SemiBase

A certified basis of 12 identities

This list of identities is a basis, proved in Lean, of [6, 11395], which generates the variety V[11395]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-91978aecb5e1c69c in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁴
  2. x³yx ≈ xyx
  3. xyx ≈ xyx³
  4. xyxy ≈ xy²x
  5. x³y² ≈ xyx²y
  6. xyxy² ≈ xy³x
  7. xyx²zx ≈ xyzx
  8. xyzxy ≈ xyzyx
  9. xyzxz ≈ xyz²x
  10. x³yzy ≈ xyx²zy
  11. xyx²z² ≈ xyzx²z
  12. xyztxz ≈ xyztzx