Consider the following premises. William is not cooking. If Michael were curious, then William is cooking. If Michael were curious, then William is cooking. If William cooks, then Michael is curious. Can we infer the following from them? Michael is not curious.
 From the fact that if William cooks, then Michael is curious, and that if Michael were curious, then William is cooking we can infer that William is cooking if and only if Michael is curious. From the fact that William is cooking if and only if Michael is curious we can infer that if William cooks, then Michael is curious. From the fact that if Michael were curious, then William is cooking, and that if William cooks, then Michael is curious we can infer that Michael is curious if and only if William is cooking. Finally, from the fact that Michael is curious if and only if William is cooking, and that William is not cooking we can infer that Michael is not curious. Therefore, the answer is yes.