Certification Problem
Input (TPDB SRS_Standard/Zantema_04/z044)
The rewrite relation of the following TRS is considered.
|
c(a(b(a(x1)))) |
→ |
a(b(a(b(c(c(a(x1))))))) |
(1) |
Property / Task
Prove or disprove termination.Answer / Result
No.Proof (by AProVE @ termCOMP 2023)
1 Looping derivation
There is a looping derivation.
c a b a b a b a →+ a b a b c a b a b a b a b c c a b c c a
The derivation can be derived as follows.
-
c a b a →+ a b a b c c a:
This is an original rule (OC1).
-
c a b a b a →+ a b a b c a b a b c c a:
The overlap closure is obtained from the following two overlap closures (OC2).
-
c a b a →+ a b a b c c a
-
c a b a →+ a b a b c c a
-
c a b a b a →+ a b a b a b a b c c a b c c a:
The overlap closure is obtained from the following two overlap closures (OC3).
-
c a b a b a →+ a b a b c a b a b c c a
-
c a b a →+ a b a b c c a
-
c a b a b a b a →+ a b a b c a b a b a b a b c c a b c c a:
The overlap closure is obtained from the following two overlap closures (OC2).
-
c a b a →+ a b a b c c a
-
c a b a b a →+ a b a b a b a b c c a b c c a