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

TRS termination of:
[1] :(:(x,y),z) -> :(x,:(y,z))
[2] :(+(x,y),z) -> +(:(x,z),:(y,z))
[3] :(z,+(x,f(y))) -> :(g(z,y),+(x,a))


Sub problem: 
guided: 

DP termination of:
<Marked_:(:(x,y),z) , Marked_:(x,:(y,z))>
<Marked_:(:(x,y),z) , Marked_:(y,z)>
<Marked_:(+(x,y),z) , Marked_:(x,z)>
<Marked_:(+(x,y),z) , Marked_:(y,z)>
<Marked_:(z,+(x,f(y))) , Marked_:(g(z,y),+(x,a))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_:(+(x,y),z) , Marked_:(y,z)> 
      --> <Marked_:(+(x,y),z) , Marked_:(y,z)>
  <Marked_:(+(x,y),z) , Marked_:(y,z)> --> <Marked_:(+(x,y),z) , Marked_:(x,z)>
  <Marked_:(+(x,y),z) , Marked_:(y,z)> --> <Marked_:(:(x,y),z) , Marked_:(y,z)>
  <Marked_:(+(x,y),z) , Marked_:(y,z)> 
     --> <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))>
  <Marked_:(+(x,y),z) , Marked_:(x,z)> --> <Marked_:(+(x,y),z) , Marked_:(y,z)>
  <Marked_:(+(x,y),z) , Marked_:(x,z)> --> <Marked_:(+(x,y),z) , Marked_:(x,z)>
  <Marked_:(+(x,y),z) , Marked_:(x,z)> --> <Marked_:(:(x,y),z) , Marked_:(y,z)>
  <Marked_:(+(x,y),z) , Marked_:(x,z)> 
     --> <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))>
  <Marked_:(:(x,y),z) , Marked_:(y,z)> --> <Marked_:(+(x,y),z) , Marked_:(y,z)>
  <Marked_:(:(x,y),z) , Marked_:(y,z)> --> <Marked_:(+(x,y),z) , Marked_:(x,z)>
  <Marked_:(:(x,y),z) , Marked_:(y,z)> --> <Marked_:(:(x,y),z) , Marked_:(y,z)>
  <Marked_:(:(x,y),z) , Marked_:(y,z)> 
     --> <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))>
  <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))> 
     --> <Marked_:(+(x,y),z) , Marked_:(y,z)>
  <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))> 
     --> <Marked_:(+(x,y),z) , Marked_:(x,z)>
  <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))> 
     --> <Marked_:(:(x,y),z) , Marked_:(y,z)>
  <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))> 
     --> <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  :(:(x,y),z) >= :(x,:(y,z)) ;
  :(+(x,y),z) >= +(:(x,z),:(y,z)) ;
  :(z,+(x,f(y))) >= :(g(z,y),+(x,a)) ;
  Marked_:(:(x,y),z) >= Marked_:(x,:(y,z)) ;
  Marked_:(:(x,y),z) >= Marked_:(y,z) ;
  Marked_:(+(x,y),z) >= Marked_:(x,z) ;
  Marked_:(+(x,y),z) >= Marked_:(y,z) ;
 }
 + Disjunctions:{ 
{
  Marked_:(:(x,y),z) > Marked_:(x,:(y,z)) ;
 }
{
  Marked_:(:(x,y),z) > Marked_:(y,z) ;
 }
{
  Marked_:(+(x,y),z) > Marked_:(x,z) ;
 }
{
  Marked_:(+(x,y),z) > Marked_:(y,z) ;
 }
 } 
=== 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: :(:(x,y),z) >= :(x,:(y,z))
constraint: :(+(x,y),z) >= +(:(x,z),:(y,z))
constraint: :(z,+(x,f(y))) >= :(g(z,y),+(x,a))
constraint: Marked_:(:(x,y),z) >= Marked_:(x,:(y,z))
constraint: Marked_:(:(x,y),z) >= Marked_:(y,z)
constraint: Marked_:(+(x,y),z) >= Marked_:(x,z)
constraint: Marked_:(+(x,y),z) >= Marked_:(y,z)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] :(:(x,y),z) -> :(x,:(y,z))
[2] :(+(x,y),z) -> +(:(x,z),:(y,z))
[3] :(z,+(x,f(y))) -> :(g(z,y),+(x,a))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))>
<Marked_:(:(x,y),z) , Marked_:(y,z)>
<Marked_:(+(x,y),z) , Marked_:(x,z)>
<Marked_:(+(x,y),z) , Marked_:(y,z)>
<Marked_:(z,+(x,f(y))) , Marked_:(g(z,y),+(x,a))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_:(:(x,y),z) , Marked_:(x,:(y,z))>
<Marked_:(:(x,y),z) , Marked_:(y,z)>
<Marked_:(+(x,y),z) , Marked_:(x,z)>
<Marked_:(+(x,y),z) , Marked_:(y,z)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     RPO with AFS = AFS: g -> 0
     and precedence:
     prec (All symbols are Lex.): { :  >  + ; :  >  a ; :  <  Marked_: ;
                                   +  <  : ; +  >  a ; +  <  Marked_: ;
                                   a  <  : ; a  <  + ; a  <  f ;
                                   a  <  Marked_: ; f  >  a ; Marked_:  >  : ;
                                   Marked_:  >  + ; Marked_:  >  a ; }

 ]} 
 ]} 
 ]} 

Cime worked for 0.034645 seconds (real time)
Cime Exit Status: 0