fined inductively.</li>
<li>Even the family for the induction is complicated, as much as <code>m</code>.</li>
</ul>
<h2>Speeding up by witnesses</h2>
<ul>
<li>Associativity is propositional, as it is an iterated function ending in a proposition.</li>
<li>Hence it is enough to have a witness.</li>
<li>While parsing, can save precise terms but just return witnesses for propositions.</li>
</ul>
<h2>Update</h2>
<ul>
<li>Witnesses did not solve the problem.</li>
<li>As data, here are the raw terms.</li>
</ul>
<p