Consider the following premises. For all x_18, x_18 is not a politician. For all x_18, x_18 will play a game or x_18 will write a letter. There is at least one x_18 for which if x_18 plays a game, then x_18 is making tea. For all x_18, if x_18 makes tea, then x_18 is a politician. Can we infer the following from them? For all x_18, neither x_18 will write a letter nor x_18 is a writer.
That contradicts the premises. Therefore the answer is no.