Certificate for #5914 ⟨a, b, c | ab=a, caa=cc⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] caa=cc

Axiom: caa=cc.

Defines rule #2.

Referenced by [3].

[3] ccb=cc

Overlap of [2] caa=cc with [1] ab=a:

ca a ab

Critical pair: caa=ccb.

Reduce LHS:

[2](caa)
⇒ cc

Flip LHS and RHS.

Defines rule #3.