With verbs signifying to cease, release, remove, restrain, give up, fail, be distant from, etc., the genitive denotes separation.
λήγειν τῶν πόνων
to cease from toil 1.14, ἐπιστήμη χωριζομένη δικαιοσύνης
knowledge divorced from justice Menex. 246e, μεταστᾱ̀ς τῆς Ἀθηναίων ξυμμαχίᾱς
withdrawing from the alliance with the Athenians 2.67, παύσαντες αὐτὸν τῆς στρατηγίᾱς
removing him from his office of general H. 6.2.13, εἴργεσθαι τῆς ἀγορᾶς
to be excluded from the forum 6.24, σῶσαι κακοῦ
to save from evil Ph. 919, ἐκώλῡον τῆς πορείᾱς αὐτόν
they prevented him from passing Ages. 2.2, πᾶς ἀσκὸς δύο ἄνδρας ἕξει τοῦ μὴ καταδῦναι
each skin will keep two men from sinking A. 3.5.11, λόγου τελευτᾶν
to end a speech 3.59, τῆς ἐλευθερίᾱς παραχωρῆσαι Φιλίππῳ
to surrender their freedom to Philip 18.68, οὐ πόνων ὑφῑ́ετο, οὐ κινδῡ́νων ἀφῑ́στατο, οὐ χρημάτων ἐφείδετο he did not relax his toil, stand aloof from dangers, or spare his money Ages. 7.1, ψευσθέντες τῶν ἐλπίδων
disappointed of their expectations 4.58 (but cp. 1352), ἡ νῆσος οὐ πολὺ διέχουσα τῆς ἠπείρου
the island being not far distant from the mainland 3.51.