Consider the following statements relating to the level of poker play of four players $P, Q, R$ and $S$.

1. $P$ always beats $Q$
2. $R$ always beats $S$
3. $S$ loses to $P$ only sometimes
4. $R$ always loses to $Q$

Which of the following can be logically inferred from the above statements?

1. $P$ is likely to beat all the three other players
2. $S$ is the absolute worst player in the set
1. (i) only
2. (ii) only
3. (i) and (ii)
4. neither (i) nor (ii)