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

TRS termination of:
[1] w(r(x)) -> r(w(x))
[2] b(r(x)) -> r(b(x))
[3] b(w(x)) -> w(b(x))


Sub problem: 
guided: 

DP termination of:
<Marked_w(r(x)) , Marked_w(x)>
<Marked_b(r(x)) , Marked_b(x)>
<Marked_b(w(x)) , Marked_w(b(x))>
<Marked_b(w(x)) , Marked_b(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_b(w(x)) , Marked_b(x)> --> <Marked_b(w(x)) , Marked_b(x)>
  <Marked_b(w(x)) , Marked_b(x)> --> <Marked_b(r(x)) , Marked_b(x)>
  <Marked_b(r(x)) , Marked_b(x)> --> <Marked_b(w(x)) , Marked_b(x)>
  <Marked_b(r(x)) , Marked_b(x)> --> <Marked_b(r(x)) , Marked_b(x)>
}

{  <Marked_w(r(x)) , Marked_w(x)> --> <Marked_w(r(x)) , Marked_w(x)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_b -> 1

APPLY CRITERIA (Subterm criterion)

ST: Marked_w -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] w(r(x)) -> r(w(x))
[2] b(r(x)) -> r(b(x))
[3] b(w(x)) -> w(b(x))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_w(r(x)) , Marked_w(x)>
<Marked_b(r(x)) , Marked_b(x)>
<Marked_b(w(x)) , Marked_w(b(x))>
<Marked_b(w(x)) , Marked_b(x)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_b(r(x)) , Marked_b(x)>
<Marked_b(w(x)) , Marked_b(x)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
{
 
DP termination of:
<Marked_w(r(x)) , Marked_w(x)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.004953 seconds (real time)
Cime Exit Status: 0