Consider the following premises. For all x_8, x_8 will listen to a song if and only if x_8 will go running. There is at least one x_8 for which x_8 will go running or x_8 is not an astronaut. For all x_8, x_8 will not listen to a song. Can we infer the following from them? For all x_8, x_8 is an astronaut.
 From the fact that for all x_8, x_8 will listen to a song if and only if x_8 will go running, and that for all x_8, x_8 will not listen to a song we can infer that for all x_8, x_8 will not go running. From the fact that there is at least one x_8 for which x_8 will go running or x_8 is not an astronaut we can infer that there is at least one x_8 for which if x_8 were an astronaut, then x_8 is running. Finally, from the fact that there is at least one x_8 for which if x_8 were an astronaut, then x_8 is running, and that for all x_8, x_8 will not go running we can infer that there is at least one x_8 for which x_8 is not an astronaut, which contradicts that For all x_8, x_8 is an astronaut. Therefore, the answer is no.