Certificate for #5413 ⟨a, b | abbbbba=abbb⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < c < b
• Auxiliary generators:
  1. abbb=c

Axiom: abbbbba=abbb.

Referenced by [3].

Axiom: abbb=c.

Defines rule #1.

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

Simplify [1] abbbbba=abbb.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbbbba=c with [2] abbb=c:

Critical pair: cbba=c.

Defines rule #2.

Referenced by [5].

Overlap of [4] cbba=c with [2] abbb=c:

Critical pair: cbbc=cbbb.

Flip LHS and RHS.

Defines rule #3.