I haven’t see any measurable proof of one, or any experiment proposed that would render the idea of a soul falsifiable or not. Honestly, the current debate in philosophy/neuroscience on the existence (or non-existence) of free-will seems like a more important question, that if answered in the negative would have major implications on even the definition of the word ‘soul’.
Fun question though, I’ve enjoyed reading the diversity of thought on the matter in this thread. :)