In a previous daily problem, we looked at the following related statements and asked how many are true and whether it's even possible to reconcile them:

A. All the statements below this one are false.

B. All the statements below this one are false.

C. All the statements below this one are false.

D. None of the statements above this one are true.

E. None of the statements above this one are true.

F. None of the statements above this one are true.

In this case, the statements *can* be reconciled, but there's a surprising quality to this set of claims: exactly one of them must be true, but there's no way to determine which one.