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

TRS termination of:
[1] f(a) -> f(c(a))
[2] f(c(X)) -> X
[3] f(c(a)) -> f(d(b))
[4] f(a) -> f(d(a))
[5] f(d(X)) -> X
[6] f(c(b)) -> f(d(a))
[7] e(g(X)) -> e(X)


Sub problem: 
guided: 

DP termination of:
<Marked_f(a) , Marked_f(c(a))>
<Marked_f(c(a)) , Marked_f(d(b))>
<Marked_f(a) , Marked_f(d(a))>
<Marked_f(c(b)) , Marked_f(d(a))>
<Marked_e(g(X)) , Marked_e(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

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

Cime worked for 0.026438 seconds (real time)
Cime Exit Status: 0