Certificate for #3979 ⟨a, b, c | abc=1, aaaaa=1⟩

Completion settings:

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

Axiom: abc=1.

Referenced by [3], [5], [8].

Axiom: aaaaa=1.

Referenced by [3], [4].

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

Critical pair: aaaa=bc.

Referenced by [4], [5].

Overlap of [2] aaaaa=1 with [3] aaaa=bc:

Critical pair: bca=1.

Referenced by [6], [7].

Overlap of [3] aaaa=bc with [1] abc=1:

Critical pair: aaa=bcbc.

Referenced by [6].

Overlap of [4] bca=1 with [5] aaa=bcbc:

Critical pair: bcbcbc=aa.

Flip LHS and RHS.

Referenced by [7].

Overlap of [4] bca=1 with [6] aa=bcbcbc:

Critical pair: bcbcbcbc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [8].

Overlap of [1] abc=1 with [7] a=bcbcbcbc:

Critical pair: bcbcbcbcbc=1.

Defines rule #1.