%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN068-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:40:46 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_4,plain,
    ! [A] :
      ( ~ big_f(A)
      | ~ big_h(A,g(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),
    [] ).

cnf(170830888,plain,
    ( ~ big_f(A)
    | ~ big_h(A,g(A)) ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_7,plain,
    ! [A] :
      ( ~ big_j(A)
      | big_f(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),
    [] ).

cnf(170852520,plain,
    ( ~ big_j(A)
    | big_f(A) ),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

fof(clause_5,plain,
    big_j(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),
    [] ).

cnf(170835440,plain,
    big_j(a),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

cnf(178641848,plain,
    big_f(a),
    inference(resolution,[status(thm)],[170852520,170835440]),
    [] ).

cnf(178691360,plain,
    ~ big_h(a,g(a)),
    inference(resolution,[status(thm)],[170830888,178641848]),
    [] ).

fof(clause_6,plain,
    ! [A] :
      ( ~ big_g(A)
      | big_h(a,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),
    [] ).

cnf(170846048,plain,
    ( ~ big_g(A)
    | big_h(a,A) ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

fof(clause_3,plain,
    ! [A] :
      ( ~ big_f(A)
      | big_g(g(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),
    [] ).

cnf(170826320,plain,
    ( ~ big_f(A)
    | big_g(g(A)) ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(178666720,plain,
    big_g(g(a)),
    inference(resolution,[status(thm)],[170826320,178641848]),
    [] ).

cnf(178696872,plain,
    big_h(a,g(a)),
    inference(resolution,[status(thm)],[170846048,178666720]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[178691360,178696872]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_4,plain,(~big_f(A)|~big_h(A,g(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),[]).
% 
% cnf(170830888,plain,(~big_f(A)|~big_h(A,g(A))),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_7,plain,(~big_j(A)|big_f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),[]).
% 
% cnf(170852520,plain,(~big_j(A)|big_f(A)),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% fof(clause_5,plain,(big_j(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),[]).
% 
% cnf(170835440,plain,(big_j(a)),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% cnf(178641848,plain,(big_f(a)),inference(resolution,[status(thm)],[170852520,170835440]),[]).
% 
% cnf(178691360,plain,(~big_h(a,g(a))),inference(resolution,[status(thm)],[170830888,178641848]),[]).
% 
% fof(clause_6,plain,(~big_g(A)|big_h(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),[]).
% 
% cnf(170846048,plain,(~big_g(A)|big_h(a,A)),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% fof(clause_3,plain,(~big_f(A)|big_g(g(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN068-1.tptp',unknown),[]).
% 
% cnf(170826320,plain,(~big_f(A)|big_g(g(A))),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(178666720,plain,(big_g(g(a))),inference(resolution,[status(thm)],[170826320,178641848]),[]).
% 
% cnf(178696872,plain,(big_h(a,g(a))),inference(resolution,[status(thm)],[170846048,178666720]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178691360,178696872]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------