Consider the following premises. For all x_13, x_13 is not a sailor or x_13 will listen to a song. There is at least one x_13 for which x_13 will drive a car. For all x_13, x_13 will not drive a car. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_13 for which x_13 is a musician or x_13 will listen to a song.
 From the fact that there is at least one x_13 for which x_13 will drive a car we can infer that there is at least one x_13 for which x_13 will drive a car or x_13 is a sailor via existential addition. From the fact that there is at least one x_13 for which x_13 will drive a car or x_13 is a sailor, and that for all x_13, x_13 will not drive a car we can infer that there is at least one x_13 for which x_13 is a sailor via existential disjunctive syllogism. From the fact that there is at least one x_13 for which x_13 is a sailor we can infer that there is at least one x_13 for which x_13 is a sailor or x_13 is a musician via existential addition. Finally, from the fact that there is at least one x_13 for which x_13 is a sailor or x_13 is a musician, and that for all x_13, x_13 is not a sailor or x_13 will listen to a song we can infer that there is at least one x_13 for which x_13 is a musician or x_13 will listen to a song via existential resolution. Therefore, the answer is yes.