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

TRS termination of:
[1] le(0,y) -> true
[2] le(s(x),0) -> false
[3] le(s(x),s(y)) -> le(x,y)
[4] quot(x,0) -> quotZeroErro
[5] quot(x,s(y)) -> quotIter(x,s(y),0,0,0)
[6] quotIter(x,s(y),z,u,v) -> if(le(x,z),x,s(y),z,u,v)
[7] if(true,x,y,z,u,v) -> v
[8] if(false,x,y,z,u,v) -> if2(le(y,s(u)),x,y,s(z),s(u),v)
[9] if2(false,x,y,z,u,v) -> quotIter(x,y,z,u,v)
[10] if2(true,x,y,z,u,v) -> quotIter(x,y,z,0,s(v))


Sub problem: 
guided: 

DP termination of:
<Marked_le(s(x),s(y)) , Marked_le(x,y)>
<Marked_quot(x,s(y)) , Marked_quotIter(x,s(y),0,0,0)>
<Marked_quotIter(x,s(y),z,u,v) , Marked_if(le(x,z),x,s(y),z,u,v)>
<Marked_quotIter(x,s(y),z,u,v) , Marked_le(x,z)>
<Marked_if(false,x,y,z,u,v) , Marked_if2(le(y,s(u)),x,y,s(z),s(u),v)>
<Marked_if(false,x,y,z,u,v) , Marked_le(y,s(u))>
<Marked_if2(false,x,y,z,u,v) , Marked_quotIter(x,y,z,u,v)>
<Marked_if2(true,x,y,z,u,v) , Marked_quotIter(x,y,z,0,s(v))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_if2(true,x,y,z,u,v) , Marked_quotIter(x,y,z,0,s(v))> 
      --> <Marked_quotIter(x,s(y),z,u,v) , Marked_if(le(x,z),x,s(y),z,u,v)>
  <Marked_if2(false,x,y,z,u,v) , Marked_quotIter(x,y,z,u,v)> 
     --> <Marked_quotIter(x,s(y),z,u,v) , Marked_if(le(x,z),x,s(y),z,u,v)>
  <Marked_if(false,x,y,z,u,v) , Marked_if2(le(y,s(u)),x,y,s(z),s(u),v)> 
     --> <Marked_if2(true,x,y,z,u,v) , Marked_quotIter(x,y,z,0,s(v))>
  <Marked_if(false,x,y,z,u,v) , Marked_if2(le(y,s(u)),x,y,s(z),s(u),v)> 
     --> <Marked_if2(false,x,y,z,u,v) , Marked_quotIter(x,y,z,u,v)>
  <Marked_quotIter(x,s(y),z,u,v) , Marked_if(le(x,z),x,s(y),z,u,v)> 
     --> <Marked_if(false,x,y,z,u,v) , Marked_if2(le(y,s(u)),x,y,s(z),s(u),v)>
}

{  <Marked_le(s(x),s(y)) , Marked_le(x,y)> 
      --> <Marked_le(s(x),s(y)) , Marked_le(x,y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  le(0,y) >= true ;
  le(s(x),0) >= false ;
  le(s(x),s(y)) >= le(x,y) ;
  quot(x,0) >= quotZeroErro ;
  quot(x,s(y)) >= quotIter(x,s(y),0,0,0) ;
  quotIter(x,s(y),z,u,v) >= if(le(x,z),x,s(y),z,u,v) ;
  if(true,x,y,z,u,v) >= v ;
  if(false,x,y,z,u,v) >= if2(le(y,s(u)),x,y,s(z),s(u),v) ;
  if2(true,x,y,z,u,v) >= quotIter(x,y,z,0,s(v)) ;
  if2(false,x,y,z,u,v) >= quotIter(x,y,z,u,v) ;
  Marked_if2(true,x,y,z,u,v) >= Marked_quotIter(x,y,z,0,s(v)) ;
  Marked_if2(false,x,y,z,u,v) >= Marked_quotIter(x,y,z,u,v) ;
  Marked_quotIter(x,s(y),z,u,v) >= Marked_if(le(x,z),x,s(y),z,u,v) ;
  Marked_if(false,x,y,z,u,v) >= Marked_if2(le(y,s(u)),x,y,s(z),s(u),v) ;
 }
 + Disjunctions:{ 
{
  Marked_if2(true,x,y,z,u,v) > Marked_quotIter(x,y,z,0,s(v)) ;
 }
{
  Marked_if2(false,x,y,z,u,v) > Marked_quotIter(x,y,z,u,v) ;
 }
{
  Marked_quotIter(x,s(y),z,u,v) > Marked_if(le(x,z),x,s(y),z,u,v) ;
 }
{
  Marked_if(false,x,y,z,u,v) > Marked_if2(le(y,s(u)),x,y,s(z),s(u),v) ;
 }
 } 
=== 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 : 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 (Simple graph)
Found the following constraints:
{
  le(0,y) >= true ;
  le(s(x),0) >= false ;
  le(s(x),s(y)) >= le(x,y) ;
  quot(x,0) >= quotZeroErro ;
  quot(x,s(y)) >= quotIter(x,s(y),0,0,0) ;
  quotIter(x,s(y),z,u,v) >= if(le(x,z),x,s(y),z,u,v) ;
  if(true,x,y,z,u,v) >= v ;
  if(false,x,y,z,u,v) >= if2(le(y,s(u)),x,y,s(z),s(u),v) ;
  if2(true,x,y,z,u,v) >= quotIter(x,y,z,0,s(v)) ;
  if2(false,x,y,z,u,v) >= quotIter(x,y,z,u,v) ;
  Marked_if2(true,x,y,z,u,v) >= Marked_quotIter(x,y,z,0,s(v)) ;
  Marked_if2(false,x,y,z,u,v) > Marked_quotIter(x,y,z,u,v) ;
  Marked_quotIter(x,s(y),z,u,v) >= Marked_if(le(x,z),x,s(y),z,u,v) ;
  Marked_if(false,x,y,z,u,v) > Marked_if2(le(y,s(u)),x,y,s(z),s(u),v) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  le(0,y) >= true ;
  le(s(x),0) >= false ;
  le(s(x),s(y)) >= le(x,y) ;
  quot(x,0) >= quotZeroErro ;
  quot(x,s(y)) >= quotIter(x,s(y),0,0,0) ;
  quotIter(x,s(y),z,u,v) >= if(le(x,z),x,s(y),z,u,v) ;
  if(true,x,y,z,u,v) >= v ;
  if(false,x,y,z,u,v) >= if2(le(y,s(u)),x,y,s(z),s(u),v) ;
  if2(true,x,y,z,u,v) >= quotIter(x,y,z,0,s(v)) ;
  if2(false,x,y,z,u,v) >= quotIter(x,y,z,u,v) ;
  Marked_if2(true,x,y,z,u,v) >= Marked_quotIter(x,y,z,0,s(v)) ;
  Marked_if2(false,x,y,z,u,v) > Marked_quotIter(x,y,z,u,v) ;
  Marked_quotIter(x,s(y),z,u,v) >= Marked_if(le(x,z),x,s(y),z,u,v) ;
  Marked_if(false,x,y,z,u,v) > Marked_if2(le(y,s(u)),x,y,s(z),s(u),v) ;
 }
 + Disjunctions:{ 
 } 
=== 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 ===
No solution found for these parameters.(83645 bt (88065) [3349])
=== 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 32.008877 seconds (real time)
Cime Exit Status: 0