Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    div(X,e)  → i(X)
2:    i(div(X,Y))  → div(Y,X)
3:    div(div(X,Y),Z)  → div(Y,div(i(X),Z))
There are 5 dependency pairs:
4:    DIV(X,e)  → I(X)
5:    I(div(X,Y))  → DIV(Y,X)
6:    DIV(div(X,Y),Z)  → DIV(Y,div(i(X),Z))
7:    DIV(div(X,Y),Z)  → DIV(i(X),Z)
8:    DIV(div(X,Y),Z)  → I(X)
Consider the SCC {4-8}. The constraints could not be solved.
Tyrolean Termination Tool  (0.03 seconds)   ---  May 3, 2006