Consider the following premises. For all x_8, if x_8 reads a book, then x_8 is an astronaut. There is at least one x_8 for which x_8 will write a letter. For all x_8, if x_8 writes a letter, then x_8 is not an astronaut. For all x_8, x_8 will read a book. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 is not poor.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.