Certificate for #5600 ⟨a, b | aaabba=aaabb⟩

Completion settings:

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

Axiom: aaabba=aaabb.

Referenced by [3].

Axiom: aaabb=c.

Defines rule #3.

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

Simplify [1] aaabba=aaabb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabba=c with [2] aaabb=c:

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

Overlap of [4] ca=c with [2] aaabb=c:

Critical pair: cc=caabb.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.