premise: An elderly lady holding a scruffy dog and smiling contently.
hypothesis: a woman holding her scruffy dog
explanation_1: If a woman is holding a scruffy dog and smiling contently, she is most likely holder "her" scruffy dog.
explanation_2: Both sentences share a common subject (lady, woman), verb (holding), and direct object (dog).
explanation_3: A lady is a woman.
premise_logic: exists e2 e1 s1 s2 s3 s4 x1 x2 x3.(a_contently(s4) & Manner(e2,s4) & Actor(e2,x3) & v_smile(e2) & n_lady(x3) & a_elderly(s3) & Theme(s3,x3) & Theme(e1,x2) & Actor(e1,x1) & v_hold(e1) & n_dog(x2) & a_scruffy(s2) & Theme(s2,x2) & n_lady(x1) & a_elderly(s1) & Theme(s1,x1))
hypothesis_logic: exists e1 x1 x2 x3 x4.(a_topic(x1) & Theme(e1,x3) & Actor(e1,x2) & v_hold(e1) & n_dog(x3) & of(x3,x4) & n_scruffy(x4) & of(x3,x1) & n_female(x1) & (x1 = x2) & n_woman(x1))