Certificate for #5773 ⟨a, b, c | aa=b, ccc=bb⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] aaaa=ccc

Axiom: ccc=bb.

Reduce RHS:

[1](b)b
[1]⇒ aa(b)
⇒ aaaa

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[3] ccca=accc

Overlap of [2] aaaa=ccc with [2] aaaa=ccc:

a aaa aaaa

Critical pair: accc=ccca.

Flip LHS and RHS.

Defines rule #2.