Consider the following premises. forall x_21: P_21(x_21) or Q_21(x_21). forall x_21: Q_21(x_21) -> R_21(x_21). forall x_21: P_21(x_21) -> R_21(x_21). forall x_21: R_21(x_21) <-> P(x_21). Can we infer P(c) or q from them?
 From forall x_21: P_21(x_21) -> R_21(x_21), forall x_21: Q_21(x_21) -> R_21(x_21), forall x_21: P_21(x_21) or Q_21(x_21) we can infer forall x_21: R_21(x_21). From forall x_21: R_21(x_21) <-> P(x_21) we can infer forall x_21: R_21(x_21) -> P(x_21). From forall x_21: R_21(x_21) -> P(x_21), forall x_21: R_21(x_21) we can infer forall x_21: P(x_21). From forall x_21: P(x_21) we can infer P(c). Finally, from P(c) we can infer P(c) or q. Therefore, the answer is yes.