%--------------------------------------------------------------------------
% File     : LCL111-2 : TPTP v8.2.0. Released v1.0.0.
% Domain   : Logic Calculi (Many valued sentential)
% Problem  : MV-25 depends on the Meredith system
% Version  : [Bon91] (equality) axioms.
%            Theorem formulation : Wajsberg algebra formulation
% English  : An axiomatisation of the many valued sentential calculus
%            is {MV-1,MV-2,MV-3,MV-5} by Meredith. Wajsberg presented
%            an equality axiomatisation. Show that MV-25 depends on the
%            Wajsberg axiomatisation.

% Refs     : [FRT84] Font et al. (1984), Wajsberg Algebras
%          : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic
%          : [MW92]  McCune & Wos (1992), Experiments in Automated Deductio
%          : [LW92]  Lusk & Wos (1992), Benchmark Problems in Which Equalit
% Source   : [Bon91]
% Names    : Lemma 6 [Bon91]
%          : MV2 [LW92]

% Status   : Unsatisfiable
% Rating   : 0.14 v8.2.0, 0.17 v8.1.0, 0.25 v7.5.0, 0.21 v7.4.0, 0.26 v7.1.0, 0.17 v7.0.0, 0.16 v6.4.0, 0.21 v6.3.0, 0.24 v6.2.0, 0.21 v6.1.0, 0.25 v6.0.0, 0.38 v5.5.0, 0.37 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.21 v5.1.0, 0.20 v5.0.0, 0.14 v4.1.0, 0.00 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.12 v3.3.0, 0.07 v3.1.0, 0.22 v2.7.0, 0.00 v2.4.0, 0.33 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.50 v2.0.0
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   1 RR)
%            Number of literals    :    5 (   5 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)
% SPC      : CNF_UNS_RFO_PEQ_UEQ

% Comments :
%--------------------------------------------------------------------------
%----Include Wajsberg algebra axioms
include('Axioms/LCL001-0.ax').
%--------------------------------------------------------------------------
cnf(prove_mv_25,negated_conjecture,
    implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth ).

%--------------------------------------------------------------------------