B,tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_Osubset__trans_0]),[]).
% 
% fof(cls_Message_Oparts__increasing_0,plain,(c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),[]).
% 
% cnf(141378344,plain,(c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Oparts__increasing_0]),[]).
% 
% cnf(151811712,plain,(~c_lessequals(c_message_oparts(B),A,tc_set(tc_message_omsg))|c_lessequals(B,A,tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[141385712,141378344]),[]).
% 
% fof(cls_conjecture_0,plain,(c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),[]).
% 
% cnf(141369496,plain,(c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% cnf(151830536,plain,(c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[151811712,141369496]),[]).
% 
% fof(cls_conjecture_1,plain,(~c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV267-2.tptp',unknown),[]).
% 
% cnf(141374344,plain,(~c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[151830536,141374344]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------