Consider the following premises. exists z_3: P(z_3). forall z_3: U_2(z_3). Can we infer exists z_3: P(z_3) or U(z_3) from them?
 From exists z_3: P(z_3), forall z_3: U_2(z_3) we can infer exists z_3: P(z_3) and U_2(z_3). From exists z_3: P(z_3) and U_2(z_3) we can infer exists z_3: P(z_3). Finally, from exists z_3: P(z_3) we can infer exists z_3: P(z_3) or U(z_3). Therefore, the answer is yes.