It messed with my head a lot as well. The answer is that it's not possible for ¬Drive Home AND Rains to be true. This is because if Rains were true, then due to

It messed with my head a lot as well. The answer is that it's not possible for ¬Drive Home AND Rains to be true. This is because if Rains were true, then due to the first implication, Drive Home must also be true. Therefore, if ¬Drive Home is true, then Rains must be false.