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

TRS termination of:
[1] minus_active(0,y) -> 0
[2] mark(0) -> 0
[3] minus_active(s(x),s(y)) -> minus_active(x,y)
[4] mark(s(x)) -> s(mark(x))
[5] ge_active(x,0) -> true
[6] mark(minus(x,y)) -> minus_active(x,y)
[7] ge_active(0,s(y)) -> false
[8] mark(ge(x,y)) -> ge_active(x,y)
[9] ge_active(s(x),s(y)) -> ge_active(x,y)
[10] mark(div(x,y)) -> div_active(mark(x),y)
[11] div_active(0,s(y)) -> 0
[12] mark(if(x,y,z)) -> if_active(mark(x),y,z)
[13] div_active(s(x),s(y)) ->
 if_active(ge_active(x,y),s(div(minus(x,y),s(y))),0)
[14] if_active(true,x,y) -> mark(x)
[15] minus_active(x,y) -> minus(x,y)
[16] if_active(false,x,y) -> mark(y)
[17] ge_active(x,y) -> ge(x,y)
[18] if_active(x,y,z) -> if(x,y,z)
[19] div_active(x,y) -> div(x,y)


Sub problem: 
guided: 

DP termination of:
<Marked_minus_active(s(x),s(y)) , Marked_minus_active(x,y)>
<Marked_mark(s(x)) , Marked_mark(x)>
<Marked_mark(minus(x,y)) , Marked_minus_active(x,y)>
<Marked_mark(ge(x,y)) , Marked_ge_active(x,y)>
<Marked_ge_active(s(x),s(y)) , Marked_ge_active(x,y)>
<Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_mark(div(x,y)) , Marked_mark(x)>
<Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
<Marked_mark(if(x,y,z)) , Marked_mark(x)>
<Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                 s(div(minus(x,y),s(y))),0)>
<Marked_div_active(s(x),s(y)) , Marked_ge_active(x,y)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_if_active(false,x,y) , Marked_mark(y)> 
      --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(div(x,y)) , Marked_mark(x)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_mark(x)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0)> 
     --> <Marked_if_active(false,x,y) , Marked_mark(y)>
  <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0)> 
     --> <Marked_if_active(true,x,y) , Marked_mark(x)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_mark(x)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)> 
     --> <Marked_if_active(false,x,y) , Marked_mark(y)>
  <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)> 
     --> <Marked_if_active(true,x,y) , Marked_mark(x)>
  <Marked_mark(div(x,y)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_mark(div(x,y)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_mark(div(x,y)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_mark(x)>
  <Marked_mark(div(x,y)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_mark(div(x,y)) , Marked_mark(x)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)> 
     --> <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                          s(div(minus(x,y),s(y))),0)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_mark(x)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_mark(s(x)) , Marked_mark(x)> --> <Marked_mark(s(x)) , Marked_mark(x)>
}

