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

TRS termination of:
[1] h(c(x,y),c(s(z),z),t(w)) -> h(z,c(y,x),t(t(c(x,c(y,t(w))))))
[2] h(x,c(y,z),t(w)) -> h(c(s(y),x),z,t(c(t(w),w)))
[3] h(c(s(x),c(s(0),y)),z,t(x)) -> h(y,c(s(0),c(x,z)),t(t(c(x,s(x)))))
[4] t(t(x)) -> t(c(t(x),x))
[5] t(x) -> x
[6] t(x) -> c(0,c(0,c(0,c(0,c(0,x)))))


Sub problem: 
guided: 

DP termination of:
<Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_h(z,c(y,x),t(t(c(x,c(y,t(w))))))>
<Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_t(t(c(x,c(y,t(w)))))>
<Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_t(c(x,c(y,t(w))))>
<Marked_h(x,c(y,z),t(w)) , Marked_h(c(s(y),x),z,t(c(t(w),w)))>
<Marked_h(x,c(y,z),t(w)) , Marked_t(c(t(w),w))>
<Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_h(y,c(s(0),c(x,z)),
                                       t(t(c(x,s(x)))))>
<Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_t(t(c(x,s(x))))>
<Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_t(c(x,s(x)))>
<Marked_t(t(x)) , Marked_t(c(t(x),x))>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_h(y,c(s(0),c(x,z)),
                                          t(t(c(x,s(x)))))> 
      --> <Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_h(y,c(s(0),c(x,z)),
                                                 t(t(c(x,s(x)))))>
  <Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_h(y,c(s(0),c(x,z)),
                                         t(t(c(x,s(x)))))> 
     --> <Marked_h(x,c(y,z),t(w)) , Marked_h(c(s(y),x),z,t(c(t(w),w)))>
  <Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_h(y,c(s(0),c(x,z)),
                                         t(t(c(x,s(x)))))> 
     --> <Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_h(z,c(y,x),
                                             t(t(c(x,c(y,t(w))))))>
  <Marked_h(x,c(y,z),t(w)) , Marked_h(c(s(y),x),z,t(c(t(w),w)))> 
     --> <Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_h(y,c(s(0),c(x,z)),
                                                t(t(c(x,s(x)))))>
  <Marked_h(x,c(y,z),t(w)) , Marked_h(c(s(y),x),z,t(c(t(w),w)))> 
     --> <Marked_h(x,c(y,z),t(w)) , Marked_h(c(s(y),x),z,t(c(t(w),w)))>
  <Marked_h(x,c(y,z),t(w)) , Marked_h(c(s(y),x),z,t(c(t(w),w)))> 
     --> <Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_h(z,c(y,x),
                                             t(t(c(x,c(y,t(w))))))>
  <Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_h(z,c(y,x),t(t(c(x,c(y,t(w))))))> 
     --> <Marked_h(c(s(x),c(s(0),y)),z,t(x)) , Marked_h(y,c(s(0),c(x,z)),
                                                t(t(c(x,s(x)))))>
  <Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_h(z,c(y,x),t(t(c(x,c(y,t(w))))))> 
     --> <Marked_h(x,c(y,z),t(w)) , Marked_h(c(s(y),x),z,t(c(t(w),w)))>
  <Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_h(z,c(y,x),t(t(c(x,c(y,t(w))))))> 
     --> <Marked_h(c(x,y),c(s(z),z),t(w)) , Marked_h(z,c(y,x),
                                             t(t(c(x,c(y,t(w))))))>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  h(c(s(x),c(s(0),y)),z,t(x)) >= h(y,c(s(0),c(x,z)),t(t(c(x,s(x))))) ;
  h(c(x,y),c(s(z),z),t(w)) >= h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ;
  h(x,c(y,z),t(w)) >= h(c(s(y),x),z,t(c(t(w),w))) ;
  t(t(x)) >= t(c(t(x),x)) ;
  t(x) >= c(0,c(0,c(0,c(0,c(0,x))))) ;
  t(x) >= x ;
  Marked_h(c(s(x),c(s(0),y)),z,t(x)) >= Marked_h(y,c(s(0),c(x,z)),
                                         t(t(c(x,s(x))))) ;
  Marked_h(c(x,y),c(s(z),z),t(w)) >= Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ;
  Marked_h(x,c(y,z),t(w)) >= Marked_h(c(s(y),x),z,t(c(t(w),w))) ;
 }
 + Disjunctions:{ 
{
  Marked_h(c(s(x),c(s(0),y)),z,t(x)) > Marked_h(y,c(s(0),c(x,z)),
                                        t(t(c(x,s(x))))) ;
 }
{
  Marked_h(c(x,y),c(s(z),z),t(w)) > Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ;
 }
{
  Marked_h(x,c(y,z),t(w)) > Marked_h(c(s(y),x),z,t(c(t(w),w))) ;
 }
 } 
=== 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 : 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 timeout reached
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (Simple graph)
Found the following constraints:
{
  h(c(s(x),c(s(0),y)),z,t(x)) >= h(y,c(s(0),c(x,z)),t(t(c(x,s(x))))) ;
  h(c(x,y),c(s(z),z),t(w)) >= h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ;
  h(x,c(y,z),t(w)) >= h(c(s(y),x),z,t(c(t(w),w))) ;
  t(t(x)) >= t(c(t(x),x)) ;
  t(x) >= c(0,c(0,c(0,c(0,c(0,x))))) ;
  t(x) >= x ;
  Marked_h(c(s(x),c(s(0),y)),z,t(x)) > Marked_h(y,c(s(0),c(x,z)),
                                        t(t(c(x,s(x))))) ;
  Marked_h(c(x,y),c(s(z),z),t(w)) > Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ;
  Marked_h(x,c(y,z),t(w)) > Marked_h(c(s(y),x),z,t(c(t(w),w))) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  h(c(s(x),c(s(0),y)),z,t(x)) >= h(y,c(s(0),c(x,z)),t(t(c(x,s(x))))) ;
  h(c(x,y),c(s(z),z),t(w)) >= h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ;
  h(x,c(y,z),t(w)) >= h(c(s(y),x),z,t(c(t(w),w))) ;
  t(t(x)) >= t(c(t(x),x)) ;
  t(x) >= c(0,c(0,c(0,c(0,c(0,x))))) ;
  t(x) >= x ;
  Marked_h(c(s(x),c(s(0),y)),z,t(x)) > Marked_h(y,c(s(0),c(x,z)),
                                        t(t(c(x,s(x))))) ;
  Marked_h(c(x,y),c(s(z),z),t(w)) > Marked_h(z,c(y,x),t(t(c(x,c(y,t(w)))))) ;
  Marked_h(x,c(y,z),t(w)) > Marked_h(c(s(y),x),z,t(c(t(w),w))) ;
 }
 + 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.(132 bt (115) [42])
=== 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 139.585856 seconds (real time)
Cime Exit Status: 0