%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN331-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 17:49:43 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   4   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   16 (   3 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause3,plain,
    ! [A,B] :
      ( f(A,B)
      | ~ f(z(A,B),z(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN331-1.tptp',unknown),
    [] ).

cnf(155543264,plain,
    ( f(A,B)
    | ~ f(z(A,B),z(A,B)) ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

fof(clause5,plain,
    ! [A,B] :
      ( f(A,B)
      | f(z(B,A),z(B,A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN331-1.tptp',unknown),
    [] ).

cnf(155554224,plain,
    ( f(A,B)
    | f(z(B,A),z(B,A)) ),
    inference(rewrite,[status(thm)],[clause5]),
    [] ).

cnf(179063840,plain,
    ( f(A,B)
    | f(z(z(A,B),z(A,B)),z(z(A,B),z(A,B))) ),
    inference(resolution,[status(thm)],[155543264,155554224]),
    [] ).

cnf(179075968,plain,
    f(A,B),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[179063840,155543264,155543264]),
    [] ).

fof(clause6,plain,
    ! [A,B] : ~ f(z(A,B),A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN331-1.tptp',unknown),
    [] ).

cnf(155557880,plain,
    ~ f(z(A,B),A),
    inference(rewrite,[status(thm)],[clause6]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[179075968,155557880]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause3,plain,(f(A,B)|~f(z(A,B),z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN331-1.tptp',unknown),[]).
% 
% cnf(155543264,plain,(f(A,B)|~f(z(A,B),z(A,B))),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% fof(clause5,plain,(f(A,B)|f(z(B,A),z(B,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN331-1.tptp',unknown),[]).
% 
% cnf(155554224,plain,(f(A,B)|f(z(B,A),z(B,A))),inference(rewrite,[status(thm)],[clause5]),[]).
% 
% cnf(179063840,plain,(f(A,B)|f(z(z(A,B),z(A,B)),z(z(A,B),z(A,B)))),inference(resolution,[status(thm)],[155543264,155554224]),[]).
% 
% cnf(179075968,plain,(f(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179063840,155543264,155543264]),[]).
% 
% fof(clause6,plain,(~f(z(A,B),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN331-1.tptp',unknown),[]).
% 
% cnf(155557880,plain,(~f(z(A,B),A)),inference(rewrite,[status(thm)],[clause6]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[179075968,155557880]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------