%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN051+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 16:39:17 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   23 (  10   ~;  10   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    3 (   2 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel21_2,plain,
    ( ~ big_f(x)
    | p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN051+1.tptp',unknown),
    [] ).

cnf(166239432,plain,
    ( ~ big_f(x)
    | p ),
    inference(rewrite,[status(thm)],[pel21_2]),
    [] ).

fof(pel21,plain,
    ! [A] :
      ( ( big_f(A)
        | p )
      & ( ~ p
        | p )
      & ( big_f(A)
        | ~ big_f(A) )
      & ( ~ p
        | ~ big_f(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN051+1.tptp',unknown),
    [] ).

cnf(166290192,plain,
    ( big_f(A)
    | p ),
    inference(rewrite,[status(thm)],[pel21]),
    [] ).

cnf(176681592,plain,
    p,
    inference(resolution,[status(thm)],[166239432,166290192]),
    [] ).

cnf(166283800,plain,
    ( ~ p
    | ~ big_f(A) ),
    inference(rewrite,[status(thm)],[pel21]),
    [] ).

fof(pel21_1,plain,
    ( ~ p
    | big_f(x) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN051+1.tptp',unknown),
    [] ).

cnf(166233032,plain,
    ( ~ p
    | big_f(x) ),
    inference(rewrite,[status(thm)],[pel21_1]),
    [] ).

cnf(176686976,plain,
    big_f(x),
    inference(resolution,[status(thm)],[176681592,166233032]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[176681592,166283800,176686976]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel21_2,plain,(~big_f(x)|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN051+1.tptp',unknown),[]).
% 
% cnf(166239432,plain,(~big_f(x)|p),inference(rewrite,[status(thm)],[pel21_2]),[]).
% 
% fof(pel21,plain,(((big_f(A)|p)&(~p|p)&(big_f(A)|~big_f(A))&(~p|~big_f(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN051+1.tptp',unknown),[]).
% 
% cnf(166290192,plain,(big_f(A)|p),inference(rewrite,[status(thm)],[pel21]),[]).
% 
% cnf(176681592,plain,(p),inference(resolution,[status(thm)],[166239432,166290192]),[]).
% 
% cnf(166283800,plain,(~p|~big_f(A)),inference(rewrite,[status(thm)],[pel21]),[]).
% 
% fof(pel21_1,plain,(~p|big_f(x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN051+1.tptp',unknown),[]).
% 
% cnf(166233032,plain,(~p|big_f(x)),inference(rewrite,[status(thm)],[pel21_1]),[]).
% 
% cnf(176686976,plain,(big_f(x)),inference(resolution,[status(thm)],[176681592,166233032]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[176681592,166283800,176686976]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------