Consider the following premises. For all x_8, x_8 is not bored. There is at least one x_8 for which x_8 will make tea if and only if x_8 will sleep. For all x_8, x_8 is bored or x_8 will make tea. Can we infer the following from them? There is at least one x_8 for which x_8 will sleep.
 From the fact that there is at least one x_8 for which x_8 will make tea if and only if x_8 will sleep we can infer that there is at least one x_8 for which if x_8 makes tea, then x_8 is sleeping. From the fact that for all x_8, x_8 is bored or x_8 will make tea, and that for all x_8, x_8 is not bored we can infer that for all x_8, x_8 will make tea. Finally, from the fact that there is at least one x_8 for which if x_8 makes tea, then x_8 is sleeping, and that for all x_8, x_8 will make tea we can infer that there is at least one x_8 for which x_8 will sleep. Therefore, the answer is yes.