%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN319-1 : TPTP v3.4.2. Released v1.2.0.
% 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 17:48:59 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    :   12 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   17 (   9 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause6,plain,
    ! [A] :
      ( ~ g(A)
      | h(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),
    [] ).

cnf(162090120,plain,
    ( ~ g(A)
    | h(A) ),
    inference(rewrite,[status(thm)],[clause6]),
    [] ).

fof(clause7,plain,
    ! [A,B] : ~ h(z2(A,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),
    [] ).

cnf(162094792,plain,
    ~ h(z2(A,B)),
    inference(rewrite,[status(thm)],[clause7]),
    [] ).

cnf(185619896,plain,
    ~ g(z2(A,B)),
    inference(resolution,[status(thm)],[162090120,162094792]),
    [] ).

fof(clause1,plain,
    ! [A,B] :
      ( f(A)
      | g(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),
    [] ).

cnf(162057896,plain,
    ( f(A)
    | g(B) ),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

fof(clause5,plain,
    ! [A] :
      ( ~ f(A)
      | h(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),
    [] ).

cnf(162080440,plain,
    ( ~ f(A)
    | h(A) ),
    inference(rewrite,[status(thm)],[clause5]),
    [] ).

cnf(185607896,plain,
    ~ f(z2(A,B)),
    inference(resolution,[status(thm)],[162080440,162094792]),
    [] ).

cnf(185625408,plain,
    g(A),
    inference(resolution,[status(thm)],[162057896,185607896]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[185619896,185625408]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause6,plain,(~g(A)|h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),[]).
% 
% cnf(162090120,plain,(~g(A)|h(A)),inference(rewrite,[status(thm)],[clause6]),[]).
% 
% fof(clause7,plain,(~h(z2(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),[]).
% 
% cnf(162094792,plain,(~h(z2(A,B))),inference(rewrite,[status(thm)],[clause7]),[]).
% 
% cnf(185619896,plain,(~g(z2(A,B))),inference(resolution,[status(thm)],[162090120,162094792]),[]).
% 
% fof(clause1,plain,(f(A)|g(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),[]).
% 
% cnf(162057896,plain,(f(A)|g(B)),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% fof(clause5,plain,(~f(A)|h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN319-1.tptp',unknown),[]).
% 
% cnf(162080440,plain,(~f(A)|h(A)),inference(rewrite,[status(thm)],[clause5]),[]).
% 
% cnf(185607896,plain,(~f(z2(A,B))),inference(resolution,[status(thm)],[162080440,162094792]),[]).
% 
% cnf(185625408,plain,(g(A)),inference(resolution,[status(thm)],[162057896,185607896]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[185619896,185625408]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------