%-------------------------------------------------------------------------- % File : LCL004-2 : TPTP v7.2.0. Released v2.3.0. % Domain : Logic Calculi (Propositional) % Axioms : Propositional logic deduction axioms for EQUIVALENT % Version : [WR27] axioms. % English : % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica % Source : [WR27] % 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 : 3 ( 0 constant; 2-2 arity) % Number of variables : 2 ( 0 singleton) % Maximal term depth : 3 ( 2 average) % SPC : % Comments : Requires LCL004-0.ax LCL004-1.ax %-------------------------------------------------------------------------- cnf(equivalent_defn,axiom, ( equivalent(P,Q) = and(implies(P,Q),implies(Q,P)) )). %--------------------------------------------------------------------------