Certificate for #5005 ⟨a, b, c | ab=c, aacbc=1⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aaabbab=1

Axiom: aacbc=1.

Reduce LHS:

[1]aa(c)bc
[1]⇒ aaabb(c)
⇒ aaabbab

Defines rule #1.