premise: A man with his young children.
hypothesis: They are a family.
explanation_1: Sentence 1 states a man with his young children doesn't logically imply they are a family. This is not  a logical implication.
premise_logic: exists s1 x1 x2.(a_topic(x1) & with(x1,x2) & n_child(x2) & a_young(s1) & Theme(s1,x2) & of(x2,x1) & n_male(x1) & n_man(x1))
hypothesis_logic: exists p1 x1.(n_thing(x1) & exists x2.((x1 = x2) & n_family(x2)))
premise_sim: exists s1 x1 x2.(with(x1,x2) & of(x2,x1) & n_man(x1) & n_male(x1) & n_child(x2) & a_young(s1) & a_topic(x1) & Theme(s1,x2))
hypothesis_sim: exists x1.(n_thing(x1) & exists x2.(n_family(x2) & (x1 = x2)))