- : unit = ()
- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] int(0,0) -> .(0,nil)
[2] int(0,s(y)) -> .(0,int(s(0),s(y)))
[3] int(s(x),0) -> nil
[4] int(s(x),s(y)) -> int_list(int(x,y))
[5] int_list(nil) -> nil
[6] int_list(.(x,y)) -> .(s(x),int_list(y))


Sub problem: 
guided: 

DP termination of:
<Marked_int(0,s(y)) , Marked_int(s(0),s(y))>
<Marked_int(s(x),s(y)) , Marked_int_list(int(x,y))>
<Marked_int(s(x),s(y)) , Marked_int(x,y)>
<Marked_int_list(.(x,y)) , Marked_int_list(y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_int(s(x),s(y)) , Marked_int(x,y)> 
      --> <Marked_int(s(x),s(y)) , Marked_int(x,y)>
  <Marked_int(s(x),s(y)) , Marked_int(x,y)> 
     --> <Marked_int(0,s(y)) , Marked_int(s(0),s(y))>
  <Marked_int(0,s(y)) , Marked_int(s(0),s(y))> 
     --> <Marked_int(s(x),s(y)) , Marked_int(x,y)>
}

{  <Marked_int_list(.(x,y)) , Marked_int_list(y)> 
      --> <Marked_int_list(.(x,y)) , Marked_int_list(y)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_int -> 2

APPLY CRITERIA (Subterm criterion)

ST: Marked_int_list -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] int(0,0) -> .(0,nil)
[2] int(0,s(y)) -> .(0,int(s(0),s(y)))
[3] int(s(x),0) -> nil
[4] int(s(x),s(y)) -> int_list(int(x,y))
[5] int_list(nil) -> nil
[6] int_list(.(x,y)) -> .(s(x),int_list(y))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_int(0,s(y)) , Marked_int(s(0),s(y))>
<Marked_int(s(x),s(y)) , Marked_int_list(int(x,y))>
<Marked_int(s(x),s(y)) , Marked_int(x,y)>
<Marked_int_list(.(x,y)) , Marked_int_list(y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_int(0,s(y)) , Marked_int(s(0),s(y))>
<Marked_int(s(x),s(y)) , Marked_int(x,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_int(0,s(y)) , Marked_int(s(0),s(y))>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
{
 
DP termination of:
<Marked_int_list(.(x,y)) , Marked_int_list(y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.007587 seconds (real time)
Cime Exit Status: 0