Consider the following premises. For all x_11, if x_11 were bored, then x_11 is a poet. For all x_11, x_11 is not bored. For all x_11, if x_11 were a poet, then x_11 is bored. For all x_11, x_11 is a poet and x_11 is excited. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_11 for which x_11 will not play a game.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.