Structured treatment interruptions (STIs) may stimulate an anti-HIV immune response. Evidence suggests that IL-2, which increases CD4 counts, could also enhance specific immune responses to HIV. Enhanced immune responses could influence the magnitude of and the time to virologic rebound following treatment discontinuation. This study will compare the viral loads present after 12 weeks of an antiretroviral therapy (ART) interruption period between patients who have received different dosing regimens of IL-2 and have taken part in at least two STIs.