Morphocompletion for #2228 ⟨a, b, c | aabc=1, cbac=1⟩

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

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. acc ⇒ caa
2. aab ⇒ cba
3. abc ⇒ ccb
4. bca ⇒ ccb
5. bac ⇒ cba
6. ccba ⇒ 1
7. bcaa ⇒ 1
8. aacba ⇒ cbaac
9. aaacc ⇒ aacaa
10. bcccb ⇒ ccbbc
11. bccaa ⇒ ccbcc
12. baacc ⇒ cbaaa
13. ccbccb ⇒ bc
14. ccbcba ⇒ ab
15. ccbccccb ⇒ bcca
...

Collecting factors up to length 4 / frequency 2:

[2/0]cc21lf:14,lp:4,ls:3,rf:6,rp:4,rs:1,a:8
[2/1]bc13lf:8,lp:4,ls:1,rf:4,rp:2,rs:2,re:1,lprs:1,a:20
[3/0]ccb14lf:7,lp:4,ls:3,rf:4,rp:4,rs:2,re:2,lsrp:1,a:19
[3/1]bcc6lf:4,lp:2,rf:2,rp:1,rs:1,lprs:1,a:28

Considering [length 3 / frequency 0] ccb=d.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. ad ⇒ 1
2. da ⇒ 1
3. dd ⇒ bc
4. ccb ⇒ d
5. acc ⇒ caa
6. aab ⇒ cba
7. abc ⇒ d
8. bca ⇒ d
9. bac ⇒ cba
10. dca ⇒ ccd
11. dcb ⇒ abd
12. dbc ⇒ bcd
13. accd ⇒ ca
14. dccd ⇒ bcca
15. caacb ⇒ acd
16. aacba ⇒ cbaac
17. bccaa ⇒ dcc
...

Collecting factors up to length 4 / frequency 3:

[2/0]bc8lf:4,lp:2,ls:2,rf:3,rp:3,rs:1,re:1,lsrp:10,a:8
[2/1]ac8lf:5,lp:2,ls:1,rf:2,rp:1,rs:1,a:3
[2/2]aa7lf:4,lp:2,ls:1,rf:2,rs:1,a:7
[3/0]caa4lf:2,lp:1,ls:1,rf:1,rp:1,rs:1,re:1,a:20
[3/1]ccd4lf:2,ls:2,rf:1,rp:1,rs:1,re:1,a:15
[3/2]aac3lf:2,lp:1,rf:1,rs:1,lprs:1,a:17

Considering [length 3 / frequency 0] caa=e.

Step 3

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. ad ⇒ 1
2. be ⇒ 1
3. eb ⇒ 1
4. ed ⇒ ca
5. da ⇒ 1
6. de ⇒ cc
7. dd ⇒ bc
8. ccb ⇒ d
9. caa ⇒ e
10. acc ⇒ e
11. aab ⇒ cba
12. abc ⇒ d
13. abe ⇒ a
14. bca ⇒ d
15. bac ⇒ cba
16. ecc ⇒ cae
...

Collecting factors up to length 4 / frequency 3:

[2/0]ab6lf:3,lp:2,ls:1,a:9
[2/1]cc6lf:3,lp:1,ls:2,rf:1,rp:1,rs:1,re:1,a:2
[2/2]bc4lf:2,lp:1,ls:1,rf:1,rp:1,rs:1,re:1,a:12
[3/0]cba0rf:2,rp:2,rs:2,re:2,a:4
[3/1]cae0rf:1,rp:1,rs:1,re:1,a:27

Considering [length 3 / frequency 0] cba=f.

Step 4

Rewriting system is complete. See ⟨a, b, c | aabc=1, cbac=1⟩.