%------------------------------------------------------------------------------ % File : LCL007+6 : TPTP v7.2.0. Released v3.3.0. % Domain : Logic Calculi (Propositional modal) % Axioms : M10 axiomatization of S5 based on S1-0 % Version : [Zem73] axioms. % English : % Refs : [Zem73] Zeman (1973), Modal Logic, the Lewis-Modal systems % : [Hal] Halleck (URL), John Halleck's Logic Systems % : [She06] Shen (2006), Automated Proofs of Equivalence of Modal % Source : [Hal] % Names : % Status : Satisfiable % Syntax : Number of formulae : 1 ( 1 unit) % Number of atoms : 1 ( 0 equality) % Maximal formula depth : 1 ( 1 average) % Number of connectives : 0 ( 0 ~ ; 0 |; 0 &) % ( 0 <=>; 0 =>; 0 <=) % ( 0 <~>; 0 ~|; 0 ~&) % Number of predicates : 1 ( 1 propositional; 0-0 arity) % Number of functors : 0 ( 0 constant; --- arity) % Number of variables : 0 ( 0 singleton; 0 !; 0 ?) % Maximal term depth : 0 ( 0 average) % SPC : % Comments : Requires LCL006+1, LCL007+0, LCL007+1, LCL007+4.ax %------------------------------------------------------------------------------ %----Modal axioms fof(s1_0_m10_axiom_m10,axiom,axiom_m10). %------------------------------------------------------------------------------