%-------------------------------------------------------------------------- % File : GEO002-3 : TPTP v7.2.0. 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 %-------------------------------------------------------------------------- cnf(insertion,axiom, ( insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V) )). %--------------------------------------------------------------------------