Morphocompletion for #2918 ⟨a, b | aaabaababba=1⟩

Solved by morph:6/0,4/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. baaaabaaba ⇒ aaaabaabab
2. babbaaaa ⇒ aabaabab
3. aaaabaababb ⇒ 1
4. baaaabaabab ⇒ 1
5. baababba ⇒ abaababb
6. aabaabababaababb ⇒ babba
7. aabaababaabaababb ⇒ babbaa
8. aabaababaaabaababb ⇒ babbaaa
9. aabaababbbabba ⇒ baabababaababb
10. aabaababbbaababbbabba ⇒ baababbbaabababaababb
11. aabaababbbaababbbaababbbabba ⇒ baababbbaababbbaabababaababb
12. aabaababbbaababbbaababbbaababbbabba ⇒ baababbbaababbbaababbbaabababaababb
13. aabaababbbaababbbaababbbaababbbaababbbabba ⇒ baababbbaababbbaababbbaababbbaabababaababb
14. aabaababbbaababbbaababbbaababbbaababbbaababbbabba ⇒ baababbbaababbbaababbbaababbbaababbbaabababaababb
15. aabaababbbaababbbaababbbaababbbaababbbaababbbaababbbabba ⇒ baababbbaababbbaababbbaababbbaababbbaababbbaabababaababb
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] ba, [2/1] ab, [2/2] aa, [2/3] bb
Length 3:[3/0] aab, [3/1] aba, [3/2] bab, [3/3] baa
Length 4:[4/0] aaba, [4/1] babb, [4/2] baab, [4/3] abab
Length 5:[5/0] baaba, [5/1] aabab, [5/2] ababb, [5/3] babbb
Length 6:[6/0] baabab, [6/1] aababb, [6/2] babbba, [6/3] ababbb

Considering [length 6 / frequency 0] baabab=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. aaaacb ⇒ 1
2. cba ⇒ acb
3. baaaac ⇒ 1
4. aacc ⇒ bab
5. aaacaac ⇒ bbaaaa
6. caaaac ⇒ baaba
7. baabab ⇒ c
8. babbaaaa ⇒ aac
9. aacacb ⇒ babba
10. aacaacb ⇒ babbaa
11. aacaaacb ⇒ babbaaa
12. baabac ⇒ caabab
13. aacbbab ⇒ cc
14. acbbbaaaa ⇒ caac
15. aacbbac ⇒ ccaabab
16. aacbcc ⇒ cbbab
17. aacbcbbab ⇒ cbcc
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] aa, [2/1] ac, [2/2] ba, [2/3] cb, [2/4] ab, [2/5] bb, [2/6] ca
Length 3:[3/0] aac, [3/1] aaa, [3/2] acb, [3/3] bab, [3/4] baa, [3/5] bba, [3/6] caa
Length 4:[4/0] aacb, [4/1] aaac, [4/2] aaaa, [4/3] aaca, [4/4] acbb, [4/5] bbab, [4/6] baab
Length 5:[5/0] aaaac, [5/1] baaaa, [5/2] aacaa, [5/3] cbbab, [5/4] aacbc, [5/5] aacbb, [5/6] aaacb

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

Step 3

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