(1) I'll see that the problem is dealt with.
(2) I'll see that the problem will be dealt with.
To me, (1) is wrong because, as far as I understand its meaning, dealing with the problem will be happening in the future, so we must use (2).
Why is (1) correct?
What's the difference between (1) and (2)?
Maybe the that-clause in (1) is in the covert subjunctive. Is it so?
If so, we can rewrite it using a usual subjunctive form:
(3) I'll see that the problem be dealt with.
Is (3) correct?