If the animal jumps out of the vehicle, or the truck is in an accident, the animal could be injured. 
The truck the animal is in is moving.
Just because the animal is inside the truck doesn't mean it's moving.
exists x1 x2 x3.(n_animal(x1) & n_animal(x1) & n_truck(x3) & n_vehicle(x2) & ((exists e1.(r_out(e1) & of(e1,x2) & Actor(e1,x1) & v_jump(e1)) | exists p1 x4.(in(x3,x4) & n_accident(x4))) -> exists e2 p2.(exists e3.(Theme(e3,x1) & v_injure(e3)) & Topic(e2,p2) & Actor(e2,x1) & v_could(e2))))
exists e1 p1 x1 x2.(n_animal(x2) & n_truck(x1) & Actor(e1,x1) & v_move(e1) & exists x3.(in(x2,x3) & (x1 = x3)))