Certificate for #4882 ⟨a, b | abbbaaab=baa⟩

Completion settings:

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

Axiom: abbbaaab=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #4.

Referenced by [3], [4], [5], [6].

Simplify [1] abbbaaab=baa.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbbaaab=c with [2] baa=c:

Critical pair: abbcab=c.

Defines rule #3.

Referenced by [5], [6], [7].

Overlap of [2] baa=c with [4] abbcab=c:

Critical pair: bac=cbbcab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] abbcab=c with [2] baa=c:

Critical pair: abbcac=caa.

Flip LHS and RHS.

Defines rule #5.

Overlap of [4] abbcab=c with [4] abbcab=c:

Critical pair: abbcc=cbcab.

Flip LHS and RHS.

Defines rule #1.