Certificate for #5204 ⟨a, b, c | aa=b, acbb=c⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] acaaaa=c

Axiom: acbb=c.

Reduce LHS:

[1]ac(b)b
[1]⇒ acaa(b)
⇒ acaaaa

Defines rule #1.

Referenced by [3].

[3] ccaaaa=acaaac

Overlap of [2] acaaaa=c with [2] acaaaa=c:

acaaa a acaaaa

Critical pair: acaaac=ccaaaa.

Flip LHS and RHS.

Defines rule #2.