A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 12 semigroups of order six, all of which generate the variety V[2850]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-96461627f0398b75 in the data of the bases-min seal.

Certified for

[6, 2850] [6, 2851] [6, 2870] [6, 2879] [6, 2888] [6, 2889] [6, 5422] [6, 5425] [6, 5499] [6, 5510] [6, 5873] [6, 5880]

The identities

x³ ≈ x⁵
xy ≈ yx
x⁴y ≈ x²y