Consider the following premises. For all x_8, x_8 is not sad. For all x_8, x_8 is not rich or x_8 is a politician. For all x_8, x_8 will play a game or x_8 is rich. For all x_8, x_8 will not play a game or x_8 is sad. Can we infer the following from them? William is not a politician.
 From the fact that for all x_8, x_8 will play a game or x_8 is rich, and that for all x_8, x_8 will not play a game or x_8 is sad we can infer that for all x_8, x_8 is rich or x_8 is sad. From the fact that for all x_8, x_8 is rich or x_8 is sad, and that for all x_8, x_8 is not rich or x_8 is a politician we can infer that for all x_8, x_8 is sad or x_8 is a politician. Finally, from the fact that for all x_8, x_8 is sad or x_8 is a politician, and that for all x_8, x_8 is not sad we can infer that for all x_8, x_8 is a politician, which contradicts that William is not a politician. Therefore, the answer is no.