Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    app(app(app(comp,f),g),x)  → app(f,app(g,x))
2:    app(twice,f)  → app(app(comp,f),f)
There are 4 dependency pairs:
3:    APP(app(app(comp,f),g),x)  → APP(f,app(g,x))
4:    APP(app(app(comp,f),g),x)  → APP(g,x)
5:    APP(twice,f)  → APP(app(comp,f),f)
6:    APP(twice,f)  → APP(comp,f)
The approximated dependency graph contains one SCC: {3-5}.
Tyrolean Termination Tool  (0.01 seconds)   ---  May 3, 2006