Consider the following premises. For all x_10, if x_10 were a musician, then x_10 is a poet. There is at least one x_10 for which x_10 is not a poet or x_10 is a politician. For all x_10, if x_10 climbs a mountain, then x_10 is a musician. For all x_10, x_10 will climb a mountain or x_10 is a mechanic. For all x_10, if x_10 were a mechanic, then x_10 is a musician. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, neither x_10 will play tennis nor x_10 is a politician.
That contradicts the premises. Therefore the answer is no.