Consider the following premises. Robert is running or Michael is reading a book. If Robert goes running, then it is overcast. If it is overcast, then it is late. It is not raining. It is raining if and only if Michael is reading a book. Can we infer the following from them? It is not late.
 From the fact that it is raining if and only if Michael is reading a book, and that it is not raining we can infer that Michael is not reading a book. From the fact that Robert is running or Michael is reading a book we can infer that if Michael doesn't read a book, then Robert is running. From the fact that if Robert goes running, then it is overcast, and that if it is overcast, then it is late we can infer that if Robert goes running, then it is late. From the fact that if Michael doesn't read a book, then Robert is running, and that if Robert goes running, then it is late we can infer that if Michael doesn't read a book, then it is late. Finally, from the fact that if Michael doesn't read a book, then it is late, and that Michael is not reading a book we can infer that it is late, which contradicts that It is not late. Therefore, the answer is no.