The difference between splitting in n and n + 1

It is established that durational and structural aspects of actions can in general not be modeled in interleaving semantics, even when a time-consuming action is represented by a pair of instantaneous events denoting its start and finish. By means of a series of counterexamples it is shown that, for any $n$, it makes a difference whether actions are split in $n$ or in $n+1$ parts.