a losing battle
US /ə ˈluːzɪŋ ˈbætəl/
UK /ə ˈluːzɪŋ ˈbætəl/

1.
a struggle or effort that is certain to fail
:
•
Trying to convince him is a losing battle; he never changes his mind.
•
Fighting against the new policy felt like a losing battle.
a struggle or effort that is certain to fail