Certificate for #5733 ⟨a, b, c | aa=b, bbb=cc⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] aaaaaa=cc

Axiom: bbb=cc.

Reduce LHS:

[1](b)bb
[1]⇒ aa(b)b
[1]⇒ aaaa(b)
⇒ aaaaaa

Defines rule #2.

Referenced by [3].

[3] cca=acc

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

a aaaaa aaaaaa

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #1.