%--------------------------------------------------------------------------
% File     : GRP008-1 : TPTP v8.2.0. Released v1.0.0.
% Domain   : Group Theory
% Problem  : Unknown meaning
% Version  : [MOW76] axioms.
% English  :

% Refs     : [Wos65] Wos (1965), Unpublished Note
%          : [MOW76] McCharen et al. (1976), Problems and Experiments for a
%          : [WM76]  Wilson & Minker (1976), Resolution, Refinements, and S
% Source   : [SPRFN]
% Names    : Problem 4 [Wos65]
%          : wos4 [WM76]

% Status   : Unsatisfiable
% Rating   : 0.05 v8.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.09 v3.7.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.10 v2.5.0, 0.25 v2.4.0, 0.11 v2.3.0, 0.22 v2.2.1, 0.11 v2.2.0, 0.11 v2.1.0, 0.11 v2.0.0
% Syntax   : Number of clauses     :   12 (   6 unt;   1 nHn;   6 RR)
%            Number of literals    :   26 (   1 equ;  13 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   0 prp; 1-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)
% SPC      : CNF_UNS_RFO_SEQ_NHN

% Comments :
%--------------------------------------------------------------------------
%----Include group theory axioms
include('Axioms/GRP003-0.ax').
%--------------------------------------------------------------------------
cnf(unknown_meaning2,axiom,
    ( ~ q(A)
    | ~ product(A,B,C)
    | product(B,A,C) ) ).

cnf(unknown_meaning3,axiom,
    ( product(j(A),A,h(A))
    | product(A,j(A),h(A))
    | q(A) ) ).

cnf(unknown_meaning4,axiom,
    ( ~ product(j(A),A,h(A))
    | ~ product(A,j(A),h(A))
    | q(A) ) ).

cnf(prove_identity_is_q,negated_conjecture,
    ~ q(identity) ).

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