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

TRS termination of:
[1] and(tt,X) -> activate(X)
[2] plus(N,0) -> N
[3] plus(N,s(M)) -> s(plus(N,M))
[4] x(N,0) -> 0
[5] x(N,s(M)) -> plus(x(N,M),N)
[6] activate(X) -> X


Sub problem: 
guided: 

DP termination of:
<Marked_and(tt,X) , Marked_activate(X)>
<Marked_plus(N,s(M)) , Marked_plus(N,M)>
<Marked_x(N,s(M)) , Marked_plus(x(N,M),N)>
<Marked_x(N,s(M)) , Marked_x(N,M)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_x(N,s(M)) , Marked_x(N,M)> --> <Marked_x(N,s(M)) , Marked_x(N,M)>
}

{  <Marked_plus(N,s(M)) , Marked_plus(N,M)> 
      --> <Marked_plus(N,s(M)) , Marked_plus(N,M)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  activate(X) >= X ;
  and(tt,X) >= activate(X) ;
  plus(N,0) >= N ;
  plus(N,s(M)) >= s(plus(N,M)) ;
  x(N,0) >= 0 ;
  x(N,s(M)) >= plus(x(N,M),N) ;
  Marked_x(N,s(M)) >= Marked_x(N,M) ;
 }
 + Disjunctions:{ 
{
  Marked_x(N,s(M)) > Marked_x(N,M) ;
 }
 } 
=== 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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== STOPING TIMER virtual ===
constraint: activate(X) >= X
constraint: and(tt,X) >= activate(X)
constraint: plus(N,0) >= N
constraint: plus(N,s(M)) >= s(plus(N,M))
constraint: x(N,0) >= 0
constraint: x(N,s(M)) >= plus(x(N,M),N)
constraint: Marked_x(N,s(M)) >= Marked_x(N,M)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  activate(X) >= X ;
  and(tt,X) >= activate(X) ;
  plus(N,0) >= N ;
  plus(N,s(M)) >= s(plus(N,M)) ;
  x(N,0) >= 0 ;
  x(N,s(M)) >= plus(x(N,M),N) ;
  Marked_plus(N,s(M)) >= Marked_plus(N,M) ;
 }
 + Disjunctions:{ 
{
  Marked_plus(N,s(M)) > Marked_plus(N,M) ;
 }
 } 
=== 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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== STOPING TIMER virtual ===
constraint: activate(X) >= X
constraint: and(tt,X) >= activate(X)
constraint: plus(N,0) >= N
constraint: plus(N,s(M)) >= s(plus(N,M))
constraint: x(N,0) >= 0
constraint: x(N,s(M)) >= plus(x(N,M),N)
constraint: Marked_plus(N,s(M)) >= Marked_plus(N,M)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] and(tt,X) -> activate(X)
[2] plus(N,0) -> N
[3] plus(N,s(M)) -> s(plus(N,M))
[4] x(N,0) -> 0
[5] x(N,s(M)) -> plus(x(N,M),N)
[6] activate(X) -> X
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_and(tt,X) , Marked_activate(X)>
<Marked_plus(N,s(M)) , Marked_plus(N,M)>
<Marked_x(N,s(M)) , Marked_plus(x(N,M),N)>
<Marked_x(N,s(M)) , Marked_x(N,M)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_x(N,s(M)) , Marked_x(N,M)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     RPO with AFS = AFS: 
     and precedence:
     prec (All symbols are Lex.): { activate  <  and ; and  >  activate ;
                                   plus  >  s ; plus  <  x ; s  <  plus ;
                                   s  <  x ; x  >  plus ; x  >  s ; }

 ]} 
{
 
DP termination of:
<Marked_plus(N,s(M)) , Marked_plus(N,M)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     RPO with AFS = AFS: 
     and precedence:
     prec (All symbols are Lex.): { activate  <  and ; and  >  activate ;
                                   plus  >  s ; plus  <  x ; s  <  plus ;
                                   s  <  x ; x  >  plus ; x  >  s ; }

 ]} 
 ]} 
 ]} 

Cime worked for 0.030659 seconds (real time)
Cime Exit Status: 0