Consider the following premises. forall x_13: U(x_13). forall x_13: R_4(x_13) or Q(x_13). forall x_13: Q(x_13) -> T_4(x_13). exists x_13: U(x_13) -> W_3(x_13). forall x_13: R_4(x_13) -> T_4(x_13). Can we infer exists x_13: W_3(x_13) and T_4(x_13) from them?
 From forall x_13: R_4(x_13) -> T_4(x_13), forall x_13: Q(x_13) -> T_4(x_13), forall x_13: R_4(x_13) or Q(x_13) we can infer forall x_13: T_4(x_13). From exists x_13: U(x_13) -> W_3(x_13), forall x_13: U(x_13) we can infer exists x_13: W_3(x_13). Finally, from exists x_13: W_3(x_13), forall x_13: T_4(x_13) we can infer exists x_13: W_3(x_13) and T_4(x_13). Therefore, the answer is yes.