We introduce a bit of romance. Let $R(x,y)$ mean that $x$ loves $y$. And let us assume, that as the old song says, everyone has someone who loves him/her (this is the first line). Actually, we can be unromantic and not quite believe it, since we are merely deducing consequences from it.
Take a particular individual $q$. The second line says that someone loves $q$. This clearly follows from the first line.
Call one of the people who loves $q$ by the name $p$. That gives us the third line.
Does $p$ love everybody? (The fourth line asserts that (s)he does.) Possible, but rather unlikely. Anyway, it is certainly not deducible from the fact that $p$ loves $q$.
Or if romance is not your style, what about biology? Let $R(x,y)$ mean that $x$ is the mother of $y$. The first line says that everybody has a mother. In the next few lines we try to deduce consequences.
The second and third lines follow easily, as in the "loves" case. So $p$ is the mother of $q$. Surely we cannot deduce in the fourth line that $p$ is everyone's mother.