Consider the following premises. For all z, z will listen to a song if and only if z is happy. For all z, z will not listen to a song. There is at least one z for which if z were a politician, then z is happy. For all z, if z were happy, then z is drinking water. For all z, if z drinks water, then z is a politician. Can we infer the following from them? For all z, z will drink water.
 From the fact that for all z, if z drinks water, then z is a politician, and that there is at least one z for which if z were a politician, then z is happy we can infer that there is at least one z for which if z drinks water, then z is happy. From the fact that for all z, z will listen to a song if and only if z is happy, and that for all z, z will not listen to a song we can infer that for all z, z is not happy. From the fact that for all z, if z were happy, then z is drinking water, and that there is at least one z for which if z drinks water, then z is happy we can infer that there is at least one z for which z is happy if and only if z will drink water. Finally, from the fact that there is at least one z for which z is happy if and only if z will drink water, and that for all z, z is not happy we can infer that there is at least one z for which z will not drink water, which contradicts that For all z, z will drink water. Therefore, the answer is no.