Consider the following premises. For all x_9, if x_9 makes tea, then x_9 is sleeping. For all x_9, x_9 will listen to a song and x_9 is a cashier. For all x_9, x_9 is an office clerk or x_9 will make tea. For all x_9, if x_9 were an office clerk, then x_9 is sleeping. Can we infer the following from them? For all x_9, if x_9 were an office clerk, then x_9 is sleeping.
That is one of the premises. Therefore, the answer is yes.