Certificate for #5353 ⟨a, b, c | ab=a, bacb=b⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bacb=b

Axiom: bacb=b.

Defines rule #3.

Referenced by [3].

[3] aacb=a

Overlap of [1] ab=a with [2] bacb=b:

a b bacb

Critical pair: ab=aacb.

Reduce LHS:

[1](ab)
⇒ a

Flip LHS and RHS.

Defines rule #2.