Certificate for #6112 ⟨a, b, c | ab=c, ccc=cc⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] ababab=abab

Axiom: ccc=cc.

Reduce LHS:

[1](c)cc
[1]⇒ ab(c)c
[1]⇒ abab(c)
⇒ ababab

Reduce RHS:

[1](c)c
[1]⇒ ab(c)
⇒ abab

Defines rule #1.