Certificate for #4212 ⟨a, b | aaaaa=1, abbbb=1⟩

Completion settings:

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

Axiom: aaaaa=1.

Referenced by [3].

Axiom: abbbb=1.

Referenced by [3], [4], [5], [6], [7].

Overlap of [1] aaaaa=1 with [2] abbbb=1:

Critical pair: aaaa=bbbb.

Referenced by [4].

Overlap of [3] aaaa=bbbb with [2] abbbb=1:

Critical pair: aaa=bbbbbbbb.

Referenced by [5].

Overlap of [4] aaa=bbbbbbbb with [2] abbbb=1:

Critical pair: aa=bbbbbbbbbbbb.

Referenced by [6].

Overlap of [5] aa=bbbbbbbbbbbb with [2] abbbb=1:

Critical pair: a=bbbbbbbbbbbbbbbb.

Defines rule #2.

Referenced by [7].

Overlap of [2] abbbb=1 with [6] a=bbbbbbbbbbbbbbbb:

Critical pair: bbbbbbbbbbbbbbbbbbbb=1.

Defines rule #1.