Certificate for #13372 ⟨a, b | aaaab=1, bbbbbb=1⟩

Completion settings:

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

Axiom: aaaab=1.

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

Axiom: bbbbbb=1.

Referenced by [3].

Overlap of [1] aaaab=1 with [2] bbbbbb=1:

Critical pair: aaaa=bbbbb.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [1] aaaab=1 with [3] bbbbb=aaaa:

Critical pair: aaaaaaaa=bbbb.

Flip LHS and RHS.

Referenced by [6].

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

Critical pair: baaaa=aaaab.

Reduce RHS:

Referenced by [6], [7], [8], [9].

Overlap of [4] bbbb=aaaaaaaa with [5] baaaa=1:

Critical pair: bbb=aaaaaaaaaaaa.

Referenced by [7].

Overlap of [6] bbb=aaaaaaaaaaaa with [5] baaaa=1:

Critical pair: bb=aaaaaaaaaaaaaaaa.

Referenced by [8].

Overlap of [7] bb=aaaaaaaaaaaaaaaa with [5] baaaa=1:

Critical pair: b=aaaaaaaaaaaaaaaaaaaa.

Defines rule #2.

Referenced by [9].

Overlap of [5] baaaa=1 with [8] b=aaaaaaaaaaaaaaaaaaaa:

Critical pair: aaaaaaaaaaaaaaaaaaaaaaaa=1.

Defines rule #1.