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

TRS termination of:
[1] 1(0(x)) -> 0(0(0(1(x))))
[2] 0(1(x)) -> 1(x)
[3] 1(1(x)) -> 0(0(0(0(x))))
[4] 0(0(x)) -> 0(x)


Sub problem: 
guided: 

DP termination of:
<Marked_1(0(x)) , Marked_0(0(0(1(x))))>
<Marked_1(0(x)) , Marked_0(0(1(x)))>
<Marked_1(0(x)) , Marked_0(1(x))>
<Marked_1(0(x)) , Marked_1(x)>
<Marked_1(1(x)) , Marked_0(0(0(0(x))))>
<Marked_1(1(x)) , Marked_0(0(0(x)))>
<Marked_1(1(x)) , Marked_0(0(x))>
<Marked_1(1(x)) , Marked_0(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_1(0(x)) , Marked_1(x)> --> <Marked_1(0(x)) , Marked_1(x)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  0(0(x)) >= 0(x) ;
  0(1(x)) >= 1(x) ;
  1(0(x)) >= 0(0(0(1(x)))) ;
  1(1(x)) >= 0(0(0(0(x)))) ;
  Marked_1(0(x)) >= Marked_1(x) ;
 }
 + Disjunctions:{ 
{
  Marked_1(0(x)) > Marked_1(x) ;
 }
 } 
=== 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: 0(0(x)) >= 0(x)
constraint: 0(1(x)) >= 1(x)
constraint: 1(0(x)) >= 0(0(0(1(x))))
constraint: 1(1(x)) >= 0(0(0(0(x))))
constraint: Marked_1(0(x)) >= Marked_1(x)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] 1(0(x)) -> 0(0(0(1(x))))
[2] 0(1(x)) -> 1(x)
[3] 1(1(x)) -> 0(0(0(0(x))))
[4] 0(0(x)) -> 0(x)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_1(0(x)) , Marked_0(0(0(1(x))))>
<Marked_1(0(x)) , Marked_0(0(1(x)))>
<Marked_1(0(x)) , Marked_0(1(x))>
<Marked_1(0(x)) , Marked_1(x)>
<Marked_1(1(x)) , Marked_0(0(0(0(x))))>
<Marked_1(1(x)) , Marked_0(0(0(x)))>
<Marked_1(1(x)) , Marked_0(0(x))>
<Marked_1(1(x)) , Marked_0(x)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_1(0(x)) , Marked_1(x)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ 0 ] (X0) = 1 + 1*X0 + 0; 
 [ 1 ] (X0) = 2 + 3*X0 + 0; 
 [ Marked_1 ] (X0) = 3*X0 + 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.026736 seconds (real time)
Cime Exit Status: 0