Generic initial ideals of some monomial complete intersections in four variables

Let R = K[x1, x2, x3, x4] be the polynomial ring over a field of characteristic zero. For the ideal $${(x_1^a, x_2^b, x_3^c, x_4^d) \subset R}$$, where at least one of a, b, c and d is equal to two, we prove that its generic initial ideal with respect to the reverse lexicographic order is the almost revlex ideal corresponding to the same Hilbert function.