premise: Some people are playing ping-pong.
hypothesis: Some people play a game
explanation_1: Ping-pong is a game so when they say play a game they are referring to ping-pong.
explanation_2: Ping-pong is a game, which is what the people are playing.
explanation_3: ping-pong is a game
premise_logic: exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_ping-pong(x2) & n_people(x1))
hypothesis_logic: exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_game(x2) & n_people(x1))