A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[12952]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-2d5520c95c13d19f in the data of the bases-min seal.

Certified for

[6, 12952] [6, 12954] [6, 13404]

The identities

x² ≈ x³
xyx ≈ xy²x
xyx ≈ xyxyx
xyxzx ≈ xzxyx
xy²z²y² ≈ xz²y²z²y²