Certificate for #1047 ⟨a, b, c | ab=c, cac=c⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] abaab=ab

Axiom: cac=c.

Reduce LHS:

[1](c)ac
[1]⇒ aba(c)
⇒ abaab

Reduce RHS:

[1](c)
⇒ ab

Defines rule #1.