Consider the following premises. For all x_9, x_9 will not play tennis. For all x_9, if x_9 were a carpenter, then x_9 is cooking. For all x_9, x_9 is a carpenter. For all x_9, x_9 will play tennis or x_9 will climb a mountain. Can we infer the following from them? Joseph is climbing a mountain.
 From the fact that for all x_9, x_9 will play tennis or x_9 will climb a mountain, and that for all x_9, x_9 will not play tennis we can infer that for all x_9, x_9 will climb a mountain. From the fact that for all x_9, if x_9 were a carpenter, then x_9 is cooking, and that for all x_9, x_9 is a carpenter we can infer that for all x_9, x_9 will cook. From the fact that for all x_9, x_9 will climb a mountain, and that for all x_9, x_9 will cook we can infer that for all x_9, x_9 will climb a mountain and x_9 will cook. From the fact that for all x_9, x_9 will climb a mountain and x_9 will cook we can infer that Joseph is climbing a mountain and Joseph is cooking. Finally, from the fact that Joseph is climbing a mountain and Joseph is cooking we can infer that Joseph is climbing a mountain. Therefore, the answer is yes.