%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO014-2 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:52:20 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       :   12 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(transitivity_for_equidistance,plain,
    ! [A,B,C,D,E,F] :
      ( ~ equidistant(A,B,C,D)
      | ~ equidistant(A,B,E,F)
      | equidistant(C,D,E,F) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO014-2.tptp',unknown),
    [] ).

cnf(166206256,plain,
    ( ~ equidistant(A,B,C,D)
    | ~ equidistant(A,B,E,F)
    | equidistant(C,D,E,F) ),
    inference(rewrite,[status(thm)],[transitivity_for_equidistance]),
    [] ).

fof(reflexivity_for_equidistance,plain,
    ! [A,B] : equidistant(A,B,B,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO014-2.tptp',unknown),
    [] ).

cnf(166197600,plain,
    equidistant(A,B,B,A),
    inference(rewrite,[status(thm)],[reflexivity_for_equidistance]),
    [] ).

cnf(174236120,plain,
    equidistant(B,A,B,A),
    inference(resolution,[status(thm)],[166206256,166197600]),
    [] ).

fof(prove_reflexivity,plain,
    ~ equidistant(u,v,u,v),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO014-2.tptp',unknown),
    [] ).

cnf(166427664,plain,
    ~ equidistant(u,v,u,v),
    inference(rewrite,[status(thm)],[prove_reflexivity]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[174236120,166427664]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(transitivity_for_equidistance,plain,(~equidistant(A,B,C,D)|~equidistant(A,B,E,F)|equidistant(C,D,E,F)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO014-2.tptp',unknown),[]).
% 
% cnf(166206256,plain,(~equidistant(A,B,C,D)|~equidistant(A,B,E,F)|equidistant(C,D,E,F)),inference(rewrite,[status(thm)],[transitivity_for_equidistance]),[]).
% 
% fof(reflexivity_for_equidistance,plain,(equidistant(A,B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO014-2.tptp',unknown),[]).
% 
% cnf(166197600,plain,(equidistant(A,B,B,A)),inference(rewrite,[status(thm)],[reflexivity_for_equidistance]),[]).
% 
% cnf(174236120,plain,(equidistant(B,A,B,A)),inference(resolution,[status(thm)],[166206256,166197600]),[]).
% 
% fof(prove_reflexivity,plain,(~equidistant(u,v,u,v)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO014-2.tptp',unknown),[]).
% 
% cnf(166427664,plain,(~equidistant(u,v,u,v)),inference(rewrite,[status(thm)],[prove_reflexivity]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174236120,166427664]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------