Certificate for #3401 ⟨a, b, c | ac=ab, bbc=a⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Referenced by [3].

[2] a=bbc

Axiom: bbc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] ac=bbcb

Simplify [1] ac=ab.

Reduce RHS:

[2](a)b
⇒ bbcb

Referenced by [4].

[4] bbcc=bbcb

Overlap of [3] ac=bbcb with [2] a=bbc:

ac a

Critical pair: bbcc=bbcb.

Defines rule #1.