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

{  <Marked_ge_active(s(x),s(y)) , Marked_ge_active(x,y)> 
      --> <Marked_ge_active(s(x),s(y)) , Marked_ge_active(x,y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  minus_active(0,y) >= 0 ;
  minus_active(s(x),s(y)) >= minus_active(x,y) ;
  minus_active(x,y) >= minus(x,y) ;
  mark(0) >= 0 ;
  mark(s(x)) >= s(mark(x)) ;
  mark(minus(x,y)) >= minus_active(x,y) ;
  mark(ge(x,y)) >= ge_active(x,y) ;
  mark(div(x,y)) >= div_active(mark(x),y) ;
  mark(if(x,y,z)) >= if_active(mark(x),y,z) ;
  ge_active(0,s(y)) >= false ;
  ge_active(s(x),s(y)) >= ge_active(x,y) ;
  ge_active(x,0) >= true ;
  ge_active(x,y) >= ge(x,y) ;
  div_active(0,s(y)) >= 0 ;
  div_active(s(x),s(y)) >= if_active(ge_active(x,y),s(div(minus(x,y),s(y))),0) ;
  div_active(x,y) >= div(x,y) ;
  if_active(true,x,y) >= mark(x) ;
  if_active(false,x,y) >= mark(y) ;
  if_active(x,y,z) >= if(x,y,z) ;
  Marked_div_active(s(x),s(y)) >= Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0) ;
  Marked_if_active(true,x,y) >= Marked_mark(x) ;
  Marked_if_active(false,x,y) >= Marked_mark(y) ;
  Marked_mark(s(x)) >= Marked_mark(x) ;
  Marked_mark(div(x,y)) >= Marked_div_active(mark(x),y) ;
  Marked_mark(div(x,y)) >= Marked_mark(x) ;
  Marked_mark(if(x,y,z)) >= Marked_if_active(mark(x),y,z) ;
  Marked_mark(if(x,y,z)) >= Marked_mark(x) ;
 }
 + Disjunctions:{ 
{
  Marked_div_active(s(x),s(y)) > Marked_if_active(ge_active(x,y),
                                  s(div(minus(x,y),s(y))),0) ;
 }
{
  Marked_if_active(true,x,y) > Marked_mark(x) ;
 }
{
  Marked_if_active(false,x,y) > Marked_mark(y) ;
 }
{
  Marked_mark(s(x)) > Marked_mark(x) ;
 }
{
  Marked_mark(div(x,y)) > Marked_div_active(mark(x),y) ;
 }
{
  Marked_mark(div(x,y)) > Marked_mark(x) ;
 }
{
  Marked_mark(if(x,y,z)) > Marked_if_active(mark(x),y,z) ;
 }
{
  Marked_mark(if(x,y,z)) > Marked_mark(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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: minus_active(0,y) >= 0
constraint: minus_active(s(x),s(y)) >= minus_active(x,y)
constraint: minus_active(x,y) >= minus(x,y)
constraint: mark(0) >= 0
constraint: mark(s(x)) >= s(mark(x))
constraint: mark(minus(x,y)) >= minus_active(x,y)
constraint: mark(ge(x,y)) >= ge_active(x,y)
constraint: mark(div(x,y)) >= div_active(mark(x),y)
constraint: mark(if(x,y,z)) >= if_active(mark(x),y,z)
constraint: ge_active(0,s(y)) >= false
constraint: ge_active(s(x),s(y)) >= ge_active(x,y)
constraint: ge_active(x,0) >= true
constraint: ge_active(x,y) >= ge(x,y)
constraint: div_active(0,s(y)) >= 0
constraint: div_active(s(x),s(y)) >= if_active(ge_active(x,y),
                                      s(div(minus(x,y),s(y))),0)
constraint: div_active(x,y) >= div(x,y)
constraint: if_active(true,x,y) >= mark(x)
constraint: if_active(false,x,y) >= mark(y)
constraint: if_active(x,y,z) >= if(x,y,z)
constraint: Marked_div_active(s(x),s(y)) >= Marked_if_active(ge_active(x,y),
                                             s(div(minus(x,y),s(y))),
                                             0)
constraint: Marked_if_active(true,x,y) >= Marked_mark(x)
constraint: Marked_if_active(false,x,y) >= Marked_mark(y)
constraint: Marked_mark(s(x)) >= Marked_mark(x)
constraint: Marked_mark(div(x,y)) >= Marked_div_active(mark(x),y)
constraint: Marked_mark(div(x,y)) >= Marked_mark(x)
constraint: Marked_mark(if(x,y,z)) >= Marked_if_active(mark(x),y,z)
constraint: Marked_mark(if(x,y,z)) >= Marked_mark(x)
APPLY CRITERIA (Subterm criterion)

ST: Marked_minus_active -> 1

APPLY CRITERIA (Subterm criterion)

