SemiBase

A certified basis of 9 identities

This list of identities is a basis, proved in Lean, of [6, 13527], which generates the variety V[13527]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-79049afe63295375 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. x²yzy ≈ xyzxy
  6. x²yz² ≈ xyzxz
  7. xy²zx ≈ xyzyx
  8. x²yztz ≈ xyztxz
  9. xyz²tx ≈ xyztzx