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

TRS termination of:
[1] active(f(X)) -> mark(if(X,c,f(true)))
[2] active(if(true,X,Y)) -> mark(X)
[3] active(if(false,X,Y)) -> mark(Y)
[4] mark(f(X)) -> active(f(mark(X)))
[5] mark(if(X1,X2,X3)) -> active(if(mark(X1),mark(X2),X3))
[6] mark(c) -> active(c)
[7] mark(true) -> active(true)
[8] mark(false) -> active(false)
[9] f(mark(X)) -> f(X)
[10] f(active(X)) -> f(X)
[11] if(mark(X1),X2,X3) -> if(X1,X2,X3)
[12] if(X1,mark(X2),X3) -> if(X1,X2,X3)
[13] if(X1,X2,mark(X3)) -> if(X1,X2,X3)
[14] if(active(X1),X2,X3) -> if(X1,X2,X3)
[15] if(X1,active(X2),X3) -> if(X1,X2,X3)
[16] if(X1,X2,active(X3)) -> if(X1,X2,X3)


Sub problem: 
guided: 

DP termination of:
<Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))>
<Marked_active(f(X)) , Marked_if(X,c,f(true))>
<Marked_active(f(X)) , Marked_f(true)>
<Marked_active(if(true,X,Y)) , Marked_mark(X)>
<Marked_active(if(false,X,Y)) , Marked_mark(Y)>
<Marked_mark(f(X)) , Marked_active(f(mark(X)))>
<Marked_mark(f(X)) , Marked_f(mark(X))>
<Marked_mark(f(X)) , Marked_mark(X)>
<Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))>
<Marked_mark(if(X1,X2,X3)) , Marked_if(mark(X1),mark(X2),X3)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)>
<Marked_mark(c) , Marked_active(c)>
<Marked_mark(true) , Marked_active(true)>
<Marked_mark(false) , Marked_active(false)>
<Marked_f(mark(X)) , Marked_f(X)>
<Marked_f(active(X)) , Marked_f(X)>
<Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
<Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
<Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)> 
      --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)> 
     --> <Marked_mark(f(X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)> 
     --> <Marked_mark(f(X)) , Marked_active(f(mark(X)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(f(X)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(f(X)) , Marked_active(f(mark(X)))>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))> 
     --> <Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))>
  <Marked_mark(f(X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)>
  <Marked_mark(f(X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(f(X)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))>
  <Marked_mark(f(X)) , Marked_mark(X)> --> <Marked_mark(f(X)) , Marked_mark(X)>
  <Marked_mark(f(X)) , Marked_mark(X)> 
     --> <Marked_mark(f(X)) , Marked_active(f(mark(X)))>
  <Marked_mark(f(X)) , Marked_active(f(mark(X)))> 
     --> <Marked_active(if(false,X,Y)) , Marked_mark(Y)>
  <Marked_mark(f(X)) , Marked_active(f(mark(X)))> 
     --> <Marked_active(if(true,X,Y)) , Marked_mark(X)>
  <Marked_mark(f(X)) , Marked_active(f(mark(X)))> 
     --> <Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(f(X)) , Marked_mark(X)>
  <Marked_active(if(false,X,Y)) , Marked_mark(Y)> 
     --> <Marked_mark(f(X)) , Marked_active(f(mark(X)))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(f(X)) , Marked_mark(X)>
  <Marked_active(if(true,X,Y)) , Marked_mark(X)> 
     --> <Marked_mark(f(X)) , Marked_active(f(mark(X)))>
  <Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X2)>
  <Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))> 
     --> <Marked_mark(if(X1,X2,X3)) , Marked_active(if(mark(X1),mark(X2),X3))>
  <Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))> 
     --> <Marked_mark(f(X)) , Marked_mark(X)>
  <Marked_active(f(X)) , Marked_mark(if(X,c,f(true)))> 
     --> <Marked_mark(f(X)) , Marked_active(f(mark(X)))>
}

{  <Marked_f(active(X)) , Marked_f(X)> --> <Marked_f(active(X)) , Marked_f(X)>
  <Marked_f(active(X)) , Marked_f(X)> --> <Marked_f(mark(X)) , Marked_f(X)>
  <Marked_f(mark(X)) , Marked_f(X)> --> <Marked_f(active(X)) , Marked_f(X)>
  <Marked_f(mark(X)) , Marked_f(X)> --> <Marked_f(mark(X)) , Marked_f(X)>
}

