The white and black cat pawed at the piece of fabric.
The cat is scratching the couch.
A cat may not have claws, and thus would not be scratching at something despite pawing at it. Also a piece of fabric might be a part of the couch but it could be a part of many pieces of furniture or clothing.
exists e1 s1 s2 x1 x2 x3 x4.(n_piece(x3) & n_cat(x1) & a_black(s2) & Theme(s2,x1) & a_white(s1) & Theme(s1,x1) & a_topic(x1) & at(e1,x3) & of(x3,x4) & n_fabric(x4) & Theme(e1,x2) & v_paw(e1) & (x1 = x2))
exists e1 x1 x2.(n_couch(x2) & n_cat(x1) & Theme(e1,x2) & Actor(e1,x1) & v_scratch(e1))