Consider the following premises. If Patricia were a police officer, then it is snowing. If Jessica plays squash, then Barbara is reading a book. If it snows, then it is overcast. If Barbara reads a book, then it is overcast. Patricia is a police officer or Jessica is playing squash. Can we infer the following from them? If we can, name the inference rule being used: Mary is happy.
We cannot infer that from the premises. Therefore the answer is no.