The paper you linked by Fama and French doesn't support this assertion. In fact, it's incorrect, and the paper admits that there are outliers (however few) with consistent superior performance.
From 1994 to 2014, Renaissance Technologies averaged a 71% return. From 1982 to 2012, Baupost averaged a 19% return. In the same time period the S&P 500 returned 7-8%. Even after fees, these managers easily beat the average for their clients.
It's tempting to claim that there is no such thing as beating the market, especially if that belief aligns well with a corresponding set of political beliefs about Wall St. But it is inarguable that funds and managers like these exist, it's just a matter of admitting that it's extraordinarily difficult instead of impossible.