Statements: No sun is a core.
Some cores are earths.
Conclusions: I. Some cores are not suns.
II. Some earths are cores.
No sun is core (E) ⇒ conversion ⇒ No core is a sun (E) ⇒I.I. ⇒ Some cores are not suns (O). Hence, conclusion I will follow. Some cores are earths (I) ⇒ conversion ⇒ Some earths are cores (I). Hence, conclusion II will also follow.