Certificate for #3466 ⟨a, b, c | ba=ac, bbc=a⟩

Completion settings:

[1] ba=ac

Axiom: ba=ac.

Referenced by [3].

[2] a=bbc

Axiom: bbc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] ba=bbcc

Simplify [1] ba=ac.

Reduce RHS:

[2](a)c
⇒ bbcc

Referenced by [4].

[4] bbcc=bbbc

Overlap of [3] ba=bbcc with [2] a=bbc:

b a a

Critical pair: bbbc=bbcc.

Flip LHS and RHS.

Defines rule #1.