premise: A person writing something on a newspaper.
hypothesis: A person is writing.
explanation_1: The person is writing because the person is writing on a newspaper.
explanation_2: In both cases, the person is writing.  It does not matter on what.
explanation_3: A person is writing because they are writing it on a newspaper.
premise_logic: exists e1 x1 x2 x3 x4.(a_topic(x1) & Theme(e1,x3) & Actor(e1,x2) & v_write(e1) & on(x3,x4) & n_newspaper(x4) & n_thing(x3) & (x1 = x2) & n_person(x1))
hypothesis_logic: exists e1 x1.(Actor(e1,x1) & v_write(e1) & n_person(x1))
premise_sim: exists e1 x1 x2 x3 x4.(v_write(e1) & on(x3,x4) & n_thing(x3) & n_person(x1) & n_newspaper(x4) & a_topic(x1) & Theme(e1,x3) & Actor(e1,x2) & (x1 = x2))
hypothesis_sim: exists e1 x1.(v_write(e1) & n_person(x1) & Actor(e1,x1))