Text: By 1968, that annus horribilis when Johnson cracked from the pressure of mediating an increasingly centripetal Democratic Party and Kennedy fell to an assassin's bullet, two political ideal-types had  a silent majority who supported Johnson's war on Vietnam and voted in Richard Nixon, and a new class of liberal professionals and youth who supported Johnson's war on poverty but detested everything Richard Nixon represented.
Entailment: Some people supported Johnson and voted in Nixon.
Contradiction: No one supported Johnson or  voted in Nixon.