premise: A man and woman dance together.
hypothesis: A man and woman dance.
explanation_1: A man and woman dance in both sentences.
explanation_2: a man and woman dancing together necessitates that each are dancing
explanation_3: A man and woman dancing together are both dancing.
premise_logic: exists s1 x1 x2 x3 x4.(Theme(s1,x1) & a_together(s1) & n_dance(x3) & of(x3,x4) & n_woman(x4) & n_man(x2) & subset_of(x3,x1) & subset_of(x2,x1))
hypothesis_logic: exists s1 x1 x2 x3.(a_topic(s1) & n_dance(x2) & of(x2,x3) & n_woman(x3) & n_man(x1) & subset_of(x2,s1) & subset_of(x1,s1))