Certificate for #3501 ⟨a, b, c | bb=ac, aaa=c⟩

Completion settings:

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

Axiom: bb=ac.

Flip LHS and RHS.

Referenced by [3].

Axiom: aaa=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Overlap of [1] ac=bb with [2] c=aaa:

Critical pair: aaaa=bb.

Defines rule #2.

Referenced by [4].

Overlap of [3] aaaa=bb with [3] aaaa=bb:

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #1.