Consider the following premises. For all x_8, x_8 will not drink water or x_8 is a carpenter. For all x_8, x_8 is not a doctor or x_8 is a soldier. For all x_8, if x_8 were a soldier, then x_8 is drinking water. For all x_8, if x_8 makes tea, then x_8 is drinking water. For all x_8, x_8 is a doctor or x_8 will make tea. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 is a sailor or x_8 is a carpenter.
 From the fact that for all x_8, x_8 is a doctor or x_8 will make tea, and that for all x_8, x_8 is not a doctor or x_8 is a soldier we can infer that for all x_8, x_8 will make tea or x_8 is a soldier via universal resolution. From the fact that for all x_8, if x_8 makes tea, then x_8 is drinking water, that for all x_8, if x_8 were a soldier, then x_8 is drinking water, and that for all x_8, x_8 will make tea or x_8 is a soldier we can infer that for all x_8, x_8 will drink water via universal disjunction elimination. From the fact that for all x_8, x_8 will drink water we can infer that for all x_8, x_8 will drink water or x_8 is a sailor via universal addition. Finally, from the fact that for all x_8, x_8 will drink water or x_8 is a sailor, and that for all x_8, x_8 will not drink water or x_8 is a carpenter we can infer that for all x_8, x_8 is a sailor or x_8 is a carpenter via universal resolution. Therefore, the answer is yes.