% The formula below is a theorem of the equivalential calculus.
% We can show that it is not a single axiom, because e(x,x) does not
% follow.

assign(domain_size, 4).

% set(verbose).

formulas(theory).

  -P(e(x,y)) | -P(x) | P(y) # label(condensed_detachment).
  P(e(e(x,y),e(e(y,z),e(z,x)))).

end_of_list.

formulas(goals).

  P(e(x,x)) | label(reflexivity).

end_of_list.