Certificate for #13175 ⟨a, b | aba=aab, bbb=ab

Completion settings:

[1] aba=aab

Axiom: aba=aab.

Referenced by [3].

[2] ab=bbb

Axiom: bbb=ab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3], [4].

[3] aba=bbbbb

Simplify [1] aba=aab.

Reduce RHS:

[2]a(ab)
[2](ab)bb
bbbbb

Referenced by [4].

[4] bbba=bbbbb

Overlap of [3] aba=bbbbb with [2] ab=bbb:

aba ab

Critical pair: bbba=bbbbb.

Defines rule #2.