Consider the following premises. It is cold. For all x_11, x_11 will not listen to a song. For all x_11, x_11 will listen to a song or x_11 is a scientist. Can we infer the following from them? If we can, name the inference rule being used: Jessica is a scientist and it is cold.
 From the fact that for all x_11, x_11 will listen to a song or x_11 is a scientist, and that for all x_11, x_11 will not listen to a song we can infer that for all x_11, x_11 is a scientist via universal disjunctive syllogism. From the fact that for all x_11, x_11 is a scientist we can infer that Jessica is a scientist via universal instantiation. Finally, from the fact that Jessica is a scientist, and that it is cold we can infer that Jessica is a scientist and it is cold via conjunction. Therefore, the answer is yes.