premise: a person cooking on a fire while a small child watches.
hypothesis: There is a child watching a person cooking on a fire.
explanation_1: Cooking on a fire implies person cooking.
explanation_2: "There is a child watching a person cooking on a fire" is a rephrasing of "a person cooking on a fire while a small child watches."
explanation_3: a person cooking on a fire while a small child watches is inferred as child watching a person cooking on a fire.
premise_logic: exists e1 s1 x1 x2 x3 x4.(while(e1,x3) & n_watch(x3) & of(x3,x4) & n_child(x4) & a_small(s1) & Theme(s1,x3) & on(e1,x2) & n_fire(x2) & Actor(e1,x1) & v_cooking(e1) & n_person(x1))
hypothesis_logic: exists p1 x1 e1 x2 x3 x4 x5 x6.((x1 = x2) & on(e1,x6) & n_fire(x6) & Time(e1,x5) & n_cooking(x5) & Theme(e1,x4) & Actor(e1,x3) & v_watch(e1) & n_person(x4) & (x2 = x3) & n_child(x2))