A man with his shoes off is sitting on a rug.
a man sitting on a rug.
"A man sitting on a rug" is a simpler rephrasing of the first sentence about the man with his shoes off.
exists e1 x1 x2 x3.(on(e1,x3) & n_rug(x3) & Actor(e1,x1) & v_sit(e1) & with(x1,x2) & r_off(x2) & n_shoe(x2) & of(x2,x1) & n_male(x1) & n_man(x1))
exists e1 x1 x2 x3.(a_topic(x1) & on(e1,x3) & n_rug(x3) & Actor(e1,x2) & v_sit(e1) & (x1 = x2) & n_man(x1))