In an apartment building,

(i) all tenants live in a studio, except those on the 2nd floor;

(ii) everyone from the 2nd floor has paid this month’s rent;

(iii) some tenant has not paid his rent yet. Using the following predicates, where x ranges over all tenants in this building

R(x): tenant x has paid this month’s rest;

S(x):tenant x lives in a studio;

P(x): tenant x lives on the 2nd floor;

translate the above statements about the tenants as quantified statements. Then, conclude that there is some tenant living in a studio who has not paid his rent yet (give all details of your deduction)

Please show and explain all your work please.