Two adults, a child, and a clown walking down a sidewalk.
The child loved the clown performer on his birthday.
The child is not implied to be celebrating a birthday, nor is the family implied to know the clown whatsoever. They could be in a big city and simply walking down the same sidewalk together. It doesn't mean that the child loved the clown performer on his birthday as none of that is implied in sentence 1.
exists s1 x1 x2 x3 x4 x5.(a_topic(x1) & rel(x1,x2) & subset_of(x4,x2) & down(x4,x5) & n_sidewalk(x5) & n_walking(x4) & a_clown(s1) & Theme(s1,x4) & subset_of(x3,x2) & n_child(x3) & n_adult(x1) & card_eq_2(x1))
exists e1 s1 x1 x2 x3.(n_birthday(x3) & of(x3,x2) & n_male(x2) & n_performer(x2) & a_clown(s1) & Theme(s1,x2) & n_child(x1) & Theme(e1,x2) & Actor(e1,x1) & v_love(e1) & on(x2,x3))