Consider the following premises. For all x_6, if x_6 climbs a mountain, then x_6 is bored. For all x_6, x_6 will sleep or x_6 will climb a mountain. There is at least one x_6 for which x_6 will make tea. For all x_6, x_6 is bored or x_6 will not sleep. Can we infer the following from them? For all x_6, either x_6 is bored or x_6 will make tea are not true.
 From the fact that for all x_6, x_6 is bored or x_6 will not sleep we can infer that for all x_6, if x_6 sleeps, then x_6 is bored. From the fact that for all x_6, if x_6 sleeps, then x_6 is bored, that for all x_6, if x_6 climbs a mountain, then x_6 is bored, and that for all x_6, x_6 will sleep or x_6 will climb a mountain we can infer that for all x_6, x_6 is bored. Finally, from the fact that for all x_6, x_6 is bored, and that there is at least one x_6 for which x_6 will make tea we can infer that there is at least one x_6 for which x_6 is bored and x_6 will make tea, which contradicts that For all x_6, either x_6 is bored or x_6 will make tea are not true. Therefore, the answer is no.