A certified basis of 13 identities

This list of identities is a basis, proved in Lean, of 22 semigroups of order six, all of which generate the variety V[3553]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-82004e1a70949c68 in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ x³
2. x²yx ≈ xyx
3. xyx ≈ xyx²
4. x²y² ≈ xyxy
5. x²y² ≈ xy²x
6. x²yzy ≈ x²zy²
7. x²yzy ≈ xyxzy
8. x²yzy ≈ xyzyx
9. x²yzy ≈ xzyxy
10. x²yzy ≈ xzy²x
11. xyxzx ≈ xzxyx
12. xyxz² ≈ xzyxz
13. xyxz² ≈ xz²yx