Certificate for #53 ⟨a, b, c | bc=ac, cc=1⟩

Completion settings:

[1] bc=ac

Axiom: bc=ac.

Referenced by [3].

[2] cc=1

Axiom: cc=1.

Defines rule #2.

Referenced by [3].

[3] b=a

Overlap of [1] bc=ac with [2] cc=1:

b c cc

Critical pair: b=acc.

Reduce RHS:

[2]a(cc)
⇒ a

Defines rule #1.