Chapter 1, Problem 11SE

Suppose that in a four-round obligato game, the teacher first gives the student the proposition $\neg \left(p\to \left(q\wedge r\right)\right)$ , then the proposition $p\vee \neg q$ , then the proposition $\neg r$ , and finally, the proposition

   $\left(p\wedge r\right)\vee \left(q\to p\right)$ . For which of the 16 possible sequences of four answers the student pass the test?