Consider the following premises. Some bartenders are musicians. For all x_10, x_10 is a poet. For all x_10, if x_10 were a poet, then x_10 is a carpenter. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, either x_10 is a carpenter or x_10 is a bartender are not true.
 From the fact that for all x_10, if x_10 were a poet, then x_10 is a carpenter, and that for all x_10, x_10 is a poet we can infer that for all x_10, x_10 is a carpenter via universal modus ponens. From the fact that some bartenders are musicians we can infer that there is at least one x_10 for which x_10 is a bartender via existential simplification. Finally, from the fact that for all x_10, x_10 is a carpenter, and that there is at least one x_10 for which x_10 is a bartender we can infer that some carpenters are bartenders via existential conjunction, which contradicts that For all x_10, either x_10 is a carpenter or x_10 is a bartender are not true. Therefore, the answer is no.