Correct ruling. When the batter becomes a batter-runner, R1 is forced to 2nd base, and staying on 1st base is not a safe haven (unless BR is put out first). Since R1 was tagged first, R1 is out. BR still must reach 1st before 1st is tagged; and didn't. Double play.
If F3 tagged the base first, then R1 could have safely stayed on 1st, as the force would have been released. Didn't happen in that sequence, according to your own account.
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Steve
ASA/ISF/NCAA/NFHS/PGF
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