Term Rewriting System R:
[x]
s1(s1(s0(s0(x)))) -> s0(s0(s0(s1(s1(s1(x))))))

Innermost Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

S1(s1(s0(s0(x)))) -> S1(s1(s1(x)))
S1(s1(s0(s0(x)))) -> S1(s1(x))
S1(s1(s0(s0(x)))) -> S1(x)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pairs:

S1(s1(s0(s0(x)))) -> S1(x)
S1(s1(s0(s0(x)))) -> S1(s1(x))
S1(s1(s0(s0(x)))) -> S1(s1(s1(x)))


Rule:


s1(s1(s0(s0(x)))) -> s0(s0(s0(s1(s1(s1(x))))))


Strategy:

innermost



Innermost Termination of R could not be shown.
Duration:
0:00 minutes