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

TRS termination of:
[1] p(s(x)) -> x
[2] p(0) -> 0
[3] le(0,y) -> true
[4] le(s(x),0) -> false
[5] le(s(x),s(y)) -> le(x,y)
[6] average(x,y) -> if(le(x,0),le(y,0),le(y,s(0)),le(y,s(s(0))),x,y)
[7] if(true,b1,b2,b3,x,y) -> if2(b1,b2,b3,x,y)
[8] if(false,b1,b2,b3,x,y) -> average(p(x),s(y))
[9] if2(true,b2,b3,x,y) -> 0
[10] if2(false,b2,b3,x,y) -> if3(b2,b3,x,y)
[11] if3(true,b3,x,y) -> 0
[12] if3(false,b3,x,y) -> if4(b3,x,y)
[13] if4(true,x,y) -> s(0)
[14] if4(false,x,y) -> average(s(x),p(p(y)))


Sub problem: 
guided: 

DP termination of:
<Marked_le(s(x),s(y)) , Marked_le(x,y)>
<Marked_average(x,y) , Marked_if(le(x,0),le(y,0),le(y,s(0)),le(y,s(s(0))),x,y)>
<Marked_average(x,y) , Marked_le(x,0)>
<Marked_average(x,y) , Marked_le(y,0)>
<Marked_average(x,y) , Marked_le(y,s(0))>
<Marked_average(x,y) , Marked_le(y,s(s(0)))>
<Marked_if(true,b1,b2,b3,x,y) , Marked_if2(b1,b2,b3,x,y)>
<Marked_if(false,b1,b2,b3,x,y) , Marked_average(p(x),s(y))>
<Marked_if(false,b1,b2,b3,x,y) , Marked_p(x)>
<Marked_if2(false,b2,b3,x,y) , Marked_if3(b2,b3,x,y)>
<Marked_if3(false,b3,x,y) , Marked_if4(b3,x,y)>
<Marked_if4(false,x,y) , Marked_average(s(x),p(p(y)))>
<Marked_if4(false,x,y) , Marked_p(p(y))>
<Marked_if4(false,x,y) , Marked_p(y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_if4(false,x,y) , Marked_average(s(x),p(p(y)))> 
      --> <Marked_average(x,y) , Marked_if(le(x,0),le(y,0),le(y,s(0)),
                                  le(y,s(s(0))),x,y)>
  <Marked_if3(false,b3,x,y) , Marked_if4(b3,x,y)> 
     --> <Marked_if4(false,x,y) , Marked_average(s(x),p(p(y)))>
  <Marked_if2(false,b2,b3,x,y) , Marked_if3(b2,b3,x,y)> 
     --> <Marked_if3(false,b3,x,y) , Marked_if4(b3,x,y)>
  <Marked_if(false,b1,b2,b3,x,y) , Marked_average(p(x),s(y))> 
     --> <Marked_average(x,y) , Marked_if(le(x,0),le(y,0),le(y,s(0)),
                                 le(y,s(s(0))),x,y)>
  <Marked_if(true,b1,b2,b3,x,y) , Marked_if2(b1,b2,b3,x,y)> 
     --> <Marked_if2(false,b2,b3,x,y) , Marked_if3(b2,b3,x,y)>
  <Marked_average(x,y) , Marked_if(le(x,0),le(y,0),le(y,s(0)),le(y,s(s(0))),
                          x,y)> 
     --> <Marked_if(false,b1,b2,b3,x,y) , Marked_average(p(x),s(y))>
  <Marked_average(x,y) , Marked_if(le(x,0),le(y,0),le(y,s(0)),le(y,s(s(0))),
                          x,y)> 
     --> <Marked_if(true,b1,b2,b3,x,y) , Marked_if2(b1,b2,b3,x,y)>
}

{  <Marked_le(s(x),s(y)) , Marked_le(x,y)> 
      --> <Marked_le(s(x),s(y)) , Marked_le(x,y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  p(s(x)) >= x ;
  p(0) >= 0 ;
  le(s(x),s(y)) >= le(x,y) ;
  le(s(x),0) >= false ;
  le(0,y) >= true ;
  if(true,b1,b2,b3,x,y) >= if2(b1,b2,b3,x,y) ;
  if(false,b1,b2,b3,x,y) >= average(p(x),s(y)) ;
  average(x,y) >= if(le(x,0),le(y,0),le(y,s(0)),le(y,s(s(0))),x,y) ;
  if2(true,b2,b3,x,y) >= 0 ;
  if2(false,b2,b3,x,y) >= if3(b2,b3,x,y) ;
  if3(true,b3,x,y) >= 0 ;
  if3(false,b3,x,y) >= if4(b3,x,y) ;
  if4(true,x,y) >= s(0) ;
  if4(false,x,y) >= average(s(x),p(p(y))) ;
  Marked_if4(false,x,y) >= Marked_average(s(x),p(p(y))) ;
  Marked_average(x,y) >= Marked_if(le(x,0),le(y,0),le(y,s(0)),le(y,s(s(0))),
                          x,y) ;
  Marked_if3(false,b3,x,y) >= Marked_if4(b3,x,y) ;
  Marked_if2(false,b2,b3,x,y) >= Marked_if3(b2,b3,x,y) ;
  Marked_if(true,b1,b2,b3,x,y) >= Marked_if2(b1,b2,b3,x,y) ;
  Marked_if(false,b1,b2,b3,x,y) >= Marked_average(p(x),s(y)) ;
 }
 + Disjunctions:{ 
{
  Marked_if4(false,x,y) > Marked_average(s(x),p(p(y))) ;
 }
{
  Marked_average(x,y) > Marked_if(le(x,0),le(y,0),le(y,s(0)),le(y,s(s(0))),x,y) ;
 }
{
  Marked_if3(false,b3,x,y) > Marked_if4(b3,x,y) ;
 }
{
  Marked_if2(false,b2,b3,x,y) > Marked_if3(b2,b3,x,y) ;
 }
{
  Marked_if(true,b1,b2,b3,x,y) > Marked_if2(b1,b2,b3,x,y) ;
 }
{
  Marked_if(false,b1,b2,b3,x,y) > Marked_average(p(x),s(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 ===
Time out for these parameters.
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
=== STOPING TIMER virtual ===
Time out 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 timeout reached
=== 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 92.600200 seconds (real time)
Cime Exit Status: 0