A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[3367]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-d956d4169893ce2f in the data of the bases-min seal.

Certified for

[6, 3367] [6, 3622] [6, 4008] [6, 4010] [6, 5921] [6, 6161] [6, 6163] [6, 6174]

The identities

x² ≈ x³
x²y ≈ xyx
x²y ≈ xy²
x²yz ≈ xyz