Certificate for #15671 ⟨a, b | aab=ab, bbbbb=a

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Referenced by [3].

[2] a=bbbbb

Axiom: bbbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=bbbbbb

Simplify [1] aab=ab.

Reduce RHS:

[2](a)b
bbbbbb

Referenced by [4].

[4] bbbbbbbbbbb=bbbbbb

Overlap of [3] aab=bbbbbb with [2] a=bbbbb:

aab a

Critical pair: bbbbbab=bbbbbb.

Reduce LHS:

[2]bbbbb(a)b
bbbbbbbbbbb

Defines rule #1.