%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN052-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 16:39:22 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   7   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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   :    6 (   3 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_3,plain,
    ! [A] :
      ( big_f(A)
      | p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),
    [] ).

cnf(171433216,plain,
    ( big_f(A)
    | p ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

fof(clause_4,plain,
    ( ~ p
    | ~ big_f(a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),
    [] ).

fof(clause_1,plain,
    ! [A] :
      ( p
      | ~ big_f(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),
    [] ).

cnf(171422240,plain,
    ( p
    | ~ big_f(A) ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(171437696,plain,
    ~ big_f(a),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_4,171422240]),
    [] ).

cnf(187040144,plain,
    p,
    inference(resolution,[status(thm)],[171433216,171437696]),
    [] ).

fof(clause_2,plain,
    ! [A] :
      ( big_f(A)
      | ~ p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),
    [] ).

cnf(171428592,plain,
    ( big_f(A)
    | ~ p ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[187040144,171428592,171437696]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_3,plain,(big_f(A)|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),[]).
% 
% cnf(171433216,plain,(big_f(A)|p),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% fof(clause_4,plain,(~p|~big_f(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),[]).
% 
% fof(clause_1,plain,(p|~big_f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),[]).
% 
% cnf(171422240,plain,(p|~big_f(A)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(171437696,plain,(~big_f(a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_4,171422240]),[]).
% 
% cnf(187040144,plain,(p),inference(resolution,[status(thm)],[171433216,171437696]),[]).
% 
% fof(clause_2,plain,(big_f(A)|~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN052-1.tptp',unknown),[]).
% 
% cnf(171428592,plain,(big_f(A)|~p),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[187040144,171428592,171437696]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------