Consider the following premises. For all x_6, if x_6 were an astronaut, then x_6 is playing a game. There is at least one x_6 for which if x_6 were a scientist, then x_6 is working. For all x_6, if x_6 works, then x_6 is an astronaut. For all x_6, if x_6 were sad, then x_6 is a scientist. Can we infer the following from them? There is at least one x_6 for which if x_6 were a scientist, then x_6 is working.
That is one of the premises. Therefore, the answer is yes.