Certificate for #5320 ⟨a, b, c | ab=a, acac=c⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Axiom: acac=c.

Referenced by [3], [4].

Overlap of [2] acac=c with [2] acac=c:

Critical pair: acc=cac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [2] acac=c with [3] cac=acc:

Critical pair: aacc=c.

Defines rule #3.