Consider the following premises. If Sarah drinks water, then it is snowing. Susan is an artist if and only if William is playing tennis. If Susan were an artist, then Sarah is drinking water. Can we infer the following from them? The fact that William plays tennis does not imply that it is snowing.
 From the fact that Susan is an artist if and only if William is playing tennis we can infer that if William plays tennis, then Susan is an artist. From the fact that if William plays tennis, then Susan is an artist, and that if Susan were an artist, then Sarah is drinking water we can infer that if William plays tennis, then Sarah is drinking water. Finally, from the fact that if William plays tennis, then Sarah is drinking water, and that if Sarah drinks water, then it is snowing we can infer that if William plays tennis, then it is snowing, which contradicts that The fact that William plays tennis does not imply that it is snowing. Therefore, the answer is no.