Pressure integrity testing system

An annular barrier system for proving testable annular barriers arranged between a first metal casing or borehole and a fixed second metal casing being fixed within the borehole, the second metal casing having an outer face, the annular barrier system comprising:

• a first annular barrier and a second annular barrier, each barrier comprising:
• a tubular part made of metal extending in a longitudinal direction for mounting as part of the fixed second metal casing,
• an expandable metal sleeve surrounding and being connected with the tubular part and defining an annular barrier space, and
• a first fluid passage in the tubular part for letting fluid into the annular barrier space to expand the sleeve, and
• the annular barrier system further comprising a sensor arranged in connection with the tubular part, and when the expandable sleeves are expanded to abut the first metal casing or borehole, a first annular space is defined between the annular barriers, wherein the sensor is arranged to determine a condition of the first annular space in order to test the isolation ability of at least one of the annular barriers.