ST: Marked_ge_active -> 1

APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_if_active(false,x,y) , Marked_mark(y)> 
      --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0)> 
     --> <Marked_if_active(false,x,y) , Marked_mark(y)>
  <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0)> 
     --> <Marked_if_active(true,x,y) , Marked_mark(x)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_mark(if(x,y,z)) , Marked_mark(x)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)> 
     --> <Marked_if_active(false,x,y) , Marked_mark(y)>
  <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)> 
     --> <Marked_if_active(true,x,y) , Marked_mark(x)>
  <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)> 
     --> <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                          s(div(minus(x,y),s(y))),0)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_mark(x)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_mark(s(x)) , Marked_mark(x)> --> <Marked_mark(s(x)) , Marked_mark(x)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  minus_active(0,y) >= 0 ;
  minus_active(s(x),s(y)) >= minus_active(x,y) ;
  minus_active(x,y) >= minus(x,y) ;
  mark(0) >= 0 ;
  mark(s(x)) >= s(mark(x)) ;
  mark(minus(x,y)) >= minus_active(x,y) ;
  mark(ge(x,y)) >= ge_active(x,y) ;
  mark(div(x,y)) >= div_active(mark(x),y) ;
  mark(if(x,y,z)) >= if_active(mark(x),y,z) ;
  ge_active(0,s(y)) >= false ;
  ge_active(s(x),s(y)) >= ge_active(x,y) ;
  ge_active(x,0) >= true ;
  ge_active(x,y) >= ge(x,y) ;
  div_active(0,s(y)) >= 0 ;
  div_active(s(x),s(y)) >= if_active(ge_active(x,y),s(div(minus(x,y),s(y))),0) ;
  div_active(x,y) >= div(x,y) ;
  if_active(true,x,y) >= mark(x) ;
  if_active(false,x,y) >= mark(y) ;
  if_active(x,y,z) >= if(x,y,z) ;
  Marked_div_active(s(x),s(y)) >= Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0) ;
  Marked_if_active(true,x,y) >= Marked_mark(x) ;
  Marked_if_active(false,x,y) >= Marked_mark(y) ;
  Marked_mark(s(x)) >= Marked_mark(x) ;
  Marked_mark(div(x,y)) >= Marked_div_active(mark(x),y) ;
  Marked_mark(if(x,y,z)) >= Marked_if_active(mark(x),y,z) ;
  Marked_mark(if(x,y,z)) >= Marked_mark(x) ;
 }
 + Disjunctions:{ 
{
  Marked_div_active(s(x),s(y)) > Marked_if_active(ge_active(x,y),
                                  s(div(minus(x,y),s(y))),0) ;
 }
{
  Marked_if_active(true,x,y) > Marked_mark(x) ;
 }
{
  Marked_if_active(false,x,y) > Marked_mark(y) ;
 }
{
  Marked_mark(s(x)) > Marked_mark(x) ;
 }
{
  Marked_mark(div(x,y)) > Marked_div_active(mark(x),y) ;
 }
{
  Marked_mark(if(x,y,z)) > Marked_if_active(mark(x),y,z) ;
 }
{
  Marked_mark(if(x,y,z)) > Marked_mark(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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: minus_active(0,y) >= 0
constraint: minus_active(s(x),s(y)) >= minus_active(x,y)
constraint: minus_active(x,y) >= minus(x,y)
constraint: mark(0) >= 0
constraint: mark(s(x)) >= s(mark(x))
constraint: mark(minus(x,y)) >= minus_active(x,y)
constraint: mark(ge(x,y)) >= ge_active(x,y)
constraint: mark(div(x,y)) >= div_active(mark(x),y)
constraint: mark(if(x,y,z)) >= if_active(mark(x),y,z)
constraint: ge_active(0,s(y)) >= false
constraint: ge_active(s(x),s(y)) >= ge_active(x,y)
constraint: ge_active(x,0) >= true
constraint: ge_active(x,y) >= ge(x,y)
constraint: div_active(0,s(y)) >= 0
constraint: div_active(s(x),s(y)) >= if_active(ge_active(x,y),
                                      s(div(minus(x,y),s(y))),0)
constraint: div_active(x,y) >= div(x,y)
constraint: if_active(true,x,y) >= mark(x)
constraint: if_active(false,x,y) >= mark(y)
constraint: if_active(x,y,z) >= if(x,y,z)
constraint: Marked_div_active(s(x),s(y)) >= Marked_if_active(ge_active(x,y),
                                             s(div(minus(x,y),s(y))),
                                             0)
constraint: Marked_if_active(true,x,y) >= Marked_mark(x)
constraint: Marked_if_active(false,x,y) >= Marked_mark(y)
constraint: Marked_mark(s(x)) >= Marked_mark(x)
constraint: Marked_mark(div(x,y)) >= Marked_div_active(mark(x),y)
constraint: Marked_mark(if(x,y,z)) >= Marked_if_active(mark(x),y,z)
constraint: Marked_mark(if(x,y,z)) >= Marked_mark(x)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_if_active(false,x,y) , Marked_mark(y)> 
      --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_if_active(false,x,y) , Marked_mark(y)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_if_active(true,x,y) , Marked_mark(x)> 
     --> <Marked_mark(s(x)) , Marked_mark(x)>
  <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0)> 
     --> <Marked_if_active(false,x,y) , Marked_mark(y)>
  <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0)> 
     --> <Marked_if_active(true,x,y) , Marked_mark(x)>
  <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)> 
     --> <Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                          s(div(minus(x,y),s(y))),0)>
  <Marked_mark(s(x)) , Marked_mark(x)> 
     --> <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
  <Marked_mark(s(x)) , Marked_mark(x)> --> <Marked_mark(s(x)) , Marked_mark(x)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  minus_active(0,y) >= 0 ;
