I'm not the one with issues as to how it's defined. I believe it's defined appropriately.
The definition you provided was this:
Pursue in order to catch or catch up with
You have some
examples of this definition. You have the
synonyms of the word listed. These are not
definitions. The only
definition of the word in the predicate form that you have used is "Pursue in order to catch or catch up with".
If you cannot prove, with factual evidence, that he was attempting to catch or catch up with Martin, the entire premise is flawed. I can break this down into logical notation for you, but I believe that is entirely unnecessary as someone who is objective to this should be able to plainly see how using the definition you provided is a faulty premise.