SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 5369], which generates the variety V[5369]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-f8e00452f90376cb in the data of the bases-min seal.

Certified for

The identities

  1. x²y ≈ xyx
  2. x³y ≈ x²y²
  3. x³y ≈ xy³
  4. x⁵ ≈ x⁴y
  5. xyz ≈ xzy
  6. x²yz ≈ xy²z
  7. x⁵ ≈ x²yzt
  8. x⁵ ≈ xyztu