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