A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of [6, 5352], which generates the variety V[5352]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-60d8d8ca6b0e31af in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. xyx ≈ yx²
3. x³y³ ≈ x²y³x
4. xyz ≈ yxz