Morphocompletion for #2992 ⟨a, b | aaabbbbaaab=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. aaabaaabbbb ⇒ 1
3. aaabbbabaaabbbb ⇒ bbba
4. aaabaaabaaabbb ⇒ aaa
5. aaabbaaabaaabbb ⇒ aaab
6. aaaaaabaaaaaabbbbbbbbbb ⇒ aaabbaaabbbb
7. aaaaaabaaabbaaabbbbbb ⇒ aaabaaabbb
8. aaabbaaabaaaaaabbb ⇒ aaaaaabaaabbaaabbb
9. aaabbaaabaaabbaaabbb ⇒ aaaaaabbb
10. aaabbaaabaaabbaaaaaabbb ⇒ aaaaaaaaabbb
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] aa, [2/1] bb, [2/2] ab, [2/3] ba
Length 3:[3/0] aaa, [3/1] bbb, [3/2] aab, [3/3] baa
Length 4:[4/0] aaab, [4/1] baaa, [4/2] aaaa, [4/3] aabb
Length 5:[5/0] aaabb, [5/1] aabbb, [5/2] baaab, [5/3] aaaaa
Length 6:[6/0] aaabbb, [6/1] aaabaa, [6/2] aaabba, [6/3] aabaaa

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

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. bbbc ⇒ cbbb
2. bbbcb ⇒ cbbbb
3. cbcbbbb ⇒ 1
4. bcbcbb ⇒ cbcbbb
5. bbcbc ⇒ cbcbb
6. ac ⇒ ca
7. cbccbbbbbb ⇒ bbc
8. cbcbc ⇒ ccbcb
9. cbcbcb ⇒ ccbcbb
10. cbcbbcbbb ⇒ bc
11. bcbccbbb ⇒ c
12. bbbccbcbb ⇒ cb
13. cabcbbbb ⇒ a
14. aaa ⇒ c
15. ccbcbbcbbbb ⇒ cbcb
16. caabcbbbb ⇒ aa
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] bb, [2/1] cb, [2/2] bc, [2/3] aa, [2/4] cc, [2/5] ca, [2/6] ab
Length 3:[3/0] bbb, [3/1] bcb, [3/2] cbc, [3/3] cbb, [3/4] bbc, [3/5] ccb, [3/6] bcc
Length 4:[4/0] cbcb, [4/1] bbbb, [4/2] bcbb, [4/3] bcbc, [4/4] cbbb, [4/5] bbcb, [4/6] bbbc
Length 5:[5/0] cbcbb, [5/1] cbbbb, [5/2] bcbbb, [5/3] bcbcb, [5/4] cbccb, [5/5] ccbcb, [5/6] ccbbb

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

Step 3

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