Consider the following premises. For all x_11, x_11 will drink water if and only if x_11 will climb a mountain. For all x_11, if x_11 climbs a mountain, then x_11 is drinking water. There is at least one x_11 for which x_11 will drink water. For all x_11, x_11 will not climb a mountain. Can we infer the following from them? If we can, name the inference rule being used: For all x_11, x_11 will not sleep.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.