%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN327-1 : 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 17:49:30 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       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   9   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 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(clause1,plain,
    ! [A] :
      ( f(A,a)
      | f(a,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),
    [] ).

cnf(140851424,plain,
    ( f(A,a)
    | f(a,A) ),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

fof(clause5,plain,
    ! [A] :
      ( ~ f(a,A)
      | ~ f(a,z(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),
    [] ).

cnf(140874456,plain,
    ( ~ f(a,A)
    | ~ f(a,z(A)) ),
    inference(rewrite,[status(thm)],[clause5]),
    [] ).

cnf(161747120,plain,
    ~ f(a,z(a)),
    inference(resolution,[status(thm)],[140874456,140851424]),
    [] ).

fof(clause4,plain,
    ! [A] :
      ( f(a,z(A))
      | ~ f(A,a)
      | ~ f(z(A),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),
    [] ).

cnf(140868088,plain,
    ( f(a,z(A))
    | ~ f(A,a)
    | ~ f(z(A),A) ),
    inference(rewrite,[status(thm)],[clause4]),
    [] ).

fof(clause3,plain,
    ! [A] :
      ( f(a,z(A))
      | f(a,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),
    [] ).

cnf(140861784,plain,
    ( f(a,z(A))
    | f(a,A) ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

cnf(161822680,plain,
    f(a,a),
    inference(resolution,[status(thm)],[161747120,140861784]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[140851424,161747120,140868088,161822680]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause1,plain,(f(A,a)|f(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),[]).
% 
% cnf(140851424,plain,(f(A,a)|f(a,A)),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% fof(clause5,plain,(~f(a,A)|~f(a,z(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),[]).
% 
% cnf(140874456,plain,(~f(a,A)|~f(a,z(A))),inference(rewrite,[status(thm)],[clause5]),[]).
% 
% cnf(161747120,plain,(~f(a,z(a))),inference(resolution,[status(thm)],[140874456,140851424]),[]).
% 
% fof(clause4,plain,(f(a,z(A))|~f(A,a)|~f(z(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),[]).
% 
% cnf(140868088,plain,(f(a,z(A))|~f(A,a)|~f(z(A),A)),inference(rewrite,[status(thm)],[clause4]),[]).
% 
% fof(clause3,plain,(f(a,z(A))|f(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327-1.tptp',unknown),[]).
% 
% cnf(140861784,plain,(f(a,z(A))|f(a,A)),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% cnf(161822680,plain,(f(a,a)),inference(resolution,[status(thm)],[161747120,140861784]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[140851424,161747120,140868088,161822680]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------