SemiBase

A certified basis of 12 identities

This list of identities is a basis, proved in Lean, of [6, 9386], which generates the variety V[9386]. Removing the identities that follow from the others leaves 11 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-d345633e1669ba0b in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁵
  2. x²y ≈ yx²
  3. x²y² ≈ xyxy
  4. x²yzy ≈ xyxzy
  5. x²yzy ≈ yzxyx
  6. xyzxy ≈ xyzyx
  7. xyzxy ≈ yxzxy
  8. xyxzx ≈ xyxzx³
  9. xyxztz ≈ xyzxtz
  10. xyxztz ≈ xyzxtz
  11. xyzxty ≈ yxzxty
  12. xyztxz ≈ xyztzx