premise: A running back running with the football.
hypothesis: Someone is playing football.
explanation_1: If the running back is running with the football, someone is playing football
explanation_2: A running back is someone, and that running back is playing football.
explanation_3: A running back is someone.  You can infer that running with the football means they are playing football.
premise_logic: exists e1 s1 x1 x2 x3.(n_football(x3) & a_topic(x1) & with(e1,x3) & Actor(e1,x2) & v_run(e1) & (x1 = x2) & n_run(x1) & a_back(s1) & Theme(s1,x1))
hypothesis_logic: exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_football(x2) & n_person(x1))