%------------------------------------------------------------------------------ % File : GEO006+1 : TPTP v7.2.0. 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 %------------------------------------------------------------------------------ fof(p1,axiom,( ! [X,Y] : ( distinct_lines(X,Y) => convergent_lines(X,Y) ) )). %------------------------------------------------------------------------------