Certificate for #5685 ⟨a, b, c | aa=b, abb=cc⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] aaaaa=cc

Axiom: abb=cc.

Reduce LHS:

[1]a(b)b
[1]⇒ aaa(b)
⇒ aaaaa

Defines rule #2.

Referenced by [3].

[3] cca=acc

Overlap of [2] aaaaa=cc with [2] aaaaa=cc:

a aaaa aaaaa

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #1.