A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[12958]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-304040997e509bae in the data of the bases-min seal.

Certified for

The identities

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