Certificate for #2550 ⟨a, b | aabbba=aabb

Completion settings:

[1] aabbba=aabb

Axiom: aabbba=aabb.

Referenced by [3].

[2] aabb=c

Axiom: aabb=c.

Defines rule #2.

Referenced by [3], [4], [5].

[3] aabbba=c

Simplify [1] aabbba=aabb.

Reduce RHS:

[2](aabb)
c

Referenced by [4].

[4] cba=c

Overlap of [3] aabbba=c with [2] aabb=c:

aabbba aabb

Critical pair: cba=c.

Defines rule #1.

Referenced by [5].

[5] cabb=cbc

Overlap of [4] cba=c with [2] aabb=c:

cb a aabb

Critical pair: cbc=cabb.

Flip LHS and RHS.

Defines rule #3.