%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN055+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 16:39:35 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   9   ~;   7   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel25_3,plain,
    ! [A] :
      ( ( big_f(A)
        | ~ big_p(A) )
      & ( big_g(A)
        | ~ big_p(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055+1.tptp',unknown),
    [] ).

cnf(155039080,plain,
    ( big_f(A)
    | ~ big_p(A) ),
    inference(rewrite,[status(thm)],[pel25_3]),
    [] ).

fof(pel25_1,plain,
    big_p(x),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055+1.tptp',unknown),
    [] ).

cnf(155012832,plain,
    big_p(x),
    inference(rewrite,[status(thm)],[pel25_1]),
    [] ).

cnf(162881280,plain,
    big_f(x),
    inference(resolution,[status(thm)],[155039080,155012832]),
    [] ).

fof(pel25_2,plain,
    ! [A] :
      ( ( big_r(A)
        | ~ big_f(A) )
      & ( ~ big_g(A)
        | ~ big_f(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055+1.tptp',unknown),
    [] ).

cnf(155019432,plain,
    ( ~ big_g(A)
    | ~ big_f(A) ),
    inference(rewrite,[status(thm)],[pel25_2]),
    [] ).

cnf(155032576,plain,
    ( big_g(A)
    | ~ big_p(A) ),
    inference(rewrite,[status(thm)],[pel25_3]),
    [] ).

cnf(162862016,plain,
    big_g(x),
    inference(resolution,[status(thm)],[155032576,155012832]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162881280,155019432,162862016]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel25_3,plain,(((big_f(A)|~big_p(A))&(big_g(A)|~big_p(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055+1.tptp',unknown),[]).
% 
% cnf(155039080,plain,(big_f(A)|~big_p(A)),inference(rewrite,[status(thm)],[pel25_3]),[]).
% 
% fof(pel25_1,plain,(big_p(x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055+1.tptp',unknown),[]).
% 
% cnf(155012832,plain,(big_p(x)),inference(rewrite,[status(thm)],[pel25_1]),[]).
% 
% cnf(162881280,plain,(big_f(x)),inference(resolution,[status(thm)],[155039080,155012832]),[]).
% 
% fof(pel25_2,plain,(((big_r(A)|~big_f(A))&(~big_g(A)|~big_f(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055+1.tptp',unknown),[]).
% 
% cnf(155019432,plain,(~big_g(A)|~big_f(A)),inference(rewrite,[status(thm)],[pel25_2]),[]).
% 
% cnf(155032576,plain,(big_g(A)|~big_p(A)),inference(rewrite,[status(thm)],[pel25_3]),[]).
% 
% cnf(162862016,plain,(big_g(x)),inference(resolution,[status(thm)],[155032576,155012832]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[162881280,155019432,162862016]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------