There is an election with three candidates: Lady Left (LL), Carrie Central (CC), and Robert Right (RR). The following are the outcomes in various two- and three-way races:

CC, 100%; RR, 0%

LL, 0%; CC, 100%

RR, 51%; LL, 49%

RR, 35%; LL, 33%; CC, 32%

The voting system is such that first there is a three-way race. Then, if none of the three candidates wins more than 50% of the votes, there is a two-way runoff election between the two candidates who won the most votes. Is this voting system consistent? Explain which property of consistency is violated, if any.