Certificate for #14728 ⟨a, b | aabb=a, bbbbb=b⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aabb=a.

Referenced by [3], [4], [5], [6].

Axiom: bbbbb=b.

Defines rule #3.

Referenced by [3].

Overlap of [1] aabb=a with [2] bbbbb=b:

Critical pair: aab=abbb.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aabb=a with [3] abbb=aab:

Critical pair: aaab=ab.

Referenced by [5].

Overlap of [4] aaab=ab with [1] aabb=a:

Critical pair: aa=abb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [1] aabb=a with [5] abb=aa:

Critical pair: aaa=a.

Defines rule #1.