Term Rewriting System R:
[x]
f(f(a, a), x) -> f(f(x, a), f(a, f(a, a)))
Termination of R to be shown.
R
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
F(f(a, a), x) -> F(f(x, a), f(a, f(a, a)))
F(f(a, a), x) -> F(x, a)
F(f(a, a), x) -> F(a, f(a, a))
Furthermore, R contains one SCC.
R
↳DPs
→DP Problem 1
↳Remaining Obligation(s)
The following remains to be proven:
Dependency Pairs:
F(f(a, a), x) -> F(x, a)
F(f(a, a), x) -> F(f(x, a), f(a, f(a, a)))
Rule:
f(f(a, a), x) -> f(f(x, a), f(a, f(a, a)))
Termination of R could not be shown.
Duration:
0:00 minutes