Consider the following premises. For all x_14, x_14 is not a soldier. Joseph is not cooking. For all x_14, x_14 is a soldier or x_14 will cook. Can we infer the following from them? David is a scientist.
 From the fact that for all x_14, x_14 is a soldier or x_14 will cook, and that for all x_14, x_14 is not a soldier we can infer that for all x_14, x_14 will cook. From the fact that for all x_14, x_14 will cook we can infer that Joseph is cooking. From the fact that Joseph is cooking we can infer that Joseph is cooking or David is a scientist. Finally, from the fact that Joseph is cooking or David is a scientist, and that Joseph is not cooking we can infer that David is a scientist. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.