Certificate for #680 ⟨a, b, c | abc=1, aaaa=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], [7].

Axiom: aaaa=1.

Referenced by [3], [4].

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

Critical pair: aaa=bc.

Referenced by [4], [5].

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

Critical pair: bca=1.

Referenced by [6].

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

Critical pair: aa=bcbc.

Referenced by [6].

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

Critical pair: bcbcbc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [1] abc=1 with [6] a=bcbcbc:

Critical pair: bcbcbcbc=1.

Defines rule #1.