run counter to
Be in conflict with, oppose, as in Practice often runs counter to theory. This idiom, first recorded in 1843, uses counter in the sense of “in an opposite direction.”
Words nearby run counter to
run away,
run away with,
run batted in,
run by someone,
run circles around,
run counter to,
run down,
run dry,
run for it,
run for one's money, a,
run foul