Core CPI, stripping out food and energy, rose 0.2 percent for the month and 2.5 percent year over year, also down 0.1 point and also exactly in line with the Dow Jones consensus. The sharp burst that followed the Iran conflict escalation in April and May, which drove oil above $79 a barrel and pushed annual inflation from 2.8 percent in March to 3.8 percent in May, is easing. Shelter remained the stubbornest component, accounting for roughly two-thirds of the headline monthly increase despite rising only 0.1 percent, held back by a 2.8 percent decline in lodging away from home.