Author here! Composing such a position is much easier than mathematically proving that there isn't a better one. Perhaps there is an elegant proof. Perhaps the

Author here! Composing such a position is much easier than mathematically proving that there isn't a better one. Perhaps there is an elegant proof. Perhaps they had reasoning that proved that they couldn't do better while composing it. Probably involves plenty of case distinctions. So I decided to just let a computer reason through it, also because human minds are fallible ^^