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

TRS termination of:
[1] plus(0,x) -> x
[2] plus(s(x),y) -> s(plus(x,y))
[3] times(0,y) -> 0
[4] times(s(x),y) -> plus(y,times(x,y))
[5] exp(x,0) -> s(0)
[6] exp(x,s(y)) -> times(x,exp(x,y))
[7] ge(x,0) -> true
[8] ge(0,s(x)) -> false
[9] ge(s(x),s(y)) -> ge(x,y)
[10] tower(x,y) -> towerIter(0,x,y,s(0))
[11] towerIter(c,x,y,z) -> help(ge(c,x),c,x,y,z)
[12] help(true,c,x,y,z) -> z
[13] help(false,c,x,y,z) -> towerIter(s(c),x,y,exp(y,z))


Sub problem: 
guided: 

DP termination of:
<Marked_plus(s(x),y) , Marked_plus(x,y)>
<Marked_times(s(x),y) , Marked_plus(y,times(x,y))>
<Marked_times(s(x),y) , Marked_times(x,y)>
<Marked_exp(x,s(y)) , Marked_times(x,exp(x,y))>
<Marked_exp(x,s(y)) , Marked_exp(x,y)>
<Marked_ge(s(x),s(y)) , Marked_ge(x,y)>
<Marked_tower(x,y) , Marked_towerIter(0,x,y,s(0))>
<Marked_towerIter(c,x,y,z) , Marked_help(ge(c,x),c,x,y,z)>
<Marked_towerIter(c,x,y,z) , Marked_ge(c,x)>
<Marked_help(false,c,x,y,z) , Marked_towerIter(s(c),x,y,exp(y,z))>
<Marked_help(false,c,x,y,z) , Marked_exp(y,z)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 5 components:

{  <Marked_help(false,c,x,y,z) , Marked_towerIter(s(c),x,y,exp(y,z))> 
      --> <Marked_towerIter(c,x,y,z) , Marked_help(ge(c,x),c,x,y,z)>
  <Marked_towerIter(c,x,y,z) , Marked_help(ge(c,x),c,x,y,z)> 
     --> <Marked_help(false,c,x,y,z) , Marked_towerIter(s(c),x,y,exp(y,z))>
}

{  <Marked_ge(s(x),s(y)) , Marked_ge(x,y)> 
      --> <Marked_ge(s(x),s(y)) , Marked_ge(x,y)>
}

{  <Marked_exp(x,s(y)) , Marked_exp(x,y)> 
      --> <Marked_exp(x,s(y)) , Marked_exp(x,y)>
}

{  <Marked_times(s(x),y) , Marked_times(x,y)> 
      --> <Marked_times(s(x),y) , Marked_times(x,y)>
}

{  <Marked_plus(s(x),y) , Marked_plus(x,y)> 
      --> <Marked_plus(s(x),y) , Marked_plus(x,y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  plus(0,x) >= x ;
  plus(s(x),y) >= s(plus(x,y)) ;
  times(0,y) >= 0 ;
  times(s(x),y) >= plus(y,times(x,y)) ;
  exp(x,0) >= s(0) ;
  exp(x,s(y)) >= times(x,exp(x,y)) ;
  ge(0,s(x)) >= false ;
  ge(s(x),s(y)) >= ge(x,y) ;
  ge(x,0) >= true ;
  towerIter(c,x,y,z) >= help(ge(c,x),c,x,y,z) ;
  tower(x,y) >= towerIter(0,x,y,s(0)) ;
  help(true,c,x,y,z) >= z ;
  help(false,c,x,y,z) >= towerIter(s(c),x,y,exp(y,z)) ;
  Marked_help(false,c,x,y,z) >= Marked_towerIter(s(c),x,y,exp(y,z)) ;
  Marked_towerIter(c,x,y,z) >= Marked_help(ge(c,x),c,x,y,z) ;
 }
 + Disjunctions:{ 
{
  Marked_help(false,c,x,y,z) > Marked_towerIter(s(c),x,y,exp(y,z)) ;
 }
{
  Marked_towerIter(c,x,y,z) > Marked_help(ge(c,x),c,x,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 ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 4.151980 seconds (real time)
Cime Exit Status: 0