Product of two Kochergin flows with different exponents is not standard

We study the standard(zero entropy loosely Bernoulli or loosely Kronecker) property for products of Kochergin smooth flows on 𝕋^2 with one singularity. These flows can be represented as special flows over irrational rotations of the circle and under roof functions which are smooth on 𝕋^2∖{0} with a singularity at 0. We show that there exists a full measure set 𝒟⊂𝕋 such that the product system of two Kochergin flows with different power of singularities and rotations from 𝒟 is not standard.