Consider the following premises. For all x_21, if x_21 reads a book, then x_21 is a mechanic. For all x_21, if x_21 goes running, then x_21 is a mechanic. For all x_21, x_21 is a mechanic if and only if x_21 is bored. For all x_21, x_21 will read a book or x_21 will go running. Can we infer the following from them? Elisabeth is bored or it is cloudy.
 From the fact that for all x_21, if x_21 reads a book, then x_21 is a mechanic, that for all x_21, if x_21 goes running, then x_21 is a mechanic, and that for all x_21, x_21 will read a book or x_21 will go running we can infer that for all x_21, x_21 is a mechanic. From the fact that for all x_21, x_21 is a mechanic if and only if x_21 is bored we can infer that for all x_21, if x_21 were a mechanic, then x_21 is bored. From the fact that for all x_21, if x_21 were a mechanic, then x_21 is bored, and that for all x_21, x_21 is a mechanic we can infer that for all x_21, x_21 is bored. From the fact that for all x_21, x_21 is bored we can infer that Elisabeth is bored. Finally, from the fact that Elisabeth is bored we can infer that Elisabeth is bored or it is cloudy. Therefore, the answer is yes.