Consider the following premises. For all x_14, if x_14 plays squash, then x_14 is a musician. For all x_14, x_14 will play a game or x_14 will not take a plane. There is at least one x_14 for which if x_14 were a musician, then x_14 is taking a plane. For all x_14, if x_14 plays a game, then x_14 is drinking water. For all x_14, if x_14 drinks water, then x_14 is playing squash. Can we infer the following from them? If we can, name the inference rule being used: For all x_14, if is not true that x_14 will play squash if and only if x_14 is a musician.
 From the fact that for all x_14, if x_14 plays a game, then x_14 is drinking water, and that for all x_14, if x_14 drinks water, then x_14 is playing squash we can infer that for all x_14, if x_14 plays a game, then x_14 is playing squash via universal transitivity. From the fact that for all x_14, x_14 will play a game or x_14 will not take a plane we can infer that for all x_14, if x_14 takes a plane, then x_14 is playing a game via universal rewriting. From the fact that for all x_14, if x_14 takes a plane, then x_14 is playing a game, and that for all x_14, if x_14 plays a game, then x_14 is playing squash we can infer that for all x_14, if x_14 takes a plane, then x_14 is playing squash via universal transitivity. From the fact that there is at least one x_14 for which if x_14 were a musician, then x_14 is taking a plane, and that for all x_14, if x_14 takes a plane, then x_14 is playing squash we can infer that there is at least one x_14 for which if x_14 were a musician, then x_14 is playing squash via existential transitivity. Finally, from the fact that for all x_14, if x_14 plays squash, then x_14 is a musician, and that there is at least one x_14 for which if x_14 were a musician, then x_14 is playing squash we can infer that there is at least one x_14 for which x_14 will play squash if and only if x_14 is a musician via existential biconditional introduction, which contradicts that For all x_14, if is not true that x_14 will play squash if and only if x_14 is a musician. Therefore, the answer is no.