TPTP Problem File: LCL578+1.p
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%------------------------------------------------------------------------------
% File : LCL578+1 : TPTP v9.0.0. Released v3.3.0.
% Domain : Logic Calculi (Propositional modal)
% Problem : Prove axiom m9 from the S1-0M10 axiomatization of S5
% Version : [Zem73] axioms.
% English :
% Refs : [Zem73] Zeman (1973), Modal Logic, the Lewis-Modal systems
% : [Hal] Halleck (URL), John Halleck's Logic Systems
% Source : [TPTP]
% Names :
% Status : CounterSatisfiable
% Rating : 0.00 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.00 v7.3.0, 0.33 v6.3.0, 0.67 v6.2.0, 0.64 v6.1.0, 0.55 v6.0.0, 0.69 v5.5.0, 0.50 v5.4.0, 0.71 v5.3.0, 0.86 v5.2.0, 0.83 v5.0.0, 0.86 v4.1.0, 1.00 v3.3.0
% Syntax : Number of formulae : 48 ( 16 unt; 0 def)
% Number of atoms : 86 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 0 ~; 0 |; 2 &)
% ( 23 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 35 ( 34 usr; 33 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 0 con; 1-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% SPC : FOF_CSA_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
%----Include axioms of propositional logic
include('Axioms/LCL006+1.ax').
%----Include axioms of modal logic
include('Axioms/LCL007+0.ax').
include('Axioms/LCL007+1.ax').
%----Include axioms for S1-0
include('Axioms/LCL007+4.ax').
%----Include axioms for M10
include('Axioms/LCL007+6.ax').
%------------------------------------------------------------------------------
fof(s1_0_m6s3m9b_axiom_m9,conjecture,
axiom_m9 ).
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