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

TRS termination of:
[1] rev(nil) -> nil
[2] rev(rev(x)) -> x
[3] rev(++(x,y)) -> ++(rev(y),rev(x))
[4] ++(nil,y) -> y
[5] ++(x,nil) -> x
[6] ++(.(x,y),z) -> .(x,++(y,z))
[7] ++(x,++(y,z)) -> ++(++(x,y),z)
[8] make(x) -> .(x,nil)


Sub problem: 
guided: 

DP termination of:
<Marked_rev(++(x,y)) , Marked_++(rev(y),rev(x))>
<Marked_rev(++(x,y)) , Marked_rev(y)>
<Marked_rev(++(x,y)) , Marked_rev(x)>
<Marked_++(.(x,y),z) , Marked_++(y,z)>
<Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)>
<Marked_++(x,++(y,z)) , Marked_++(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_rev(++(x,y)) , Marked_rev(x)> 
      --> <Marked_rev(++(x,y)) , Marked_rev(x)>
  <Marked_rev(++(x,y)) , Marked_rev(x)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(y)>
  <Marked_rev(++(x,y)) , Marked_rev(y)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(x)>
  <Marked_rev(++(x,y)) , Marked_rev(y)> 
     --> <Marked_rev(++(x,y)) , Marked_rev(y)>
}

{  <Marked_++(x,++(y,z)) , Marked_++(x,y)> 
      --> <Marked_++(x,++(y,z)) , Marked_++(x,y)>
  <Marked_++(x,++(y,z)) , Marked_++(x,y)> 
     --> <Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)>
  <Marked_++(x,++(y,z)) , Marked_++(x,y)> 
     --> <Marked_++(.(x,y),z) , Marked_++(y,z)>
  <Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)> 
     --> <Marked_++(x,++(y,z)) , Marked_++(x,y)>
  <Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)> 
     --> <Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)>
  <Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)> 
     --> <Marked_++(.(x,y),z) , Marked_++(y,z)>
  <Marked_++(.(x,y),z) , Marked_++(y,z)> 
     --> <Marked_++(x,++(y,z)) , Marked_++(x,y)>
  <Marked_++(.(x,y),z) , Marked_++(y,z)> 
     --> <Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)>
  <Marked_++(.(x,y),z) , Marked_++(y,z)> 
     --> <Marked_++(.(x,y),z) , Marked_++(y,z)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_rev -> 1

APPLY CRITERIA (Subterm criterion)

ST: Marked_++ -> 2

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_++(.(x,y),z) , Marked_++(y,z)> 
      --> <Marked_++(.(x,y),z) , Marked_++(y,z)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_++ -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] rev(nil) -> nil
[2] rev(rev(x)) -> x
[3] rev(++(x,y)) -> ++(rev(y),rev(x))
[4] ++(nil,y) -> y
[5] ++(x,nil) -> x
[6] ++(.(x,y),z) -> .(x,++(y,z))
[7] ++(x,++(y,z)) -> ++(++(x,y),z)
[8] make(x) -> .(x,nil)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_rev(++(x,y)) , Marked_++(rev(y),rev(x))>
<Marked_rev(++(x,y)) , Marked_rev(y)>
<Marked_rev(++(x,y)) , Marked_rev(x)>
<Marked_++(.(x,y),z) , Marked_++(y,z)>
<Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)>
<Marked_++(x,++(y,z)) , Marked_++(x,y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_rev(++(x,y)) , Marked_rev(y)>
<Marked_rev(++(x,y)) , Marked_rev(x)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
{
 
DP termination of:
<Marked_++(.(x,y),z) , Marked_++(y,z)>
<Marked_++(x,++(y,z)) , Marked_++(++(x,y),z)>
<Marked_++(x,++(y,z)) , Marked_++(x,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
     <Marked_++(.(x,y),z) , Marked_++(y,z)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_++(.(x,y),z) , Marked_++(y,z)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 0.013274 seconds (real time)
Cime Exit Status: 0