  minus_active(s(x),s(y)) >= minus_active(x,y) ;
  minus_active(x,y) >= minus(x,y) ;
  mark(0) >= 0 ;
  mark(s(x)) >= s(mark(x)) ;
  mark(minus(x,y)) >= minus_active(x,y) ;
  mark(ge(x,y)) >= ge_active(x,y) ;
  mark(div(x,y)) >= div_active(mark(x),y) ;
  mark(if(x,y,z)) >= if_active(mark(x),y,z) ;
  ge_active(0,s(y)) >= false ;
  ge_active(s(x),s(y)) >= ge_active(x,y) ;
  ge_active(x,0) >= true ;
  ge_active(x,y) >= ge(x,y) ;
  div_active(0,s(y)) >= 0 ;
  div_active(s(x),s(y)) >= if_active(ge_active(x,y),s(div(minus(x,y),s(y))),0) ;
  div_active(x,y) >= div(x,y) ;
  if_active(true,x,y) >= mark(x) ;
  if_active(false,x,y) >= mark(y) ;
  if_active(x,y,z) >= if(x,y,z) ;
  Marked_div_active(s(x),s(y)) >= Marked_if_active(ge_active(x,y),
                                   s(div(minus(x,y),s(y))),0) ;
  Marked_if_active(true,x,y) >= Marked_mark(x) ;
  Marked_if_active(false,x,y) >= Marked_mark(y) ;
  Marked_mark(s(x)) >= Marked_mark(x) ;
  Marked_mark(div(x,y)) >= Marked_div_active(mark(x),y) ;
 }
 + Disjunctions:{ 
{
  Marked_div_active(s(x),s(y)) > Marked_if_active(ge_active(x,y),
                                  s(div(minus(x,y),s(y))),0) ;
 }
{
  Marked_if_active(true,x,y) > Marked_mark(x) ;
 }
{
  Marked_if_active(false,x,y) > Marked_mark(y) ;
 }
{
  Marked_mark(s(x)) > Marked_mark(x) ;
 }
{
  Marked_mark(div(x,y)) > Marked_div_active(mark(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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: minus_active(0,y) >= 0
constraint: minus_active(s(x),s(y)) >= minus_active(x,y)
constraint: minus_active(x,y) >= minus(x,y)
constraint: mark(0) >= 0
constraint: mark(s(x)) >= s(mark(x))
constraint: mark(minus(x,y)) >= minus_active(x,y)
constraint: mark(ge(x,y)) >= ge_active(x,y)
constraint: mark(div(x,y)) >= div_active(mark(x),y)
constraint: mark(if(x,y,z)) >= if_active(mark(x),y,z)
constraint: ge_active(0,s(y)) >= false
constraint: ge_active(s(x),s(y)) >= ge_active(x,y)
constraint: ge_active(x,0) >= true
constraint: ge_active(x,y) >= ge(x,y)
constraint: div_active(0,s(y)) >= 0
constraint: div_active(s(x),s(y)) >= if_active(ge_active(x,y),
                                      s(div(minus(x,y),s(y))),0)
constraint: div_active(x,y) >= div(x,y)
constraint: if_active(true,x,y) >= mark(x)
constraint: if_active(false,x,y) >= mark(y)
constraint: if_active(x,y,z) >= if(x,y,z)
constraint: Marked_div_active(s(x),s(y)) >= Marked_if_active(ge_active(x,y),
                                             s(div(minus(x,y),s(y))),
                                             0)
constraint: Marked_if_active(true,x,y) >= Marked_mark(x)
constraint: Marked_if_active(false,x,y) >= Marked_mark(y)
constraint: Marked_mark(s(x)) >= Marked_mark(x)
constraint: Marked_mark(div(x,y)) >= Marked_div_active(mark(x),y)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] minus_active(0,y) -> 0
[2] mark(0) -> 0
[3] minus_active(s(x),s(y)) -> minus_active(x,y)
[4] mark(s(x)) -> s(mark(x))
[5] ge_active(x,0) -> true
[6] mark(minus(x,y)) -> minus_active(x,y)
[7] ge_active(0,s(y)) -> false
[8] mark(ge(x,y)) -> ge_active(x,y)
[9] ge_active(s(x),s(y)) -> ge_active(x,y)
[10] mark(div(x,y)) -> div_active(mark(x),y)
[11] div_active(0,s(y)) -> 0
[12] mark(if(x,y,z)) -> if_active(mark(x),y,z)
[13] div_active(s(x),s(y)) ->
 if_active(ge_active(x,y),s(div(minus(x,y),s(y))),0)
[14] if_active(true,x,y) -> mark(x)
[15] minus_active(x,y) -> minus(x,y)
[16] if_active(false,x,y) -> mark(y)
[17] ge_active(x,y) -> ge(x,y)
[18] if_active(x,y,z) -> if(x,y,z)
[19] div_active(x,y) -> div(x,y)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_minus_active(s(x),s(y)) , Marked_minus_active(x,y)>
<Marked_mark(s(x)) , Marked_mark(x)>
<Marked_mark(minus(x,y)) , Marked_minus_active(x,y)>
<Marked_mark(ge(x,y)) , Marked_ge_active(x,y)>
<Marked_ge_active(s(x),s(y)) , Marked_ge_active(x,y)>
<Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_mark(div(x,y)) , Marked_mark(x)>
<Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
<Marked_mark(if(x,y,z)) , Marked_mark(x)>
<Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                 s(div(minus(x,y),s(y))),0)>
<Marked_div_active(s(x),s(y)) , Marked_ge_active(x,y)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(s(x)) , Marked_mark(x)>
<Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_mark(div(x,y)) , Marked_mark(x)>
<Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
<Marked_mark(if(x,y,z)) , Marked_mark(x)>
<Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                 s(div(minus(x,y),s(y))),0)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ 0 ] () = 0; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ ge ] (X0,X1) = 0; 
 [ true ] () = 0; 
 [ if ] (X0,X1,X2) = 1*X2 + 1*X1 + 2*X0; 
 [ mark ] (X0) = 2*X0; 
 [ div ] (X0,X1) = 2*X0 + 1; 
 [ minus ] (X0,X1) = 0; 
 [ Marked_if_active ] (X0,X1,X2) = 2*X2 + 2*X1; 
 [ minus_active ] (X0,X1) = 0; 
 [ div_active ] (X0,X1) = 2*X0 + 2; 
 [ ge_active ] (X0,X1) = 0; 
 [ Marked_div_active ] (X0,X1) = 2; 
 [ s ] (X0) = 1*X0; 
 [ if_active ] (X0,X1,X2) = 2*X2 + 2*X1 + 2*X0; 
 [ false ] () = 0; 
 removing <Marked_mark(div(x,y)),Marked_mark(x)>
 [ {
      
