Certificate for #5446 ⟨a, b, c | ab=a, cbbc=a⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cbbc=a

Axiom: cbbc=a.

Defines rule #3.

Referenced by [3].

[3] ac=cbba

Overlap of [2] cbbc=a with [2] cbbc=a:

cbb c cbbc

Critical pair: cbba=abbc.

Reduce RHS:

[1](ab)bc
[1]⇒ (ab)c
⇒ ac

Flip LHS and RHS.

Defines rule #2.