Certificate for #6028 ⟨a, b, c | ab=c, abc=bc⟩

Completion settings:

[1] ab=c

Axiom: ab=c.

Defines rule #1.

Referenced by [2], [3].

[2] bc=cc

Axiom: abc=bc.

Reduce LHS:

[1](ab)c
⇒ cc

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] acc=cc

Overlap of [1] ab=c with [2] bc=cc:

a b bc

Critical pair: acc=cc.

Defines rule #3.