εἰς θάνατον ἐκνεύειν

From LSJ

ὁ δ' εὖ ἔρδων θεοὺς ἐλπίδι κυδροτέρᾳ σαίνει κέαρ → but he who does well to the gods cheers his heart with a more glorious hope

Source

Greek > English (Woodhouse)

rush headlong to one's doom