Certificate for #5551 ⟨a, b, c | ab=c, accc=a⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aababab=a

Axiom: accc=a.

Reduce LHS:

[1]a(c)cc
[1]⇒ aab(c)c
[1]⇒ aabab(c)
⇒ aababab

Defines rule #1.