%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN049+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 16:39:09 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :   27 (  10   ~;   9   |;   8   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :    4 (   3 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel19,plain,
    ! [A] :
      ( ( big_p(A)
        | ~ big_p(y(A)) )
      & ( ~ big_q(A)
        | ~ big_p(y(A)) )
      & ( big_q(z(A))
        | ~ big_p(y(A)) )
      & ( big_p(A)
        | big_p(A) )
      & ( ~ big_q(A)
        | big_p(A) )
      & ( big_q(z(A))
        | big_p(A) )
      & ( big_p(A)
        | ~ big_q(A) )
      & ( ~ big_q(A)
        | ~ big_q(A) )
      & ( big_q(z(A))
        | ~ big_q(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN049+1.tptp',unknown),
    [] ).

cnf(155585368,plain,
    ~ big_q(A),
    inference(rewrite,[status(thm)],[pel19]),
    [] ).

cnf(155594624,plain,
    big_p(A),
    inference(rewrite,[status(thm)],[pel19]),
    [] ).

cnf(155598328,plain,
    big_q(z(A)),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel19,155594624]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[155585368,155598328]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel19,plain,(((big_p(A)|~big_p(y(A)))&(~big_q(A)|~big_p(y(A)))&(big_q(z(A))|~big_p(y(A)))&(big_p(A)|big_p(A))&(~big_q(A)|big_p(A))&(big_q(z(A))|big_p(A))&(big_p(A)|~big_q(A))&(~big_q(A)|~big_q(A))&(big_q(z(A))|~big_q(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN049+1.tptp',unknown),[]).
% 
% cnf(155585368,plain,(~big_q(A)),inference(rewrite,[status(thm)],[pel19]),[]).
% 
% cnf(155594624,plain,(big_p(A)),inference(rewrite,[status(thm)],[pel19]),[]).
% 
% cnf(155598328,plain,(big_q(z(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel19,155594624]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[155585368,155598328]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------