Certificate for #5050 ⟨a, b, c | ab=c, acccb=1⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aabababb=1

Axiom: acccb=1.

Reduce LHS:

[1]a(c)ccb
[1]⇒ aab(c)cb
[1]⇒ aabab(c)b
⇒ aabababb

Defines rule #1.