{  <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)> 
      --> <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,active(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,active(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(active(X1),X2,X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,X2,mark(X3)) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(X1,mark(X2),X3) , Marked_if(X1,X2,X3)>
  <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)> 
     --> <Marked_if(mark(X1),X2,X3) , Marked_if(X1,X2,X3)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(if(X1,X2,X3)) >= active(if(mark(X1),mark(X2),X3)) ;
  mark(c) >= active(c) ;
  mark(f(X)) >= active(f(mark(X))) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  f(mark(X)) >= f(X) ;
  f(active(X)) >= f(X) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(f(X)) >= mark(if(X,c,f(true))) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_mark(X2) ;
  Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),mark(X2),X3)) ;
  Marked_mark(f(X)) >= Marked_mark(X) ;
  Marked_mark(f(X)) >= Marked_active(f(mark(X))) ;
  Marked_active(if(true,X,Y)) >= Marked_mark(X) ;
  Marked_active(if(false,X,Y)) >= Marked_mark(Y) ;
  Marked_active(f(X)) >= Marked_mark(if(X,c,f(true))) ;
 }
 + Disjunctions:{ 
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X1) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_mark(X2) ;
 }
{
  Marked_mark(if(X1,X2,X3)) > Marked_active(if(mark(X1),mark(X2),X3)) ;
 }
{
  Marked_mark(f(X)) > Marked_mark(X) ;
 }
{
  Marked_mark(f(X)) > Marked_active(f(mark(X))) ;
 }
{
  Marked_active(if(true,X,Y)) > Marked_mark(X) ;
 }
{
  Marked_active(if(false,X,Y)) > Marked_mark(Y) ;
 }
{
  Marked_active(f(X)) > Marked_mark(if(X,c,f(true))) ;
 }
 } 
=== 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: mark(if(X1,X2,X3)) >= active(if(mark(X1),mark(X2),X3))
constraint: mark(c) >= active(c)
constraint: mark(f(X)) >= active(f(mark(X)))
constraint: mark(true) >= active(true)
constraint: mark(false) >= active(false)
constraint: if(mark(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(active(X1),X2,X3) >= if(X1,X2,X3)
constraint: if(X1,mark(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,active(X2),X3) >= if(X1,X2,X3)
constraint: if(X1,X2,mark(X3)) >= if(X1,X2,X3)
constraint: if(X1,X2,active(X3)) >= if(X1,X2,X3)
constraint: f(mark(X)) >= f(X)
constraint: f(active(X)) >= f(X)
constraint: active(if(true,X,Y)) >= mark(X)
constraint: active(if(false,X,Y)) >= mark(Y)
constraint: active(f(X)) >= mark(if(X,c,f(true)))
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X1)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_mark(X2)
constraint: Marked_mark(if(X1,X2,X3)) >= Marked_active(if(mark(X1),mark(X2),X3))
constraint: Marked_mark(f(X)) >= Marked_mark(X)
constraint: Marked_mark(f(X)) >= Marked_active(f(mark(X)))
constraint: Marked_active(if(true,X,Y)) >= Marked_mark(X)
constraint: Marked_active(if(false,X,Y)) >= Marked_mark(Y)
constraint: Marked_active(f(X)) >= Marked_mark(if(X,c,f(true)))
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  mark(if(X1,X2,X3)) >= active(if(mark(X1),mark(X2),X3)) ;
  mark(c) >= active(c) ;
  mark(f(X)) >= active(f(mark(X))) ;
  mark(true) >= active(true) ;
  mark(false) >= active(false) ;
  if(mark(X1),X2,X3) >= if(X1,X2,X3) ;
  if(active(X1),X2,X3) >= if(X1,X2,X3) ;
  if(X1,mark(X2),X3) >= if(X1,X2,X3) ;
  if(X1,active(X2),X3) >= if(X1,X2,X3) ;
  if(X1,X2,mark(X3)) >= if(X1,X2,X3) ;
  if(X1,X2,active(X3)) >= if(X1,X2,X3) ;
  f(mark(X)) >= f(X) ;
  f(active(X)) >= f(X) ;
  active(if(true,X,Y)) >= mark(X) ;
  active(if(false,X,Y)) >= mark(Y) ;
  active(f(X)) >= mark(if(X,c,f(true))) ;
  Marked_f(mark(X)) >= Marked_f(X) ;
  Marked_f(active(X)) >= Marked_f(X) ;
 }
 + Disjunctions:{ 
{
  Marked_f(mark(X)) > Marked_f(X) ;
 }
{
  Marked_f(active(X)) > Marked_f(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 : 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 19.720093 seconds (real time)
Cime Exit Status: 0