Consider the following premises. Richard is writing a letter. If Richard writes a letter, then Thomas is poor. Joseph is an artist or William is not a server. William is a server or it is raining. If it rains, then Joseph is an artist. Can we infer the following from them? Joseph is not an artist.
 From the fact that Joseph is an artist or William is not a server we can infer that if William were a server, then Joseph is an artist. Finally, from the fact that if William were a server, then Joseph is an artist, that if it rains, then Joseph is an artist, and that William is a server or it is raining we can infer that Joseph is an artist, which contradicts that Joseph is not an artist. Therefore, the answer is no.