%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN354-1 : 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 17:51:08 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 (   4 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   31 (  14   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   1 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause1,plain,
    f(a,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),
    [] ).

cnf(159660400,plain,
    f(a,b),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

fof(clause7,plain,
    ! [A,B] :
      ( ~ f(a,A)
      | ~ f(b,A)
      | ~ f(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),
    [] ).

cnf(159718808,plain,
    ( ~ f(a,A)
    | ~ f(b,A)
    | ~ f(A,B) ),
    inference(rewrite,[status(thm)],[clause7]),
    [] ).

fof(clause3,plain,
    ! [A,B] :
      ( g(b,z(A,B))
      | g(B,z(A,B))
      | ~ f(A,B)
      | f(b,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),
    [] ).

cnf(159683248,plain,
    ( g(b,z(A,B))
    | g(B,z(A,B))
    | ~ f(A,B)
    | f(b,B) ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

cnf(183247640,plain,
    ( g(b,z(a,b))
    | f(b,b) ),
    inference(resolution,[status(thm)],[159683248,159660400]),
    [] ).

fof(clause4,plain,
    ! [A,B] :
      ( ~ g(b,z(A,B))
      | ~ g(B,z(A,B))
      | ~ f(A,B)
      | f(b,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),
    [] ).

cnf(159697536,plain,
    ( ~ g(b,z(A,B))
    | ~ g(B,z(A,B))
    | ~ f(A,B)
    | f(b,B) ),
    inference(rewrite,[status(thm)],[clause4]),
    [] ).

cnf(183252360,plain,
    f(b,b),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[183247640,159697536,159660400]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159660400,159718808,183252360]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause1,plain,(f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),[]).
% 
% cnf(159660400,plain,(f(a,b)),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% fof(clause7,plain,(~f(a,A)|~f(b,A)|~f(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),[]).
% 
% cnf(159718808,plain,(~f(a,A)|~f(b,A)|~f(A,B)),inference(rewrite,[status(thm)],[clause7]),[]).
% 
% fof(clause3,plain,(g(b,z(A,B))|g(B,z(A,B))|~f(A,B)|f(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),[]).
% 
% cnf(159683248,plain,(g(b,z(A,B))|g(B,z(A,B))|~f(A,B)|f(b,B)),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% cnf(183247640,plain,(g(b,z(a,b))|f(b,b)),inference(resolution,[status(thm)],[159683248,159660400]),[]).
% 
% fof(clause4,plain,(~g(b,z(A,B))|~g(B,z(A,B))|~f(A,B)|f(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN354-1.tptp',unknown),[]).
% 
% cnf(159697536,plain,(~g(b,z(A,B))|~g(B,z(A,B))|~f(A,B)|f(b,B)),inference(rewrite,[status(thm)],[clause4]),[]).
% 
% cnf(183252360,plain,(f(b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[183247640,159697536,159660400]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[159660400,159718808,183252360]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------