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

TRS termination of:
[1] f(c(X,s(Y))) -> f(c(s(X),Y))
[2] g(c(s(X),Y)) -> f(c(X,s(Y)))


Sub problem: 
guided: 

DP termination of:
<Marked_f(c(X,s(Y))) , Marked_f(c(s(X),Y))>
<Marked_g(c(s(X),Y)) , Marked_f(c(X,s(Y)))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_f(c(X,s(Y))) , Marked_f(c(s(X),Y))> 
      --> <Marked_f(c(X,s(Y))) , Marked_f(c(s(X),Y))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  f(c(X,s(Y))) >= f(c(s(X),Y)) ;
  g(c(s(X),Y)) >= f(c(X,s(Y))) ;
  Marked_f(c(X,s(Y))) >= Marked_f(c(s(X),Y)) ;
 }
 + Disjunctions:{ 
{
  Marked_f(c(X,s(Y))) > Marked_f(c(s(X),Y)) ;
 }
 } 
=== 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(X,s(Y))) >= f(c(s(X),Y))
constraint: g(c(s(X),Y)) >= f(c(X,s(Y)))
constraint: Marked_f(c(X,s(Y))) >= Marked_f(c(s(X),Y))
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] f(c(X,s(Y))) -> f(c(s(X),Y))
[2] g(c(s(X),Y)) -> f(c(X,s(Y)))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_f(c(X,s(Y))) , Marked_f(c(s(X),Y))>
<Marked_g(c(s(X),Y)) , Marked_f(c(X,s(Y)))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_f(c(X,s(Y))) , Marked_f(c(s(X),Y))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ f ] (X0) = 2 + 0; 
 [ s ] (X0) = 2 + 1*X0 + 0; 
 [ c ] (X0,X1) = 1 + 2*X0 + 3*X1 + 0; 
 [ Marked_f ] (X0) = 3*X0 + 0; 
 [ g ] (X0) = 2 + 3*X0 + 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.030910 seconds (real time)
Cime Exit Status: 0