A person riding a bike and carrying lumber.
The lumber is tied to the man's bike.
A person riding a bike and carrying lumber does not imply that he is tied to the man's bike.
exists e2 e1 x1 x2 x3 x4 x5.(a_topic(x1) & Theme(e2,x5) & Actor(e2,x4) & v_carry(e2) & n_lumber(x5) & (x1 = x4) & Theme(e1,x3) & Actor(e1,x2) & v_ride(e1) & n_bike(x3) & (x1 = x2) & n_person(x1))
exists e1 x1 x2 x3.(n_bike(x3) & of(x3,x2) & n_man(x2) & n_lumber(x1) & to(e1,x3) & Theme(e1,x1) & v_tie(e1))