Consider the following premises. forall x_13: P_13(x_13) -> Q_13(x_13). forall x_13: Q_13(x_13) -> R_13(x_13). R_13(h_2) <-> P_13(h_2). ~R_13(h_2). Can we infer P_13(h_2) from them?
 From forall x_13: P_13(x_13) -> Q_13(x_13), forall x_13: Q_13(x_13) -> R_13(x_13) we can infer forall x_13: P_13(x_13) -> R_13(x_13). From forall x_13: P_13(x_13) -> R_13(x_13) we can infer P_13(h_2) -> R_13(h_2). From R_13(h_2) <-> P_13(h_2) we can infer R_13(h_2) -> P_13(h_2). From P_13(h_2) -> R_13(h_2), R_13(h_2) -> P_13(h_2) we can infer P_13(h_2) <-> R_13(h_2). Finally, from P_13(h_2) <-> R_13(h_2), ~R_13(h_2) we can infer ~P_13(h_2), which contradicts P_13(h_2). Therefore, the answer is no.