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

TRS termination of:
[1] cond(true,x) -> cond(and(even(x),gr(x,0)),p(x))
[2] and(x,false) -> false
[3] and(false,x) -> false
[4] and(true,true) -> true
[5] even(0) -> true
[6] even(s(0)) -> false
[7] even(s(s(x))) -> even(x)
[8] gr(0,x) -> false
[9] gr(s(x),0) -> true
[10] gr(s(x),s(y)) -> gr(x,y)
[11] p(0) -> 0
[12] p(s(x)) -> x


Sub problem: 
guided: 

DP termination of:
<Marked_cond(true,x) , Marked_cond(and(even(x),gr(x,0)),p(x))>
<Marked_cond(true,x) , Marked_and(even(x),gr(x,0))>
<Marked_cond(true,x) , Marked_even(x)>
<Marked_cond(true,x) , Marked_gr(x,0)>
<Marked_cond(true,x) , Marked_p(x)>
<Marked_even(s(s(x))) , Marked_even(x)>
<Marked_gr(s(x),s(y)) , Marked_gr(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_cond(true,x) , Marked_cond(and(even(x),gr(x,0)),p(x))> 
      --> <Marked_cond(true,x) , Marked_cond(and(even(x),gr(x,0)),p(x))>
}

{  <Marked_even(s(s(x))) , Marked_even(x)> 
      --> <Marked_even(s(s(x))) , Marked_even(x)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cond(true,x) >= cond(and(even(x),gr(x,0)),p(x)) ;
  and(true,true) >= true ;
  and(false,x) >= false ;
  and(x,false) >= false ;
  even(0) >= true ;
  even(s(0)) >= false ;
  even(s(s(x))) >= even(x) ;
  gr(0,x) >= false ;
  gr(s(x),0) >= true ;
  gr(s(x),s(y)) >= gr(x,y) ;
  p(0) >= 0 ;
  p(s(x)) >= x ;
  Marked_cond(true,x) >= Marked_cond(and(even(x),gr(x,0)),p(x)) ;
 }
 + Disjunctions:{ 
{
  Marked_cond(true,x) > Marked_cond(and(even(x),gr(x,0)),p(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 : 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:
{
  cond(true,x) >= cond(and(even(x),gr(x,0)),p(x)) ;
  and(true,true) >= true ;
  and(false,x) >= false ;
  and(x,false) >= false ;
  even(0) >= true ;
  even(s(0)) >= false ;
  even(s(s(x))) >= even(x) ;
  gr(0,x) >= false ;
  gr(s(x),0) >= true ;
  gr(s(x),s(y)) >= gr(x,y) ;
  p(0) >= 0 ;
  p(s(x)) >= x ;
  Marked_cond(true,x) > Marked_cond(and(even(x),gr(x,0)),p(x)) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  cond(true,x) >= cond(and(even(x),gr(x,0)),p(x)) ;
  and(true,true) >= true ;
  and(false,x) >= false ;
  and(x,false) >= false ;
  even(0) >= true ;
  even(s(0)) >= false ;
  even(s(s(x))) >= even(x) ;
  gr(0,x) >= false ;
  gr(s(x),0) >= true ;
  gr(s(x),s(y)) >= gr(x,y) ;
  p(0) >= 0 ;
  p(s(x)) >= x ;
  Marked_cond(true,x) > Marked_cond(and(even(x),gr(x,0)),p(x)) ;
 }
 + 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.(976 bt (57) [68])
=== 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 18.923761 seconds (real time)
Cime Exit Status: 0