%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV269-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 16:29:33 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    9 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Set_OUn__iff_2,plain,
    ! [A,B,C,D] :
      ( ~ c_in(A,B,C)
      | c_in(A,c_union(D,B,C),C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV269-2.tptp',unknown),
    [] ).

cnf(156782840,plain,
    ( ~ c_in(A,B,C)
    | c_in(A,c_union(D,B,C),C) ),
    inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),
    [] ).

fof(cls_conjecture_0,plain,
    c_in(v_x,c_message_osynth(v_h),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV269-2.tptp',unknown),
    [] ).

cnf(156758288,plain,
    c_in(v_x,c_message_osynth(v_h),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

cnf(167186264,plain,
    c_in(v_x,c_union(A,c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
    inference(resolution,[status(thm)],[156782840,156758288]),
    [] ).

fof(cls_conjecture_1,plain,
    ~ c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV269-2.tptp',unknown),
    [] ).

cnf(156763272,plain,
    ~ c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[167186264,156763272]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_OUn__iff_2,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV269-2.tptp',unknown),[]).
% 
% cnf(156782840,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),[]).
% 
% fof(cls_conjecture_0,plain,(c_in(v_x,c_message_osynth(v_h),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV269-2.tptp',unknown),[]).
% 
% cnf(156758288,plain,(c_in(v_x,c_message_osynth(v_h),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% cnf(167186264,plain,(c_in(v_x,c_union(A,c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[156782840,156758288]),[]).
% 
% fof(cls_conjecture_1,plain,(~c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV269-2.tptp',unknown),[]).
% 
% cnf(156763272,plain,(~c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167186264,156763272]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------