Abstract
The Le Bars conjecture (2001) states that the binomial random graph G(n, $$\frac{1}{2}$$ ) obeys the zero–one law for existential monadic sentences with two first-order variables. This conjecture is disproved. Moreover, it is proved that there exists an existential monadic sentence with a single monadic variable and two first-order variables whose truth probability does not converge.
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