The chief executive of Blue Cross and Blue Shield of Massachusetts abruptly resigned just weeks after he was replaced as chairman of the board. Cleve L. Killingsworth, 57, who helped lead Blue Cross for six years, departed shortly after the company posted a $149 million loss and reported it lost 89,000 subscribers last year. Former chief executive William C. Van Faasen, 61, who ran Blue Cross for 13 years and handpicked Killingsworth as his successor, will run the insurance giant without taking a salary until a permanent replacement is found.