Certificate for #2539 ⟨a, b, c | aab=c, cacb=1⟩

Completion settings:

[1] c=aab

Axiom: aab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aabaaabb=1

Axiom: cacb=1.

Reduce LHS:

[1](c)acb
[1]⇒ aaba(c)b
⇒ aabaaabb

Defines rule #1.