(i) Unless and until. In this combination as in the combination if and when, one of the conjunctions is almost always superfluous. So make up your mind which expresses your meaning better, and rely on it alone.
(ii) Until such time.
You will be able to enjoy these facilities until such time that he terminates his agreement.
In this sentence, and probably in every imaginable sentence, until is enough without the such time. If you insist nevertheless on writing until such time, the phrase should be such time as, not such time that. Similarly while is preferable to during such time as.