A woman in a white dress and colorful hat is dancing and singing on stage in front of a band.
The woman was having a lot of fun
We have no indication that the woman singer in sentence 1 is having fun. She could have been doing her best Edith Piaf imitation.
exists e1 e2 s1 s2 s3 s4 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14.(in(e2,x13) & of(x13,x14) & n_band(x14) & n_front(x13) & on(e2,x12) & n_stage(x12) & Actor(e2,x8) & v_sing(e2) & in(x8,x9) & n_hat(x11) & a_colorful(s4) & Theme(s4,x11) & n_dress(x10) & a_white(s3) & Theme(s3,x10) & subset_of(x11,x9) & subset_of(x10,x9) & n_woman(x8) & in(e1,x6) & of(x6,x7) & n_band(x7) & n_front(x6) & on(e1,x5) & n_stage(x5) & Actor(e1,x1) & v_dance(e1) & in(x1,x2) & n_hat(x4) & a_colorful(s2) & Theme(s2,x4) & n_dress(x3) & a_white(s1) & Theme(s1,x3) & subset_of(x4,x2) & subset_of(x3,x2) & n_woman(x1))
exists e1 x1 x2 x3.(n_woman(x1) & Theme(e1,x2) & Actor(e1,x1) & v_have(e1) & of(x2,x3) & n_fun(x3) & n_lot(x2))