     DP termination of:
     <Marked_mark(s(x)) , Marked_mark(x)>
<Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
<Marked_mark(if(x,y,z)) , Marked_mark(x)>
<Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                 s(div(minus(x,y),s(y))),0)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(s(x)) , Marked_mark(x)>
<Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_mark(if(x,y,z)) , Marked_if_active(mark(x),y,z)>
<Marked_mark(if(x,y,z)) , Marked_mark(x)>
<Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                 s(div(minus(x,y),s(y))),0)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ 0 ] () = 0; 
 [ Marked_mark ] (X0) = 2*X0; 
 [ ge ] (X0,X1) = 0; 
 [ true ] () = 0; 
 [ if ] (X0,X1,X2) = 2*X2 + 2*X1 + 1*X0 + 1; 
 [ mark ] (X0) = 3*X0 + 2; 
 [ div ] (X0,X1) = 0; 
 [ minus ] (X0,X1) = 0; 
 [ Marked_if_active ] (X0,X1,X2) = 2*X2 + 2*X1; 
 [ minus_active ] (X0,X1) = 0; 
 [ div_active ] (X0,X1) = 2; 
 [ ge_active ] (X0,X1) = 0; 
 [ Marked_div_active ] (X0,X1) = 0; 
 [ s ] (X0) = 1*X0; 
 [ if_active ] (X0,X1,X2) = 3*X2 + 3*X1 + 1*X0 + 2; 
 [ false ] () = 0; 
 removing <Marked_mark(if(x,y,z)),Marked_if_active(mark(x),y,z)><Marked_mark(
                                                                  if(
                                                                   x,
                                                                   y,
                                                                   z)),
Marked_mark(x)>
 [ {
      
