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

TRS termination of:
[1] a(b(x)) -> b(a(x))
[2] a(c(x)) -> x


Sub problem: 
guided: 

DP termination of:
<Marked_a(b(x)) , Marked_a(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

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

Cime worked for 0.007509 seconds (real time)
Cime Exit Status: 0