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

TRS termination of:
[1] not(x) -> if(x,false,true)
[2] and(x,y) -> if(x,y,false)
[3] or(x,y) -> if(x,true,y)
[4] implies(x,y) -> if(x,y,true)
[5] =(x,x) -> true
[6] =(x,y) -> if(x,y,not(y))
[7] if(true,x,y) -> x
[8] if(false,x,y) -> y
[9] if(x,x,if(x,false,true)) -> true
[10] =(x,y) -> if(x,y,if(y,false,true))


Sub problem: 
guided: 

DP termination of:
<Marked_not(x) , Marked_if(x,false,true)>
<Marked_and(x,y) , Marked_if(x,y,false)>
<Marked_or(x,y) , Marked_if(x,true,y)>
<Marked_implies(x,y) , Marked_if(x,y,true)>
<Marked_=(x,y) , Marked_if(x,y,not(y))>
<Marked_=(x,y) , Marked_not(y)>
<Marked_=(x,y) , Marked_if(x,y,if(y,false,true))>
<Marked_=(x,y) , Marked_if(y,false,true)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] not(x) -> if(x,false,true)
[2] and(x,y) -> if(x,y,false)
[3] or(x,y) -> if(x,true,y)
[4] implies(x,y) -> if(x,y,true)
[5] =(x,x) -> true
[6] =(x,y) -> if(x,y,not(y))
[7] if(true,x,y) -> x
[8] if(false,x,y) -> y
[9] if(x,x,if(x,false,true)) -> true
[10] =(x,y) -> if(x,y,if(y,false,true))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_not(x) , Marked_if(x,false,true)>
<Marked_and(x,y) , Marked_if(x,y,false)>
<Marked_or(x,y) , Marked_if(x,true,y)>
<Marked_implies(x,y) , Marked_if(x,y,true)>
<Marked_=(x,y) , Marked_if(x,y,not(y))>
<Marked_=(x,y) , Marked_not(y)>
<Marked_=(x,y) , Marked_if(x,y,if(y,false,true))>
<Marked_=(x,y) , Marked_if(y,false,true)>
 ,
 CRITERION: SG
 [  ]} 
 ]} 

Cime worked for 0.002925 seconds (real time)
Cime Exit Status: 0