TPTP Problem File: LCL907+1.p
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% File : LCL907+1 : TPTP v9.0.0. Released v6.4.0.
% Domain : Logical Calculi (Propositional modal)
% Problem : Hilbert's axiomatization of propositional logic
% Version : [HB34] axioms.
% English :
% Refs : [HB34] Hilbert & Bernays (1934), Grundlagen der Mathematick
% : [Hac66] Hackstaff (1966), Systems of Formal Logic
% : [Hal] Halleck (URL), John Halleck's Logic Systems
% : [She06] Shen (2006), Automated Proofs of Equivalence of Modal
% Source : [TPTP]
% Names :
% Status : Satisfiable
% Rating : 0.17 v9.0.0, 0.20 v8.2.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.00 v6.4.0
% Syntax : Number of formulae : 49 ( 18 unt; 0 def)
% Number of atoms : 83 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 0 ~; 0 |; 1 &)
% ( 26 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 33 ( 32 usr; 31 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% SPC : FOF_SAT_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
%----Propositional logic rules and axioms
include('Axioms/LCL006+0.ax').
%----Propositional logic definitions
include('Axioms/LCL006+1.ax').
%----Hilbert's axiomatization of propositional logic
include('Axioms/LCL006+2.ax').
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