Morphocompletion for #2991 ⟨a, b | aaabbbabbba=1⟩

Solved by morph:3/0,4/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. bbbaaa ⇒ aaabbb
2. aaaabbbabbb ⇒ 1
3. bbbabbba ⇒ abbbabbb
4. aaabbbaabbbabbb ⇒ bbba
5. aaabbbaaabbbabbb ⇒ bbbaa
6. abbbabbbbbba ⇒ bbbaabbbabbb
7. abbbabbbbbbbbba ⇒ bbbbbbaabbbabbb
8. abbbabbbbbbbbbbbba ⇒ bbbbbbbbbaabbbabbb
9. abbbabbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbaabbbabbb
10. abbbabbbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbaabbbabbb
11. abbbabbbbbbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbbbbaabbbabbb
12. abbbabbbbbbbbbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbbbbbbbaabbbabbb
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] bb, [2/1] ba, [2/2] ab, [2/3] aa
Length 3:[3/0] bbb, [3/1] bba, [3/2] abb, [3/3] bab
Length 4:[4/0] bbbb, [4/1] abbb, [4/2] bbba, [4/3] bbab
Length 5:[5/0] bbbbb, [5/1] abbba, [5/2] bbbba, [5/3] babbb
Length 6:[6/0] bbbbbb, [6/1] abbbab, [6/2] bbbbba, [6/3] bbabbb

Considering [length 3 / frequency 0] bbb=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. caaa ⇒ aaac
2. aaaacac ⇒ 1
3. caca ⇒ acac
4. cb ⇒ bc
5. aaacaacac ⇒ ca
6. aaacaaacac ⇒ caa
7. acacca ⇒ caacac
8. caccaa ⇒ aaccac
9. aaaacabc ⇒ b
10. aaaacabaaac ⇒ baaa
11. bbb ⇒ c
12. aaaccaacac ⇒ cca
13. acaccca ⇒ ccaacac
14. aaacaacabc ⇒ cab
15. aaaacabbc ⇒ bb
16. acacccca ⇒ cccaacac
17. acaccccca ⇒ ccccaacac
18. acacccccca ⇒ cccccaacac
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] aa, [2/1] ac, [2/2] ca, [2/3] cc, [2/4] bc, [2/5] bb, [2/6] ab
Length 3:[3/0] aaa, [3/1] aca, [3/2] cac, [3/3] aac, [3/4] cca, [3/5] ccc, [3/6] caa
Length 4:[4/0] acac, [4/1] aaac, [4/2] aaca, [4/3] ccca, [4/4] aaaa, [4/5] cacc, [4/6] cccc
Length 5:[5/0] aaaca, [5/1] acacc, [5/2] aacac, [5/3] aaaac, [5/4] cccca, [5/5] caccc, [5/6] acabc

Considering [length 4 / frequency 0] acac=d.

Step 3

Rewriting system is complete. See a, b | aaabbbabbba=1⟩.