     DP termination of:
     <Marked_mark(s(x)) , Marked_mark(x)>
<Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                 s(div(minus(x,y),s(y))),0)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_mark(s(x)) , Marked_mark(x)>
<Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_div_active(s(x),s(y)) , Marked_if_active(ge_active(x,y),
                                 s(div(minus(x,y),s(y))),0)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ 0 ] () = 0; 
 [ Marked_mark ] (X0) = 1*X0; 
 [ ge ] (X0,X1) = 0; 
 [ true ] () = 0; 
 [ if ] (X0,X1,X2) = 1*X2 + 2*X1; 
 [ mark ] (X0) = 1*X0; 
 [ div ] (X0,X1) = 2*X0; 
 [ minus ] (X0,X1) = 0; 
 [ Marked_if_active ] (X0,X1,X2) = 1*X2 + 1*X1; 
 [ minus_active ] (X0,X1) = 0; 
 [ div_active ] (X0,X1) = 2*X0; 
 [ ge_active ] (X0,X1) = 0; 
 [ Marked_div_active ] (X0,X1) = 2*X0; 
 [ s ] (X0) = 2*X0 + 2; 
 [ if_active ] (X0,X1,X2) = 1*X2 + 2*X1; 
 [ false ] () = 0; 
 removing <Marked_mark(s(x)),Marked_mark(x)><Marked_div_active(s(x),s(y)),
Marked_if_active(ge_active(x,y),s(div(minus(x,y),s(y))),0)>
 [ {
      
     DP termination of:
     <Marked_mark(div(x,y)) , Marked_div_active(mark(x),y)>
<Marked_if_active(true,x,y) , Marked_mark(x)>
<Marked_if_active(false,x,y) , Marked_mark(y)>
 ,
 CRITERION: SG
 [  ]} 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 
{
 
DP termination of:
<Marked_minus_active(s(x),s(y)) , Marked_minus_active(x,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
{
 
DP termination of:
<Marked_ge_active(s(x),s(y)) , Marked_ge_active(x,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.483387 seconds (real time)
Cime Exit Status: 0