Is it possible for an acid and base to react to form an even stronger base or acid?
$\ce{6HF + Al(OH)3 (s) -&gt; H3[AlF6] + 3H2O}$
$\ce{6HCN + Fe(OH)2 (s) -&gt; H4[Fe(CN)6] + 2 H2O}$
$\ce{TlOH + HOCl + H2O -&gt; Tl(OH)3(s) + HCl}$


May be one of these will work. Even if they don't, you should get the idea where to search.