@TeresaLisbon Thanks for your input, Teresa. No worries about the deletion.
As for the question, I read it as "Truth tables are routinely used to determine precisely when a compound sentence is true. But what if the unknown is the compound proposition instead of the truth table?" In other words, the context is that the user is exploring the topic by rethinking a standard exercise from an angle. It doesn't look like a PSQ to me; in any case, it seemed that he might have created the exercise himself.