premise: A man in shorts is using a barbecue grill in a yard.
hypothesis: A man barbecues in his yard on the 4th of July.
explanation_1: Even though the man is using a barbecue grill does not mean he barbecues. The man may or may not be in his yard.  Just because the man is using a grill does not mean that it is the 4th of July.
premise_logic: exists e1 x1 x2 x3 x4 x5.(in(e1,x5) & n_yard(x5) & Theme(e1,x3) & Actor(e1,x1) & v_use(e1) & n_grill(x3) & of(x3,x4) & n_barbecue(x4) & in(x1,x2) & n_shorts(x2) & n_man(x1))
hypothesis_logic: exists x1 x2 x3 x4 x5.(n_date(x5) & a_date_month_07(x5) & a_date_month_07(x5) & n_date(x4) & a_date_day_04(x4) & a_date_day_04(x4) & a_topic(x1) & in(x1,x3) & on(x3,x4) & of(x4,x5) & n_yard(x3) & of(x3,x1) & n_male(x1) & n_barbecue(x1) & of(x1,x2) & n_man(x2))
premise_sim: exists e1 x1 x2 x3 x4 x5.(v_use(e1) & of(x3,x4) & n_yard(x5) & n_shorts(x2) & n_man(x1) & n_grill(x3) & n_barbecue(x4) & in(x1,x2) & in(e1,x5) & Theme(e1,x3) & Actor(e1,x1))
hypothesis_sim: exists x1 x2 x3 x4 x5.(on(x3,x4) & of(x4,x5) & of(x3,x1) & of(x1,x2) & n_yard(x3) & n_man(x2) & n_male(x1) & n_date(x5) & n_date(x4) & n_barbecue(x1) & in(x1,x3) & a_topic(x1) & a_date_month_07(x5) & a_date_day_04(x4))