If there is an increase in the price of oil, then: unemployment rises. If the central bank tries to counter this increase, inflation rises
When the prices of oil increased, the demand for the product will be decreased. This will force companies to let go of their workers, causing increase in unemployment.
If bank try to counter this (such as by giving loans to those struggling companies), the situation will not be change and the market will believe it can handle the increasee in price, which will increase the rate of inflation.