Morphocompletion for #7413 ⟨a, b, c | ab=1, acac=ca⟩

Solved by morph:2/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. acca ⇒ caac
2. acac ⇒ ca
3. acccaa ⇒ ccaaac
4. aaccca ⇒ caaacc
5. cacaacc ⇒ accca
6. acccacaa ⇒ ccacaaac
7. aaccccaa ⇒ ccaaaacc
8. aaacccca ⇒ caaaaccc
9. ccaacaacc ⇒ acccaca
10. cacaaaccc ⇒ aacccca
11. accccaaac ⇒ cccaaaacc
12. ccacaacaacc ⇒ accccaa
13. ab ⇒ 1
14. caacb ⇒ acc
15. caaacb ⇒ acaacc
16. caaaacb ⇒ acaacaacc
17. caaaccb ⇒ aaccc
18. caaaaccb ⇒ acaaaccc
19. caacaaccb ⇒ acaaccc
20. caaaacccb ⇒ aaacccc
...

Collecting factors up to length 4 / frequency 7:

[2/0]ca38lf:26,lp:9,ls:3,rf:19,rp:4,rs:4,re:1,lsrp:3,lprs:2,a:1
[2/1]aa38lf:32,lp:3,ls:3,rf:27,rp:3,rs:1,a:2
[2/2]ac35lf:28,lp:5,ls:2,rf:25,rp:8,rs:3,lprs:3,a:1
[2/3]cc34lf:28,lp:2,ls:4,rf:32,rp:4,rs:11,a:2
[2/4]cb14lf:7,ls:7,a:3
[3/0]caa28lf:18,lp:7,ls:3,rf:13,rp:3,rs:1,a:2
[3/1]acc22lf:15,lp:4,ls:3,rf:15,rp:4,rs:6,re:1,lsrp:3,lprs:1,a:2
[3/2]aac21lf:18,lp:2,ls:1,rf:15,rp:2,rs:3,a:2
[3/3]cca14lf:9,lp:2,ls:3,rf:8,rp:3,rs:2,a:2
[3/4]ccc12lf:11,ls:1,rf:13,rp:1,rs:5,a:4
[3/5]aaa12lf:11,lp:1,rf:11,rp:1,a:6
[3/6]aca9lf:8,lp:1,rf:7,rp:4,rs:1,a:1

Considering [length 2 / frequency 0] ca=d.

Step 2

Rewriting system is complete. See ⟨a, b, c | ab=1, acac=ca⟩.