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