Andy the pirate has found 4 boxes on a certain island, each with a label. Here are the assumptions:
Here are the labels:
: The gold is here.
: The gold is either in box 4 or it's here.
: The gold is in box 1 or it's here.
: The gold is in box 2 or it's here.
Which box should Andy open?
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If box 1 tells the truth, then so would box 3. This cannot happen. If box 2 tells the truth, then so does box 4 and vice-versa. Since one of the boxes must tell the truth, then it's box 3. We know that the gold is not in box 1, then it's in box 3.