Certificate for #18758 ⟨a, b | aaa=a, bbbbbb=a

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Referenced by [3].

[2] a=bbbbbb

Axiom: bbbbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aaa=bbbbbb

Simplify [1] aaa=a.

Reduce RHS:

[2](a)
bbbbbb

Referenced by [4].

[4] bbbbbbbbbbbbbbbbbb=bbbbbb

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

aaa a

Critical pair: bbbbbbaa=bbbbbb.

Reduce LHS:

[2]bbbbbb(a)a
[2]bbbbbbbbbbbb(a)
bbbbbbbbbbbbbbbbbb

Defines rule #1.