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[9112]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-c9fdddc6bd162d28 in the data of the bases-min seal.

Certified for

[6, 9112] [6, 9115] [6, 9116] [6, 9119] [6, 11931] [6, 11936] [6, 14986] [6, 14987]

The identities

xy ≈ yx
x⁷y ≈ xy
xy ≈ xy⁷
xy ≈ xyxyxyxyxyxyxy