Consider the following premises. If Jessica goes running, then it is raining. Susan is drinking water if and only if Joseph is playing squash. Joseph is playing squash if and only if it is raining. Barbara is an astronaut. Susan is not drinking water. Can we infer the following from them? If we can, name the inference rule being used: If Barbara were an astronaut, then Jessica is not running.
We cannot infer that from the premises. Therefore the answer is no.