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

TRS termination of:
[1] fact(X) -> if(zero(X),s(0),prod(X,fact(p(X))))
[2] add(0,X) -> X
[3] add(s(X),Y) -> s(add(X,Y))
[4] prod(0,X) -> 0
[5] prod(s(X),Y) -> add(Y,prod(X,Y))
[6] if(true,X,Y) -> X
[7] if(false,X,Y) -> Y
[8] zero(0) -> true
[9] zero(s(X)) -> false
[10] p(s(X)) -> X


Sub problem: 
guided: 

DP termination of:
<Marked_fact(X) , Marked_if(zero(X),s(0),prod(X,fact(p(X))))>
<Marked_fact(X) , Marked_zero(X)>
<Marked_fact(X) , Marked_prod(X,fact(p(X)))>
<Marked_fact(X) , Marked_fact(p(X))>
<Marked_fact(X) , Marked_p(X)>
<Marked_add(s(X),Y) , Marked_add(X,Y)>
<Marked_prod(s(X),Y) , Marked_add(Y,prod(X,Y))>
<Marked_prod(s(X),Y) , Marked_prod(X,Y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_fact(X) , Marked_fact(p(X))> 
      --> <Marked_fact(X) , Marked_fact(p(X))>
}

{  <Marked_prod(s(X),Y) , Marked_prod(X,Y)> 
      --> <Marked_prod(s(X),Y) , Marked_prod(X,Y)>
}

{  <Marked_add(s(X),Y) , Marked_add(X,Y)> 
      --> <Marked_add(s(X),Y) , Marked_add(X,Y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  if(true,X,Y) >= X ;
  if(false,X,Y) >= Y ;
  zero(s(X)) >= false ;
  zero(0) >= true ;
  prod(s(X),Y) >= add(Y,prod(X,Y)) ;
  prod(0,X) >= 0 ;
  fact(X) >= if(zero(X),s(0),prod(X,fact(p(X)))) ;
  p(s(X)) >= X ;
  add(s(X),Y) >= s(add(X,Y)) ;
  add(0,X) >= X ;
  Marked_fact(X) >= Marked_fact(p(X)) ;
 }
 + Disjunctions:{ 
{
  Marked_fact(X) > Marked_fact(p(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
=== 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 : 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 0.661406 seconds (real time)
Cime Exit Status: 0