Consider the following premises. For all x_8, x_8 will cook or x_8 is not a poet. For all x_8, x_8 will cook or x_8 will not climb a mountain. For all x_8, x_8 is a poet. Can we infer the following from them? There is at least one x_8 for which x_8 will not cook.
 From the fact that for all x_8, x_8 will cook or x_8 is not a poet we can infer that for all x_8, if x_8 were a poet, then x_8 is cooking. From the fact that for all x_8, x_8 will cook or x_8 will not climb a mountain we can infer that for all x_8, if x_8 climbs a mountain, then x_8 is cooking. From the fact that for all x_8, x_8 is a poet we can infer that for all x_8, x_8 is a poet or x_8 will climb a mountain. Finally, from the fact that for all x_8, if x_8 were a poet, then x_8 is cooking, that for all x_8, if x_8 climbs a mountain, then x_8 is cooking, and that for all x_8, x_8 is a poet or x_8 will climb a mountain we can infer that for all x_8, x_8 will cook, which contradicts that There is at least one x_8 for which x_8 will not cook. Therefore, the answer is no.