premise: A football game.
hypothesis: There is a football.
explanation_1: If there is a football game, it would follow that there is a football.
premise_logic: exists x1 x2.(a_topic(x1) & n_game(x1) & of(x1,x2) & n_football(x2))
hypothesis_logic: exists p1 x1 x2.((x1 = x2) & n_football(x2))
premise_sim: exists x1 x2.(of(x1,x2) & n_game(x1) & n_football(x2) & a_topic(x1))
hypothesis_sim: exists x1 x2.(n_football(x2) & (x1 = x2))