%--------------------------------------------------------------------------
% File     : GRP127-3.003 : TPTP v8.2.0. Bugfixed v2.1.0.
% Domain   : Group Theory (Quasigroups)
% Problem  : ((b.a).b).b) = a
% Version  : [Sla93] axioms : Augmented.
% English  : Generate the multiplication table for the specified quasi-
%            group with 3 elements.

% Refs     : [Ben89] Bennett (1989), Quasigroup Identities and Mendelsohn D
%          : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
%          : [Sla93] Slaney (1993), Email to G. Sutcliffe
%          : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% Source   : [TPTP]
% Names    :

% Status   : Unsatisfiable
% Rating   : 0.00 v2.0.0
% Syntax   :

% Comments : [Sla93]'s axiomatization has been modified for this.
%          : Substitution axioms are not needed, as any positive equality
%            literals should resolve on negative ones directly.
%          : This problem is extensively investigated in [Ben89].
%          : Version 3 has complex isomorphism avoidance (mentioned in
%            [SFS95]
%          : tptp2X: -ftptp -s3 GRP127-3.g
% Bugfixes : v2.1.0 - Replaced by a new SOTA size.
%--------------------------------------------------------------------------