A certified basis of 12 identities
This list of identities is a basis, proved in Lean, of [6, 2664], which generates the variety V[2664]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-fcfc43ded8867397 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- x³y ≈ x²y
- xyx ≈ xy²x
- xy² ≈ xy³
- x²yx ≈ x²y²
- x²yx ≈ xyx²
- x²yx ≈ yxyx
- xy²z ≈ xyz
- x²yz ≈ yxyz
- xyzx ≈ xzyx
- x²yzx ≈ x²yzy
- x²yzx ≈ x²yz²