Certificate for #6046 ⟨a, b, c | ab=c, acb=cc⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aabb=abab

Axiom: acb=cc.

Reduce LHS:

[1]a(c)b
⇒ aabb

Reduce RHS:

[1](c)c
[1]⇒ ab(c)
⇒ abab

Defines rule #1.