Certificate for #4195 ⟨a, b, c | aab=1, acaa=c⟩

Completion settings:

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

Axiom: aab=1.

Defines rule #2.

Referenced by [3], [4].

Axiom: acaa=c.

Defines rule #4.

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

Overlap of [2] acaa=c with [1] aab=1:

Critical pair: ac=cb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] acaa=c with [1] aab=1:

Critical pair: aca=cab.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: acac=ccaa.

Flip LHS and RHS.

Defines rule #5.