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Faust---1.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN733+1 : TPTP v3.4.2. Released v2.5.0.
% 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 18:20:55 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :  324 (  55 avg)
%            Number of connectives :  435 ( 110   ~; 245   |;  80   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   87 (  16 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    7 (   4 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(y2141,plain,
    ! [C,A] :
      ( ( ~ p(C)
        | ~ p(C)
        | ~ q(C)
        | q(y(A)) )
      & ( q(A)
        | ~ p(C)
        | ~ q(C)
        | q(y(A)) )
      & ( p(A)
        | ~ p(C)
        | ~ q(C)
        | q(y(A)) )
      & ( ~ p(C)
        | q(y(A))
        | ~ q(C)
        | q(y(A)) )
      & ( q(A)
        | q(y(A))
        | ~ q(C)
        | q(y(A)) )
      & ( p(A)
        | q(y(A))
        | ~ q(C)
        | q(y(A)) )
      & ( ~ p(C)
        | p(A)
        | ~ q(C)
        | q(y(A)) )
      & ( q(A)
        | p(A)
        | ~ q(C)
        | q(y(A)) )
      & ( p(A)
        | p(A)
        | ~ q(C)
        | q(y(A)) )
      & ( ~ p(C)
        | ~ p(C)
        | q(A)
        | q(y(A)) )
      & ( q(A)
        | ~ p(C)
        | q(A)
        | q(y(A)) )
      & ( p(A)
        | ~ p(C)
        | q(A)
        | q(y(A)) )
      & ( ~ p(C)
        | q(y(A))
        | q(A)
        | q(y(A)) )
      & ( q(A)
        | q(y(A))
        | q(A)
        | q(y(A)) )
      & ( p(A)
        | q(y(A))
        | q(A)
        | q(y(A)) )
      & ( ~ p(C)
        | p(A)
        | q(A)
        | q(y(A)) )
      & ( q(A)
        | p(A)
        | q(A)
        | q(y(A)) )
      & ( p(A)
        | p(A)
        | q(A)
        | q(y(A)) )
      & ( ~ p(C)
        | ~ p(C)
        | p(A)
        | q(y(A)) )
      & ( q(A)
        | ~ p(C)
        | p(A)
        | q(y(A)) )
      & ( p(A)
        | ~ p(C)
        | p(A)
        | q(y(A)) )
      & ( ~ p(C)
        | q(y(A))
        | p(A)
        | q(y(A)) )
      & ( q(A)
        | q(y(A))
        | p(A)
        | q(y(A)) )
      & ( p(A)
        | q(y(A))
        | p(A)
        | q(y(A)) )
      & ( ~ p(C)
        | p(A)
        | p(A)
        | q(y(A)) )
      & ( q(A)
        | p(A)
        | p(A)
        | q(y(A)) )
      & ( p(A)
        | p(A)
        | p(A)
        | q(y(A)) )
      & ( ~ p(C)
        | ~ p(C)
        | ~ q(C)
        | p(A) )
      & ( q(A)
        | ~ p(C)
        | ~ q(C)
        | p(A) )
      & ( p(A)
        | ~ p(C)
        | ~ q(C)
        | p(A) )
      & ( ~ p(C)
        | q(y(A))
        | ~ q(C)
        | p(A) )
      & ( q(A)
        | q(y(A))
        | ~ q(C)
        | p(A) )
      & ( p(A)
        | q(y(A))
        | ~ q(C)
        | p(A) )
      & ( ~ p(C)
        | p(A)
        | ~ q(C)
        | p(A) )
      & ( q(A)
        | p(A)
        | ~ q(C)
        | p(A) )
      & ( p(A)
        | p(A)
        | ~ q(C)
        | p(A) )
      & ( ~ p(C)
        | ~ p(C)
        | q(A)
        | p(A) )
      & ( q(A)
        | ~ p(C)
        | q(A)
        | p(A) )
      & ( p(A)
        | ~ p(C)
        | q(A)
        | p(A) )
