DONT KNOW
Welcome to CiME version 2.02 - Built on 14/04/2004 13:29:51

- : unit = ()
- : unit = ()
X : variable_set = <variable set>

F : signature = <signature>
R : HTRS = { zeros -> cons(0,zeros),
             U11(tt,L) -> U12(tt,L),
             U12(tt,L) -> s(length(L)),
             length(nil) -> 0,
             length(cons(N,L)) -> U11(tt,L) } (5 rules)
Termination now uses minimal decomposition
- : unit = ()
Entering the termination expert for modules. Verbose level = 0
Checking module:
{}

The dependency graph is
(0 nodes)
Checking each of the 0 strongly connected components :

Checking module:
{}

The dependency graph is
(0 nodes)
Checking each of the 0 strongly connected components :

Checking module:
{}

The dependency graph is
(0 nodes)
Checking each of the 0 strongly connected components :

Checking module:
{}

The dependency graph is
(0 nodes)
Checking each of the 0 strongly connected components :

Checking module:
{}

The dependency graph is
(0 nodes)
Checking each of the 0 strongly connected components :

Checking module:
{ length(cons(V_1,V_0)) -> U11(tt,V_0),
  length(nil) -> 0,
  U12(tt,V_0) -> s(length(V_0)),
  U11(tt,V_0) -> U12(tt,V_0) } (4 rules)

The dependency graph is
(1 nodes)
Checking each of the 1 strongly connected components :
Checking component 1
Trying simple graph criterion.
Trying to solve the following constraints:
(7 termination constraints)
Search parameters: linear polynomials, coefficient bound is 2.
Solution found for these constraints:
[0] = 0; 
[cons](X0,X1) = X1 + 2; 
[tt] = 0; 
[nil] = 0; 
[s](X0) = 0; 
[U11](X0,X1) = 0; 
[U12](X0,X1) = 0; 
[length](X0) = 0; 
['U11`](X0,X1) = 2*X1 + 2; 
['U12`](X0,X1) = 2*X1 + 1; 
['length`](X0) = 2*X0; 


Checking module:
{ zeros -> cons(0,zeros) } (1 rules)

The dependency graph is
(1 nodes)
Checking each of the 1 strongly connected components :
Checking component 1
Trying simple graph criterion.
Trying to solve the following constraints:
(2 termination constraints)
Search parameters: linear polynomials, coefficient bound is 2.
No solution found for these parameters.
Search parameters: simple polynomials, coefficient bound is 3.
No solution found for these parameters.
No solution found for these constraints.
Trying strongly connected part criterion.
Trying to solve the following constraints:
(2 termination constraints)
Search parameters: linear polynomials, coefficient bound is 2.
No solution found for these parameters.
Search parameters: simple polynomials, coefficient bound is 3.
No solution found for these parameters.
No solution found for these constraints.
No modular termination proof found.
- : unit = ()
The last proof attempt failed.
- : unit = ()

Quitting.
Standard error: