Certificate for #245 ⟨a, b | aa=a, bbb=a

Completion settings:

[1] aa=a

Axiom: aa=a.

Referenced by [3].

[2] a=bbb

Axiom: bbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aa=bbb

Simplify [1] aa=a.

Reduce RHS:

[2](a)
bbb

Referenced by [4].

[4] bbbbbb=bbb

Overlap of [3] aa=bbb with [2] a=bbb:

aa a

Critical pair: bbba=bbb.

Reduce LHS:

[2]bbb(a)
bbbbbb

Defines rule #1.