Infield Fly with Interference

[IRISHMAFIA]

Originally Posted by Reffing Rev.

R1 is on 2nd, R2 is on 1st. 1 out.
Batter hits a routine fly ball to f6. There is contact between f6 and r1. Both recovered before the ball reached the apex and then f6 dropped the ball. When action stops the bases are loaded. THEN PU announces "dead ball, batter is out infield fly" and returns both runners to TOP with 2 outs.

I believe inning should be over. R1 out for INT and BR out for IFF

If there is no interference, the advance is legal correct?

What say yall?

Devil's Advocate:

What came first, the INT or the IF? Remember, if INT, the ball is dead and any subsequent anything never happened. IOW, did the INT and dead ball occur prior to the umpire being able to determine it was an IF?