Consider the following premises. For all x_7, x_7 will not work or x_7 is a writer. For all x_7, x_7 will not go running or x_7 will cook. For all x_7, x_7 will go running or x_7 will work. Sarah is not cooking. Can we infer the following from them? Elisabeth is not writing a letter.
We cannot infer that from the premises. Therefore the answer is no.