      & ( ~ p(C)
        | q(y(A))
        | q(A)
        | p(A) )
      & ( q(A)
        | q(y(A))
        | q(A)
        | p(A) )
      & ( p(A)
        | q(y(A))
        | q(A)
        | p(A) )
      & ( ~ p(C)
        | p(A)
        | q(A)
        | p(A) )
      & ( q(A)
        | p(A)
        | q(A)
        | p(A) )
      & ( p(A)
        | p(A)
        | q(A)
        | p(A) )
      & ( ~ p(C)
        | ~ p(C)
        | p(A)
        | p(A) )
      & ( q(A)
        | ~ p(C)
        | p(A)
        | p(A) )
      & ( p(A)
        | ~ p(C)
        | p(A)
        | p(A) )
      & ( ~ p(C)
        | q(y(A))
        | p(A)
        | p(A) )
      & ( q(A)
        | q(y(A))
        | p(A)
        | p(A) )
      & ( p(A)
        | q(y(A))
        | p(A)
        | p(A) )
      & ( ~ p(C)
        | p(A)
        | p(A)
        | p(A) )
      & ( q(A)
        | p(A)
        | p(A)
        | p(A) )
      & ( p(A)
        | p(A)
        | p(A)
        | p(A) )
      & ( ~ p(C)
        | ~ p(C)
        | ~ q(C)
        | ~ q(C) )
      & ( q(A)
        | ~ p(C)
        | ~ q(C)
        | ~ q(C) )
      & ( p(A)
        | ~ p(C)
        | ~ q(C)
        | ~ q(C) )
      & ( ~ p(C)
        | q(y(A))
        | ~ q(C)
        | ~ q(C) )
      & ( q(A)
        | q(y(A))
        | ~ q(C)
        | ~ q(C) )
      & ( p(A)
        | q(y(A))
        | ~ q(C)
        | ~ q(C) )
      & ( ~ p(C)
        | p(A)
        | ~ q(C)
        | ~ q(C) )
      & ( q(A)
        | p(A)
        | ~ q(C)
        | ~ q(C) )
      & ( p(A)
        | p(A)
        | ~ q(C)
        | ~ q(C) )
      & ( ~ p(C)
        | ~ p(C)
        | q(A)
        | ~ q(C) )
      & ( q(A)
        | ~ p(C)
        | q(A)
        | ~ q(C) )
      & ( p(A)
        | ~ p(C)
        | q(A)
        | ~ q(C) )
      & ( ~ p(C)
        | q(y(A))
        | q(A)
        | ~ q(C) )
      & ( q(A)
        | q(y(A))
        | q(A)
        | ~ q(C) )
      & ( p(A)
        | q(y(A))
        | q(A)
        | ~ q(C) )
      & ( ~ p(C)
        | p(A)
        | q(A)
        | ~ q(C) )
      & ( q(A)
        | p(A)
        | q(A)
        | ~ q(C) )
      & ( p(A)
        | p(A)
        | q(A)
        | ~ q(C) )
      & ( ~ p(C)
        | ~ p(C)
        | p(A)
        | ~ q(C) )
      & ( q(A)
        | ~ p(C)
        | p(A)
        | ~ q(C) )
      & ( p(A)
        | ~ p(C)
        | p(A)
        | ~ q(C) )
      & ( ~ p(C)
        | q(y(A))
        | p(A)
        | ~ q(C) )
      & ( q(A)
        | q(y(A))
        | p(A)
        | ~ q(C) )
      & ( p(A)
        | q(y(A))
        | p(A)
        | ~ q(C) )
      & ( ~ p(C)
        | p(A)
        | p(A)
        | ~ q(C) )
      & ( q(A)
        | p(A)
        | p(A)
        | ~ q(C) )
      & ( p(A)
        | p(A)
        | p(A)
        | ~ q(C) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN733+1.tptp',unknown),
    [] ).

cnf(168570160,plain,
    ( p(A)
    | ~ q(C) ),
    inference(rewrite,[status(thm)],[y2141]),
    [] ).

cnf(168589224,plain,
    ~ q(C),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[y2141,168570160]),
    [] ).

cnf(168599216,plain,
    ( q(A)
    | q(y(A)) ),
    inference(rewrite,[status(thm)],[y2141]),
    [] ).

