A man sits at a cluttered desk looking towards a printer.
A man sitting at a desk is looking at something.
The sentence is correct. A man sitting at a desk is looking at something which in this case is a printer.
exists e1 e2 s1 x1 x2 x3.(for(e1,e2) & towards(e2,x3) & n_printer(x3) & Actor(e2,x1) & v_look(e2) & at(e1,x2) & n_desk(x2) & a_cluttered(s1) & Theme(s1,x2) & Actor(e1,x1) & v_sit(e1) & n_man(x1))
exists e1 e2 x1 x2 x3 x4.(at(e2,x4) & n_thing(x4) & Actor(e2,x1) & v_look(e2) & at(e1,x3) & n_desk(x3) & Actor(e1,x2) & v_sit(e1) & (x1 = x2) & n_man(x1))