%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN350-1 : TPTP v3.4.2. Released v1.2.0.
% 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 17:50:53 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    :   11 (   3 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   24 (  10   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause5,plain,
    ! [A,B] :
      ( f(a,z(A,B))
      | f(B,z(A,B))
      | ~ f(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),
    [] ).

cnf(149062976,plain,
    ( f(a,z(A,B))
    | f(B,z(A,B))
    | ~ f(A,B) ),
    inference(rewrite,[status(thm)],[clause5]),
    [] ).

fof(clause1,plain,
    ! [A,B] :
      ( ~ f(a,z(A,B))
      | f(z(A,B),a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),
    [] ).

cnf(149025816,plain,
    ( ~ f(a,z(A,B))
    | f(z(A,B),a) ),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

fof(clause3,plain,
    ! [A,B] :
      ( f(a,z(A,B))
      | f(B,z(A,B))
      | f(A,z(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),
    [] ).

cnf(149047512,plain,
    ( f(a,z(A,B))
    | f(B,z(A,B))
    | f(A,z(A,B)) ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

cnf(169954680,plain,
    f(z(a,a),a),
    inference(resolution,[status(thm)],[149025816,149047512]),
    [] ).

cnf(169998232,plain,
    f(a,z(z(a,a),a)),
    inference(resolution,[status(thm)],[149062976,169954680]),
    [] ).

fof(clause6,plain,
    ! [A,B] :
      ( ~ f(a,z(A,B))
      | ~ f(B,z(A,B))
      | ~ f(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),
    [] ).

cnf(149071848,plain,
    ( ~ f(a,z(A,B))
    | ~ f(B,z(A,B))
    | ~ f(A,B) ),
    inference(rewrite,[status(thm)],[clause6]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[169998232,149071848,169954680]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause5,plain,(f(a,z(A,B))|f(B,z(A,B))|~f(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),[]).
% 
% cnf(149062976,plain,(f(a,z(A,B))|f(B,z(A,B))|~f(A,B)),inference(rewrite,[status(thm)],[clause5]),[]).
% 
% fof(clause1,plain,(~f(a,z(A,B))|f(z(A,B),a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),[]).
% 
% cnf(149025816,plain,(~f(a,z(A,B))|f(z(A,B),a)),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% fof(clause3,plain,(f(a,z(A,B))|f(B,z(A,B))|f(A,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),[]).
% 
% cnf(149047512,plain,(f(a,z(A,B))|f(B,z(A,B))|f(A,z(A,B))),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% cnf(169954680,plain,(f(z(a,a),a)),inference(resolution,[status(thm)],[149025816,149047512]),[]).
% 
% cnf(169998232,plain,(f(a,z(z(a,a),a))),inference(resolution,[status(thm)],[149062976,169954680]),[]).
% 
% fof(clause6,plain,(~f(a,z(A,B))|~f(B,z(A,B))|~f(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN350-1.tptp',unknown),[]).
% 
% cnf(149071848,plain,(~f(a,z(A,B))|~f(B,z(A,B))|~f(A,B)),inference(rewrite,[status(thm)],[clause6]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169998232,149071848,169954680]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------