Consider the following premises. For all x_12, x_12 will work and x_12 will play squash. There is at least one x_12 for which x_12 is bored. For all x_12, x_12 is an astronaut if and only if x_12 will work. Can we infer the following from them? If we can, name the inference rule being used: For all x_12, either x_12 is bored or x_12 is an astronaut are not true.
That contradicts the premises. Therefore the answer is no.