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

TRS termination of:
[1] gt(s(x),0) -> true
[2] gt(0,y) -> false
[3] gt(s(x),s(y)) -> gt(x,y)
[4] divides(x,y) -> div(x,y,y)
[5] div(0,0,z) -> true
[6] div(0,s(x),z) -> false
[7] div(s(x),0,s(z)) -> div(s(x),s(z),s(z))
[8] div(s(x),s(y),z) -> div(x,y,z)
[9] prime(x) -> test(x,s(s(0)))
[10] test(x,y) -> if1(gt(x,y),x,y)
[11] if1(true,x,y) -> if2(divides(x,y),x,y)
[12] if1(false,x,y) -> true
[13] if2(true,x,y) -> false
[14] if2(false,x,y) -> test(x,s(y))


Sub problem: 
guided: 

DP termination of:
<Marked_gt(s(x),s(y)) , Marked_gt(x,y)>
<Marked_divides(x,y) , Marked_div(x,y,y)>
<Marked_div(s(x),0,s(z)) , Marked_div(s(x),s(z),s(z))>
<Marked_div(s(x),s(y),z) , Marked_div(x,y,z)>
<Marked_prime(x) , Marked_test(x,s(s(0)))>
<Marked_test(x,y) , Marked_if1(gt(x,y),x,y)>
<Marked_test(x,y) , Marked_gt(x,y)>
<Marked_if1(true,x,y) , Marked_if2(divides(x,y),x,y)>
<Marked_if1(true,x,y) , Marked_divides(x,y)>
<Marked_if2(false,x,y) , Marked_test(x,s(y))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_if2(false,x,y) , Marked_test(x,s(y))> 
      --> <Marked_test(x,y) , Marked_if1(gt(x,y),x,y)>
  <Marked_if1(true,x,y) , Marked_if2(divides(x,y),x,y)> 
     --> <Marked_if2(false,x,y) , Marked_test(x,s(y))>
  <Marked_test(x,y) , Marked_if1(gt(x,y),x,y)> 
     --> <Marked_if1(true,x,y) , Marked_if2(divides(x,y),x,y)>
}

{  <Marked_div(s(x),s(y),z) , Marked_div(x,y,z)> 
      --> <Marked_div(s(x),s(y),z) , Marked_div(x,y,z)>
  <Marked_div(s(x),s(y),z) , Marked_div(x,y,z)> 
     --> <Marked_div(s(x),0,s(z)) , Marked_div(s(x),s(z),s(z))>
  <Marked_div(s(x),0,s(z)) , Marked_div(s(x),s(z),s(z))> 
     --> <Marked_div(s(x),s(y),z) , Marked_div(x,y,z)>
}

{  <Marked_gt(s(x),s(y)) , Marked_gt(x,y)> 
      --> <Marked_gt(s(x),s(y)) , Marked_gt(x,y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  gt(s(x),s(y)) >= gt(x,y) ;
  gt(s(x),0) >= true ;
  gt(0,y) >= false ;
  div(s(x),s(y),z) >= div(x,y,z) ;
  div(s(x),0,s(z)) >= div(s(x),s(z),s(z)) ;
  div(0,s(x),z) >= false ;
  div(0,0,z) >= true ;
  divides(x,y) >= div(x,y,y) ;
  test(x,y) >= if1(gt(x,y),x,y) ;
  prime(x) >= test(x,s(s(0))) ;
  if1(true,x,y) >= if2(divides(x,y),x,y) ;
  if1(false,x,y) >= true ;
  if2(true,x,y) >= false ;
  if2(false,x,y) >= test(x,s(y)) ;
  Marked_if2(false,x,y) >= Marked_test(x,s(y)) ;
  Marked_test(x,y) >= Marked_if1(gt(x,y),x,y) ;
  Marked_if1(true,x,y) >= Marked_if2(divides(x,y),x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_if2(false,x,y) > Marked_test(x,s(y)) ;
 }
{
  Marked_test(x,y) > Marked_if1(gt(x,y),x,y) ;
 }
{
  Marked_if1(true,x,y) > Marked_if2(divides(x,y),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
=== 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 : 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 18.217284 seconds (real time)
Cime Exit Status: 0