%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN063-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 16:40:11 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    8 (   3   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   2 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_2,plain,
    ! [A,B] :
      ( ~ big_p(a)
      | big_p(A)
      | big_p(c)
      | big_p(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-1.tptp',unknown),
    [] ).

fof(clause_1,plain,
    big_p(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-1.tptp',unknown),
    [] ).

cnf(149378184,plain,
    big_p(a),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(149385544,plain,
    ( big_p(A)
    | big_p(c)
    | big_p(B) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_2,149378184]),
    [] ).

fof(clause_4,plain,
    ~ big_p(c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-1.tptp',unknown),
    [] ).

cnf(149390328,plain,
    ~ big_p(c),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[149385544,149390328]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_2,plain,(~big_p(a)|big_p(A)|big_p(c)|big_p(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-1.tptp',unknown),[]).
% 
% fof(clause_1,plain,(big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-1.tptp',unknown),[]).
% 
% cnf(149378184,plain,(big_p(a)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(149385544,plain,(big_p(A)|big_p(c)|big_p(B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_2,149378184]),[]).
% 
% fof(clause_4,plain,(~big_p(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-1.tptp',unknown),[]).
% 
% cnf(149390328,plain,(~big_p(c)),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[149385544,149390328]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------