Consider the following premises. For all x_7, if x_7 sleeps, then x_7 is climbing a mountain. For all x_7, x_7 will not drive a car. For all x_7, x_7 will sleep or x_7 is bored. For all x_7, x_7 will drive a car if and only if x_7 will climb a mountain. Can we infer the following from them? There is at least one x_7 for which x_7 is not bored.
 From the fact that for all x_7, x_7 will drive a car if and only if x_7 will climb a mountain, and that for all x_7, x_7 will not drive a car we can infer that for all x_7, x_7 will not climb a mountain. From the fact that for all x_7, if x_7 sleeps, then x_7 is climbing a mountain, and that for all x_7, x_7 will not climb a mountain we can infer that for all x_7, x_7 will not sleep. Finally, from the fact that for all x_7, x_7 will sleep or x_7 is bored, and that for all x_7, x_7 will not sleep we can infer that for all x_7, x_7 is bored, which contradicts that There is at least one x_7 for which x_7 is not bored. Therefore, the answer is no.