Consider the following premises. For all x_8, if x_8 makes tea, then x_8 is listening to a song. For all x_8, if x_8 writes a letter, then x_8 is making tea. For all x_8, if x_8 listens to a song, then x_8 is working. For all x_8, if x_8 works, then x_8 is writing a letter. Can we infer the following from them? If we can, name the inference rule being used: The fact that Joseph makes tea does not imply that Joseph is working.
That contradicts the premises. Therefore the answer is no.