Consider the following premises. For all x_3, x_3 will drink water if and only if x_3 will cook. For all x_3, x_3 will not drink water. For all x_3, x_3 will cook if and only if x_3 is happy. Can we infer the following from them? For all x_3, x_3 is not happy.
 From the fact that for all x_3, x_3 will cook if and only if x_3 is happy we can infer that for all x_3, if x_3 were happy, then x_3 is cooking. From the fact that for all x_3, x_3 will drink water if and only if x_3 will cook, and that for all x_3, x_3 will not drink water we can infer that for all x_3, x_3 will not cook. Finally, from the fact that for all x_3, if x_3 were happy, then x_3 is cooking, and that for all x_3, x_3 will not cook we can infer that for all x_3, x_3 is not happy. Therefore, the answer is yes.