Certificate for #3050 ⟨a, b, c | aba=c, acb=c⟩

Completion settings:

[1] c=aba

Axiom: aba=c.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aabab=aba

Axiom: acb=c.

Reduce LHS:

[1]a(c)b
⇒ aabab

Reduce RHS:

[1](c)
⇒ aba

Defines rule #1.