TPTP Axioms File: GEO006+1.ax


%------------------------------------------------------------------------------
% File     : GEO006+1 : TPTP v7.5.0. Released v3.3.0.
% Domain   : Geometry (Constructive)
% Axioms   : Projective geometry
% Version  : [vPl95] axioms.
% English  :

% Refs     : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% Source   : [ILTP]
% Names    :

% Status   : Satisfiable
% Syntax   : Number of formulae    :    1 (   0 unit)
%            Number of atoms       :    2 (   0 equality)
%            Maximal formula depth :    4 (   4 average)
%            Number of connectives :    1 (   0 ~  ;   0  |;   0  &)
%                                         (   0 <=>;   1 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :    2 (   0 propositional; 2-2 arity)
%            Number of functors    :    0 (   0 constant; --- arity)
%            Number of variables   :    2 (   0 singleton;   2 !;   0 ?)
%            Maximal term depth    :    1 (   1 average)
% SPC      : 

% Comments : Requires GEO006+0
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fof(p1,axiom,(
    ! [X,Y] :
      ( distinct_lines(X,Y)
     => convergent_lines(X,Y) ) )).

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