How many proteins are associated with an institution founded after 1880 or an institution with type "Private"?
return institutions ;return #1 founded after 1880 ;return type of #1 ;return #1 where #3 is  Private ;return proteins associated with  #2 ;return proteins associated with  #4 ;return #5 ,  #6 ;return number of  #7
['select', 'filter', 'project', 'comparative', 'project', 'project', 'union', 'aggregate']