cnf(189462576,plain,
    q(A),
    inference(resolution,[status(thm)],[168599216,168589224]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[168589224,189462576]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(y2141,plain,(((~p(C)|~p(C)|~q(C)|q(y(A)))&(q(A)|~p(C)|~q(C)|q(y(A)))&(p(A)|~p(C)|~q(C)|q(y(A)))&(~p(C)|q(y(A))|~q(C)|q(y(A)))&(q(A)|q(y(A))|~q(C)|q(y(A)))&(p(A)|q(y(A))|~q(C)|q(y(A)))&(~p(C)|p(A)|~q(C)|q(y(A)))&(q(A)|p(A)|~q(C)|q(y(A)))&(p(A)|p(A)|~q(C)|q(y(A)))&(~p(C)|~p(C)|q(A)|q(y(A)))&(q(A)|~p(C)|q(A)|q(y(A)))&(p(A)|~p(C)|q(A)|q(y(A)))&(~p(C)|q(y(A))|q(A)|q(y(A)))&(q(A)|q(y(A))|q(A)|q(y(A)))&(p(A)|q(y(A))|q(A)|q(y(A)))&(~p(C)|p(A)|q(A)|q(y(A)))&(q(A)|p(A)|q(A)|q(y(A)))&(p(A)|p(A)|q(A)|q(y(A)))&(~p(C)|~p(C)|p(A)|q(y(A)))&(q(A)|~p(C)|p(A)|q(y(A)))&(p(A)|~p(C)|p(A)|q(y(A)))&(~p(C)|q(y(A))|p(A)|q(y(A)))&(q(A)|q(y(A))|p(A)|q(y(A)))&(p(A)|q(y(A))|p(A)|q(y(A)))&(~p(C)|p(A)|p(A)|q(y(A)))&(q(A)|p(A)|p(A)|q(y(A)))&(p(A)|p(A)|p(A)|q(y(A)))&(~p(C)|~p(C)|~q(C)|p(A))&(q(A)|~p(C)|~q(C)|p(A))&(p(A)|~p(C)|~q(C)|p(A))&(~p(C)|q(y(A))|~q(C)|p(A))&(q(A)|q(y(A))|~q(C)|p(A))&(p(A)|q(y(A))|~q(C)|p(A))&(~p(C)|p(A)|~q(C)|p(A))&(q(A)|p(A)|~q(C)|p(A))&(p(A)|p(A)|~q(C)|p(A))&(~p(C)|~p(C)|q(A)|p(A))&(q(A)|~p(C)|q(A)|p(A))&(p(A)|~p(C)|q(A)|p(A))&(~p(C)|q(y(A))|q(A)|p(A))&(q(A)|q(y(A))|q(A)|p(A))&(p(A)|q(y(A))|q(A)|p(A))&(~p(C)|p(A)|q(A)|p(A))&(q(A)|p(A)|q(A)|p(A))&(p(A)|p(A)|q(A)|p(A))&(~p(C)|~p(C)|p(A)|p(A))&(q(A)|~p(C)|p(A)|p(A))&(p(A)|~p(C)|p(A)|p(A))&(~p(C)|q(y(A))|p(A)|p(A))&(q(A)|q(y(A))|p(A)|p(A))&(p(A)|q(y(A))|p(A)|p(A))&(~p(C)|p(A)|p(A)|p(A))&(q(A)|p(A)|p(A)|p(A))&(p(A)|p(A)|p(A)|p(A))&(~p(C)|~p(C)|~q(C)|~q(C))&(q(A)|~p(C)|~q(C)|~q(C))&(p(A)|~p(C)|~q(C)|~q(C))&(~p(C)|q(y(A))|~q(C)|~q(C))&(q(A)|q(y(A))|~q(C)|~q(C))&(p(A)|q(y(A))|~q(C)|~q(C))&(~p(C)|p(A)|~q(C)|~q(C))&(q(A)|p(A)|~q(C)|~q(C))&(p(A)|p(A)|~q(C)|~q(C))&(~p(C)|~p(C)|q(A)|~q(C))&(q(A)|~p(C)|q(A)|~q(C))&(p(A)|~p(C)|q(A)|~q(C))&(~p(C)|q(y(A))|q(A)|~q(C))&(q(A)|q(y(A))|q(A)|~q(C))&(p(A)|q(y(A))|q(A)|~q(C))&(~p(C)|p(A)|q(A)|~q(C))&(q(A)|p(A)|q(A)|~q(C))&(p(A)|p(A)|q(A)|~q(C))&(~p(C)|~p(C)|p(A)|~q(C))&(q(A)|~p(C)|p(A)|~q(C))&(p(A)|~p(C)|p(A)|~q(C))&(~p(C)|q(y(A))|p(A)|~q(C))&(q(A)|q(y(A))|p(A)|~q(C))&(p(A)|q(y(A))|p(A)|~q(C))&(~p(C)|p(A)|p(A)|~q(C))&(q(A)|p(A)|p(A)|~q(C))&(p(A)|p(A)|p(A)|~q(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN733+1.tptp',unknown),[]).
% 
% cnf(168570160,plain,(p(A)|~q(C)),inference(rewrite,[status(thm)],[y2141]),[]).
% 
% cnf(168589224,plain,(~q(C)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[y2141,168570160]),[]).
% 
% cnf(168599216,plain,(q(A)|q(y(A))),inference(rewrite,[status(thm)],[y2141]),[]).
% 
% cnf(189462576,plain,(q(A)),inference(resolution,[status(thm)],[168599216,168589224]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168589224,189462576]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------