Certificate for #18958 ⟨a, b | aab=a, bbbbbb=a

Completion settings:

[1] aab=a

Axiom: aab=a.

Referenced by [3].

[2] a=bbbbbb

Axiom: bbbbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=bbbbbb

Simplify [1] aab=a.

Reduce RHS:

[2](a)
bbbbbb

Referenced by [4].

[4] bbbbbbbbbbbbb=bbbbbb

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

aab a

Critical pair: bbbbbbab=bbbbbb.

Reduce LHS:

[2]bbbbbb(a)b
bbbbbbbbbbbbb

Defines rule #1.