Actually, my premise is based on a universal predicate, which should be falsifiable (it can be true if she did indeed try everything). And his statement is not a tautology in logic, though perhaps in rhetoric it may well be.
Just a book in discrete mathematics :-) sorry, the comment I responded to was quite pedantic, but unfortunately wrong which I find to be the worst form of pedantry.
I really shouldn't engage in these sort of back and forths, but sometimes I just can't resist...