Two men in a bike race
Two guy are in a race on a bike
Using the word bike as an adjective is an easier and simpler way to describe the race than using it in a prepositional phrase.
exists x1 x2 x3.(a_topic(x1) & in(x1,x2) & n_race(x2) & of(x2,x3) & n_bike(x3) & n_man(x1) & card_eq_2(x1))
exists p1 x1.(exists x2 x3.(in(x1,x2) & on(x2,x3) & n_bike(x3) & n_race(x2)) & n_guy(x1) & card_eq_2(x1))