Consider the following premises. If Joseph were a musician, then Barbara is not a lawyer. Susan is a cashier or it is cold. Sarah is a nurse if and only if Joseph is a musician. If Susan were a cashier, then Barbara is a lawyer. It is cold if and only if Barbara is a lawyer. Can we infer the following from them? Sarah is a nurse.
 From the fact that it is cold if and only if Barbara is a lawyer we can infer that if it is cold, then Barbara is a lawyer. From the fact that if Susan were a cashier, then Barbara is a lawyer, that if it is cold, then Barbara is a lawyer, and that Susan is a cashier or it is cold we can infer that Barbara is a lawyer. From the fact that if Joseph were a musician, then Barbara is not a lawyer, and that Barbara is a lawyer we can infer that Joseph is not a musician. Finally, from the fact that Sarah is a nurse if and only if Joseph is a musician, and that Joseph is not a musician we can infer that Sarah is not a nurse, which contradicts that Sarah is a nurse. Therefore, the answer is no.