- : 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))


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 (Choosing graph)
Trying to solve the following constraints:
{
  if(if(x,y,z),u,v) >= if(x,if(y,u,v),if(z,u,v)) ;
  if(true,x,y) >= x ;
  if(false,x,y) >= y ;
  if(x,y,y) >= y ;
  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) ;
 }
 + Disjunctions:{ 
{
  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) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: if(if(x,y,z),u,v) >= if(x,if(y,u,v),if(z,u,v))
constraint: if(true,x,y) >= x
constraint: if(false,x,y) >= y
constraint: if(x,y,y) >= y
constraint: Marked_if(if(x,y,z),u,v) >= Marked_if(x,if(y,u,v),if(z,u,v))
constraint: Marked_if(if(x,y,z),u,v) >= Marked_if(y,u,v)
constraint: Marked_if(if(x,y,z),u,v) >= Marked_if(z,u,v)
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))
 ,
 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: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ if ] (X0,X1,X2) = 3 + 2*X0 + 1*X1 + 1*X2 + 0; 
 [ v ] () = 0; 
 [ false ] () = 2 + 0; 
 [ true ] () = 3 + 0; 
 [ Marked_if ] (X0,X1,X2) = 3*X0 + 1*X1 + 1*X2 + 0; 
 [ u ] () = 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.042254 seconds (real time)
Cime Exit Status: 0