Certificate for #22833 ⟨a, b | aaa=1, baabb=abb⟩

Completion settings:

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

Axiom: aaa=1.

Defines rule #2.

Referenced by [6].

Axiom: baabb=abb.

Referenced by [4].

Axiom: abb=c.

Defines rule #4.

Referenced by [4], [5], [6], [7].

Simplify [2] baabb=abb.

Reduce RHS:

Referenced by [5].

Overlap of [4] baabb=c with [3] abb=c:

Critical pair: bac=c.

Defines rule #5.

Referenced by [7].

Overlap of [1] aaa=1 with [3] abb=c:

Critical pair: aac=bb.

Defines rule #1.

Overlap of [3] abb=c with [5] bac=c:

Critical pair: abc=cac.

Defines rule #3.