Don't smoosh the basket.

Some men were turning up with their faces covered with bronzers that made them look jaundiced, mottled terra cotta, or muddy brown.

However, the probability of such a misproof goes to zero exponentially with the number of questions asked and hence the probability of giving an interactive “proof” for a false statement can be easily made arbitrarily small.

What need you trouble with vain inquirings / The surly gods or your own ignorant spirit?