By Lisa Richwine (Reuters) -Actor Will Smith has resigned from Hollywood’s Academy of Motion Picture Arts and Sciences, saying on Friday that his slapping of presenter Chris Rock on stage at this year’s Oscars ceremony was “shocking, painful and inexcusable.” “I betrayed the trust of the Academy. I deprived other nominees and winners of their opportunity to celebrate and be celebrated for their extraordinary work. I am heartbroken,” Smith said in a statement. “So, I am resigning from membership in the Academy of Motion Picture Arts and Sciences, and will accept any further consequences the Boa…