Consider the following premises. For all x_6, x_6 is not bored or x_6 is a scientist. For all x_6, x_6 is a soldier or x_6 is not a scientist. For all x_6, x_6 is bored or x_6 will play tennis. There is at least one x_6 for which if x_6 plays tennis, then x_6 is a soldier. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, x_6 is not a soldier.
 From the fact that for all x_6, x_6 is bored or x_6 will play tennis, and that for all x_6, x_6 is not bored or x_6 is a scientist we can infer that for all x_6, x_6 will play tennis or x_6 is a scientist via universal resolution. From the fact that for all x_6, x_6 is a soldier or x_6 is not a scientist we can infer that for all x_6, if x_6 were a scientist, then x_6 is a soldier via universal rewriting. Finally, from the fact that there is at least one x_6 for which if x_6 plays tennis, then x_6 is a soldier, that for all x_6, if x_6 were a scientist, then x_6 is a soldier, and that for all x_6, x_6 will play tennis or x_6 is a scientist we can infer that there is at least one x_6 for which x_6 is a soldier via existential disjunction elimination, which contradicts that For all x_6, x_6 is not a soldier. Therefore, the answer is no.