The big dog is carrying an object is its mouth.
The big cat carried the object around.
A cat and a dog are two different types of animals. The verb phrase "is carrying" means it is happening right now, while the verb "carried" means it has already happened.
exists e1 p1 s1 x1 x2 x3 x4.(n_mouth(x4) & of(x4,x1) & n_thing(x1) & n_dog(x1) & a_big(s1) & Theme(s1,x1) & Theme(e1,x2) & Actor(e1,x1) & v_carry(e1) & (x3 = x4) & (x2 = x3) & n_object(x2))
exists e1 s1 s2 x1 x2.(n_object(x2) & a_around(s2) & Theme(s2,x2) & n_cat(x1) & a_big(s1) & Theme(s1,x1) & Theme(e1,x2) & Actor(e1,x1) & v_carry(e1))