What are the real dates that are represented in the figure 10, page 17, in the OpERA paper
Imo the X axis labels are inconclusive, or absent.
(in the investigation of a crime it is relevant the place and the time of the event).
The X axis there is not time, it's just six bins.
Each pair of bins is labeled by year, and can be assumed to represent all the data taken during that calendar year (or to-date in the case of 2011).
That's going to be multiple periods of "running" each year, with varying beam intensities and both regularly scheduled and unexpected beam stops during the running periods.
You can probably find the beam logs for the SPS with enough digging around CERN's websites (and possibly emailing).