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

TRS termination of:
[1] if(true,x,y) -> x
[2] if(false,x,y) -> y
[3] if(x,y,y) -> y
[4] if(if(x,y,z),u,v) -> if(x,if(y,u,v),if(z,u,v))
[5] if(x,if(x,y,z),z) -> if(x,y,z)
[6] if(x,y,if(x,y,z)) -> if(x,y,z)


Sub problem: 
guided: 

DP termination of:
<Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))>
<Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)>
<Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)> 
      --> <Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)>
  <Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)>
  <Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))>
  <Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)>
  <Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)>
  <Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))>
  <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)>
  <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)>
  <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))> 
     --> <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_if -> 1

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] if(true,x,y) -> x
[2] if(false,x,y) -> y
[3] if(x,y,y) -> y
[4] if(if(x,y,z),u,v) -> if(x,if(y,u,v),if(z,u,v))
[5] if(x,if(x,y,z),z) -> if(x,y,z)
[6] if(x,y,if(x,y,z)) -> if(x,y,z)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))>
<Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)>
<Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_if(if(x,y,z),u,v) , Marked_if(x,if(y,u,v),if(z,u,v))>
<Marked_if(if(x,y,z),u,v) , Marked_if(y,u,v)>
<Marked_if(if(x,y,z),u,v) , Marked_if(z,u,v)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.005722 seconds (real time)
Cime Exit Status: 0