Men are playing soccer with a white ball.
The gentleman are using a ball to play soccer.
"ball to play soccer" is rephrasing "playing soccer with a white ball"
exists e1 s1 x1 x2 x3.(with(e1,x3) & n_ball(x3) & a_white(s1) & Theme(s1,x3) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_soccer(x2) & n_man(x1))
exists e1 p1 x1 x2.(n_gentleman(x1) & Theme(e1,p1) & Recipient(e1,x2) & Actor(e1,x1) & v_use(e1) & exists e2 x3.(Theme(e2,x3) & Actor(e2,x1) & v_play(e2) & n_soccer(x3)) & n_ball(x2))