FED - DH - Re Entry

[johnnyg08]

Thoughts on this one?

Here is the relevant piece to the scenario:

Lineup:

Jones 8

Smith DH

So...Smith is DHing for Jones who is playing centerfield.

In the 2nd inning Smith singles and is stranded on base.

At the end of their offensive half inning, Jones goes to play defense in center.

In the 5th inning Smith leads off with a single. Jones pinch runs for Smith.

At the end of their offensive half inning, Jones goes back to centerfield.

In the 7th inning Smith bats for Jones again and lines out to right field.

At the end of their offensive half inning, Jones goes back to centerfield

In the 9th inning Smith is in the on deck circle to hit again for Jones.

If Smith gets up to bat again...by rule is this legal or illegal?