Certificate for #3698 ⟨a, b | abaaaaaaab=b⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: abaaaaaaab=b.

Referenced by [2], [3], [4], [5], [6], [7], [8], [9].

Overlap of [1] abaaaaaaab=b with [1] abaaaaaaab=b:

Critical pair: abaaaaaab=baaaaaaab.

Flip LHS and RHS.

Referenced by [3], [9], [10].

Overlap of [2] baaaaaaab=abaaaaaab with [1] abaaaaaaab=b:

Critical pair: baaaaaab=abaaaaaabaaaaaaab.

Reduce RHS:

Referenced by [4], [9], [10], [11].

Overlap of [3] baaaaaab=abaaaaab with [1] abaaaaaaab=b:

Critical pair: baaaaab=abaaaaabaaaaaaab.

Reduce RHS:

Referenced by [5], [9], [10], [11], [12].

Overlap of [4] baaaaab=abaaaab with [1] abaaaaaaab=b:

Critical pair: baaaab=abaaaabaaaaaaab.

Reduce RHS:

Referenced by [6], [9], [10], [11], [12], [13].

Overlap of [5] baaaab=abaaab with [1] abaaaaaaab=b:

Critical pair: baaab=abaaabaaaaaaab.

Reduce RHS:

Referenced by [7], [9], [10], [11], [12], [13], [14].

Overlap of [6] baaab=abaab with [1] abaaaaaaab=b:

Critical pair: baab=abaabaaaaaaab.

Reduce RHS:

Referenced by [8], [9], [10], [11], [12], [13], [14], [15].

Overlap of [7] baab=abab with [1] abaaaaaaab=b:

Critical pair: bab=ababaaaaaaab.

Reduce RHS:

Defines rule #1.

Referenced by [9], [10], [11], [12], [13], [14], [15].

Overlap of [1] abaaaaaaab=b with [2] baaaaaaab=abaaaaaab:

Critical pair: aabaaaaaab=b.

Reduce LHS:

Defines rule #8.

Simplify [2] baaaaaaab=abaaaaaab.

Reduce RHS:

Defines rule #7.

Simplify [3] baaaaaab=abaaaaab.

Reduce RHS:

Defines rule #6.

Simplify [4] baaaaab=abaaaab.

Reduce RHS:

Defines rule #5.

Simplify [5] baaaab=abaaab.

Reduce RHS:

Defines rule #4.

Simplify [6] baaab=abaab.

Reduce RHS:

Defines rule #3.

Simplify [7] baab=abab.

Reduce RHS:

Defines rule #2.