formulas(sos).
end_of_list.
formulas(goals).
((all w1 (in(w1,xX) <-> in(w1,xY))) <-> ((all w1 (in(w1,xX) -> in(w1,xY))) & (all w1 (in(w1,xY) -> in(w1,xX))))).
end_of_list.
formulas(sos).
end_of_list.
formulas(goals).
((all w1 (in(w1,xX) <-> in(w1,xY))) <-> ((all w1 (in(w1,xX) -> in(w1,xY))) & (all w1 (in(w1,xY) -> in(w1,xX))))).
end_of_list.