%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : FLD039-1 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:49:33 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(symmetry_of_equality,plain,
    ! [A,B] :
      ( equalish(A,B)
      | ~ equalish(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/FLD/FLD039-1.tptp',unknown),
    [] ).

cnf(173289848,plain,
    ( equalish(A,B)
    | ~ equalish(B,A) ),
    inference(rewrite,[status(thm)],[symmetry_of_equality]),
    [] ).

fof(multiplicative_identity_equals_additive_identity_3,plain,
    equalish(multiplicative_identity,additive_identity),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/FLD/FLD039-1.tptp',unknown),
    [] ).

cnf(173339640,plain,
    equalish(multiplicative_identity,additive_identity),
    inference(rewrite,[status(thm)],[multiplicative_identity_equals_additive_identity_3]),
    [] ).

cnf(186476168,plain,
    equalish(additive_identity,multiplicative_identity),
    inference(resolution,[status(thm)],[173289848,173339640]),
    [] ).

fof(different_identities,plain,
    ~ equalish(additive_identity,multiplicative_identity),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/FLD/FLD039-1.tptp',unknown),
    [] ).

cnf(173323768,plain,
    ~ equalish(additive_identity,multiplicative_identity),
    inference(rewrite,[status(thm)],[different_identities]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[186476168,173323768]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(symmetry_of_equality,plain,(equalish(A,B)|~equalish(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/FLD/FLD039-1.tptp',unknown),[]).
% 
% cnf(173289848,plain,(equalish(A,B)|~equalish(B,A)),inference(rewrite,[status(thm)],[symmetry_of_equality]),[]).
% 
% fof(multiplicative_identity_equals_additive_identity_3,plain,(equalish(multiplicative_identity,additive_identity)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/FLD/FLD039-1.tptp',unknown),[]).
% 
% cnf(173339640,plain,(equalish(multiplicative_identity,additive_identity)),inference(rewrite,[status(thm)],[multiplicative_identity_equals_additive_identity_3]),[]).
% 
% cnf(186476168,plain,(equalish(additive_identity,multiplicative_identity)),inference(resolution,[status(thm)],[173289848,173339640]),[]).
% 
% fof(different_identities,plain,(~equalish(additive_identity,multiplicative_identity)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/FLD/FLD039-1.tptp',unknown),[]).
% 
% cnf(173323768,plain,(~equalish(additive_identity,multiplicative_identity)),inference(rewrite,[status(thm)],[different_identities]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[186476168,173323768]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------