Certificate for #2998 ⟨a, b, c | aab=c, cac=c⟩

Completion settings:

[1] c=aab

Axiom: aab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aabaaab=aab

Axiom: cac=c.

Reduce LHS:

[1](c)ac
[1]⇒ aaba(c)
⇒ aabaaab

Reduce RHS:

[1](c)
⇒ aab

Defines rule #1.