Consider the following premises. For all x_7, x_7 will cook if and only if x_7 will go running. For all x_8, x_8 will go running. Can we infer the following from them? Jessica is not cooking.
 From the fact that for all x_8, x_8 will go running we can infer that Jessica is running. From the fact that for all x_7, x_7 will cook if and only if x_7 will go running we can infer that Jessica is cooking if and only if Jessica is running. From the fact that Jessica is cooking if and only if Jessica is running we can infer that if Jessica goes running, then Jessica is cooking. Finally, from the fact that if Jessica goes running, then Jessica is cooking, and that Jessica is running we can infer that Jessica is cooking, which contradicts that Jessica is not cooking. Therefore, the answer is no.