Certificate for #2849 ⟨a, b, c | aaa=b, cac=b⟩

Completion settings:

[1] b=aaa

Axiom: aaa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] cac=aaa

Axiom: cac=b.

Reduce RHS:

[1](b)
⇒ aaa

Defines rule #1.

Referenced by [3].

[3] caaaa=aaaac

Overlap of [2] cac=aaa with [2] cac=aaa:

ca c cac

Critical pair: caaaa=aaaac.

Defines rule #2.