TPTP Axioms File: GEO002-3.ax


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% File     : GEO002-3 : TPTP v7.5.0. Released v1.0.0.
% Domain   : Geometry (Tarskian)
% Axioms   : Insertion axioms for the GEO002 geometry axioms
% Version  : [Qua89] axioms.
% English  :

% Refs     : [Tar59] Tarski (1959), What is Elementary Geometry?
%          : [MOW76] McCharen et al. (1976), Problems and Experiments for a
%          : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% Source   : [ANL]
% Names    :

% Status   : Satisfiable
% Syntax   : Number of clauses    :    1 (   0 non-Horn;   1 unit;   0 RR)
%            Number of atoms      :    1 (   1 equality)
%            Maximal clause size  :    1 (   1 average)
%            Number of predicates :    1 (   0 propositional; 2-2 arity)
%            Number of functors   :    4 (   2 constant; 0-4 arity)
%            Number of variables  :    4 (   0 singleton)
%            Maximal term depth   :    3 (   2 average)
% SPC      : 

% Comments : Requires GEO002-0.ax
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cnf(insertion,axiom,
    ( insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V) )).

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