Certificate for #2755 ⟨a, b, c | abc=b, aaaa=1⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = deg(b) = 0, a < b; deg(c) = 1

Axiom: abc=b.

Referenced by [3].

Axiom: aaaa=1.

Defines rule #1.

Referenced by [3].

Overlap of [2] aaaa=1 with [1] abc=b:

Critical pair: aaab=bc.

Flip LHS and RHS.

Defines rule #2.