premise: A group of people plays a game on the floor of a living room while a TV plays in the background.
hypothesis: A group of people plays a game on the floor of a living room.
explanation_1: The group of people is playing the game on the floor in the living room.
explanation_2: Plays a game while a TV plays in the backround is the same as plays a game.
explanation_3: The fact they played the game on the floor of the living room is already stated, sentence 1 just has auxiliary information.
premise_logic: exists e1 p1 x1 x2 x3 x4 x5 x6 x8.(n_background(x8) & n_floor(x4) & exists e2 x7.(in(e2,x8) & Actor(e2,x7) & v_play(e2) & n_tv(x7)) & while(e1,p1) & Theme(e1,x3) & Actor(e1,x1) & v_play(e1) & on(x3,x4) & of(x4,x5) & n_room(x5) & of(x5,x6) & n_living(x6) & n_game(x3) & of(x1,x2) & n_people(x2) & n_group(x1))
hypothesis_logic: exists e1 x1 x2 x3 x4 x5 x6.(n_floor(x4) & Theme(e1,x3) & Actor(e1,x1) & v_play(e1) & on(x3,x4) & of(x4,x5) & n_room(x5) & of(x5,x6) & n_living(x6) & n_game(x3) & of(x1,x2) & n_people(x2) & n_group(x1))