TSTP Solution File: SWV263-1 by Faust---1.0

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%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV263-1 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:29:11 EDT 2009

% Result   : Unsatisfiable 4.8s
% Output   : Refutation 4.8s
% 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 :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_1,plain,
    c_in(v_x,v_g,tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),
    [] ).

cnf(183443672,plain,
    c_in(v_x,v_g,tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

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/SWV263-1.tptp',unknown),
    [] ).

cnf(160832480,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_0,plain,
    c_lessequals(v_g,v_h,tc_set(tc_message_omsg)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),
    [] ).

cnf(183439688,plain,
    c_lessequals(v_g,v_h,tc_set(tc_message_omsg)),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

cnf(229093256,plain,
    ( ~ c_in(A,v_g,tc_message_omsg)
    | c_in(A,v_h,tc_message_omsg) ),
    inference(resolution,[status(thm)],[160832480,183439688]),
    [] ).

fof(cls_Message_Oparts_OInj_0,plain,
    ! [A,B] :
      ( ~ c_in(A,B,tc_message_omsg)
      | c_in(A,c_message_oparts(B),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),
    [] ).

cnf(183426568,plain,
    ( ~ c_in(A,B,tc_message_omsg)
    | c_in(A,c_message_oparts(B),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),
    [] ).

fof(cls_conjecture_2,plain,
    ~ c_in(v_x,c_message_oparts(v_h),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),
    [] ).

cnf(183452168,plain,
    ~ c_in(v_x,c_message_oparts(v_h),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_2]),
    [] ).

cnf(230092608,plain,
    ~ c_in(v_x,v_h,tc_message_omsg),
    inference(resolution,[status(thm)],[183426568,183452168]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[183443672,229093256,230092608]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_1,plain,(c_in(v_x,v_g,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),[]).
% 
% cnf(183443672,plain,(c_in(v_x,v_g,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% 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/SWV263-1.tptp',unknown),[]).
% 
% cnf(160832480,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_0,plain,(c_lessequals(v_g,v_h,tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),[]).
% 
% cnf(183439688,plain,(c_lessequals(v_g,v_h,tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% cnf(229093256,plain,(~c_in(A,v_g,tc_message_omsg)|c_in(A,v_h,tc_message_omsg)),inference(resolution,[status(thm)],[160832480,183439688]),[]).
% 
% fof(cls_Message_Oparts_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),[]).
% 
% cnf(183426568,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),[]).
% 
% fof(cls_conjecture_2,plain,(~c_in(v_x,c_message_oparts(v_h),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-1.tptp',unknown),[]).
% 
% cnf(183452168,plain,(~c_in(v_x,c_message_oparts(v_h),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
% 
% cnf(230092608,plain,(~c_in(v_x,v_h,tc_message_omsg)),inference(resolution,[status(thm)],[183426568,183452168]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[183443672,229093256,230092608]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------