Consider the Following Domain, Assignment of Objects in the Domain

Multiple Choice

consider the following domain, assignment of objects in the domain, and assignments sets to predicates.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto}
a = Mercury b = Jupiter c = Saturn d = Pluto
Mx = {Mercury, Mars}
Px = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
Cxy = {, , , , , , , , , ,
, , , , , , , , , , , , , , , , , , , , , , , , , }
-Given the customary truth tables, which of the following theories is modeled by the above interpretation?

A) Pa • Pd
Cad • ~Cda
B) Pb • Pd
Cbd • ~Cdb
C) Pa • Pb
Cab • ∼Cba
D) Pb • Pa
Cba • ~Cab
E) Pc • Pb
Ccb • ~Cbc