Consider the following premises. For all x_11, x_11 will go running or x_11 is not an electrician. For all x_11, x_11 is a nurse or x_11 is a musician. For all x_11, x_11 will go running or x_11 is not a nurse. There is at least one x_11 for which if x_11 were a musician, then x_11 is an electrician. Can we infer the following from them? If we can, name the inference rule being used: For all x_11, x_11 will not go running.
 From the fact that for all x_11, x_11 will go running or x_11 is not an electrician we can infer that for all x_11, if x_11 were an electrician, then x_11 is running via universal rewriting. From the fact that for all x_11, x_11 will go running or x_11 is not a nurse we can infer that for all x_11, if x_11 were a nurse, then x_11 is running via universal rewriting. From the fact that there is at least one x_11 for which if x_11 were a musician, then x_11 is an electrician, and that for all x_11, if x_11 were an electrician, then x_11 is running we can infer that there is at least one x_11 for which if x_11 were a musician, then x_11 is running via existential transitivity. Finally, from the fact that for all x_11, if x_11 were a nurse, then x_11 is running, that there is at least one x_11 for which if x_11 were a musician, then x_11 is running, and that for all x_11, x_11 is a nurse or x_11 is a musician we can infer that there is at least one x_11 for which x_11 will go running via existential disjunction elimination, which contradicts that For all x_11, x_11 will not go running. Therefore, the answer is no.