Consider the following premises. For all x_10, x_10 is a lawyer or x_10 will play a game. For all x_10, x_10 will not work. For all x_10, x_10 is a doctor. For all x_10, x_10 will play a game if and only if x_10 will work. For all x_10, x_10 is not a lawyer or x_10 is a sailor. Can we infer the following from them? There is at least one x_10 for which either x_10 is a sailor or x_10 is a doctor are not true.
 From the fact that for all x_10, x_10 is a lawyer or x_10 will play a game, and that for all x_10, x_10 is not a lawyer or x_10 is a sailor we can infer that for all x_10, x_10 will play a game or x_10 is a sailor. From the fact that for all x_10, x_10 will play a game if and only if x_10 will work, and that for all x_10, x_10 will not work we can infer that for all x_10, x_10 will not play a game. From the fact that for all x_10, x_10 will play a game or x_10 is a sailor, and that for all x_10, x_10 will not play a game we can infer that for all x_10, x_10 is a sailor. Finally, from the fact that for all x_10, x_10 is a sailor, and that for all x_10, x_10 is a doctor we can infer that for all x_10, x_10 is a sailor and x_10 is a doctor, which contradicts that There is at least one x_10 for which either x_10 is a sailor or x_10 is a doctor are not true. Therefore, the answer is no.