import java.util.Calendar;
import java.util.Date;

import org.quartz.JobDetail;
import org.quartz.Scheduler;
import org.quartz.SimpleTrigger;
import org.quartz.Trigger;
import org.quartz.impl.StdSchedulerFactory;
import org.quartz.jobs.NoOpJob;

public class Quartz554Repro {

    public static void main(String[] args) throws Exception {
        Scheduler scheduler = new StdSchedulerFactory().getScheduler();
        scheduler.start();

        Calendar cal = Calendar.getInstance();
        Date now = cal.getTime();
        cal.add(Calendar.YEAR, -3);
        Date someTimeAgo = cal.getTime();

        JobDetail jd = new JobDetail("jobname", "jobgroup", NoOpJob.class);
        Trigger trig = new SimpleTrigger("triggername", "triggergroup", SimpleTrigger.REPEAT_INDEFINITELY, 60 * 1000L);
        scheduler.scheduleJob(jd, trig);

        Date origNft = trig.getNextFireTime();

        trig.setStartTime(someTimeAgo);
        scheduler.rescheduleJob("triggername", "triggergroup", trig);
        trig.computeFirstFireTime(scheduler.getCalendar(trig.getCalendarName())); 
        System.out.println(origNft + " / " + trig.getNextFireTime() + " / " + trig.getFireTimeAfter(now));

        scheduler.shutdown();
    }

}