A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[12949]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-2c4edf14267dbd54 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. xyx ≈ xy²x
3. xyx ≈ xyxyx
4. x²y² ≈ x²y²x²y²
5. xyxzx ≈ xzxyx
6. x²y²x²y²z ≈ x²y²x²z
7. xy²z²y² ≈ xz²y²z²y²