Certificate for #2004 ⟨a, b, c | abc=bc, ccc=1⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: abc=bc.

Referenced by [3].

Axiom: ccc=1.

Defines rule #2.

Referenced by [3].

Overlap of [1] abc=bc with [2] ccc=1:

Critical pair: ab=bccc.

Reduce RHS:

Defines rule #1.