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

TRS termination of:
[1] a(lambda(x),y) -> lambda(a(x,p(1,a(y,t))))
[2] a(p(x,y),z) -> p(a(x,z),a(y,z))
[3] a(a(x,y),z) -> a(x,a(y,z))
[4] a(id,x) -> x
[5] a(1,id) -> 1
[6] a(t,id) -> t
[7] a(1,p(x,y)) -> x
[8] a(t,p(x,y)) -> y


Sub problem: 
guided: 

DP termination of:
<Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))>
<Marked_a(lambda(x),y) , Marked_a(y,t)>
<Marked_a(p(x,y),z) , Marked_a(x,z)>
<Marked_a(p(x,y),z) , Marked_a(y,z)>
<Marked_a(a(x,y),z) , Marked_a(x,a(y,z))>
<Marked_a(a(x,y),z) , Marked_a(y,z)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_a(a(x,y),z) , Marked_a(y,z)> 
      --> <Marked_a(a(x,y),z) , Marked_a(y,z)>
  <Marked_a(a(x,y),z) , Marked_a(y,z)> 
     --> <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))>
  <Marked_a(a(x,y),z) , Marked_a(y,z)> --> <Marked_a(p(x,y),z) , Marked_a(y,z)>
  <Marked_a(a(x,y),z) , Marked_a(y,z)> --> <Marked_a(p(x,y),z) , Marked_a(x,z)>
  <Marked_a(a(x,y),z) , Marked_a(y,z)> 
     --> <Marked_a(lambda(x),y) , Marked_a(y,t)>
  <Marked_a(a(x,y),z) , Marked_a(y,z)> 
     --> <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))>
  <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))> 
     --> <Marked_a(a(x,y),z) , Marked_a(y,z)>
  <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))> 
     --> <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))>
  <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))> 
     --> <Marked_a(p(x,y),z) , Marked_a(y,z)>
  <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))> 
     --> <Marked_a(p(x,y),z) , Marked_a(x,z)>
  <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))> 
     --> <Marked_a(lambda(x),y) , Marked_a(y,t)>
  <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))> 
     --> <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))>
  <Marked_a(p(x,y),z) , Marked_a(y,z)> --> <Marked_a(a(x,y),z) , Marked_a(y,z)>
  <Marked_a(p(x,y),z) , Marked_a(y,z)> 
     --> <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))>
  <Marked_a(p(x,y),z) , Marked_a(y,z)> --> <Marked_a(p(x,y),z) , Marked_a(y,z)>
  <Marked_a(p(x,y),z) , Marked_a(y,z)> --> <Marked_a(p(x,y),z) , Marked_a(x,z)>
  <Marked_a(p(x,y),z) , Marked_a(y,z)> 
     --> <Marked_a(lambda(x),y) , Marked_a(y,t)>
  <Marked_a(p(x,y),z) , Marked_a(y,z)> 
     --> <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))>
  <Marked_a(p(x,y),z) , Marked_a(x,z)> --> <Marked_a(a(x,y),z) , Marked_a(y,z)>
  <Marked_a(p(x,y),z) , Marked_a(x,z)> 
     --> <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))>
  <Marked_a(p(x,y),z) , Marked_a(x,z)> --> <Marked_a(p(x,y),z) , Marked_a(y,z)>
  <Marked_a(p(x,y),z) , Marked_a(x,z)> --> <Marked_a(p(x,y),z) , Marked_a(x,z)>
  <Marked_a(p(x,y),z) , Marked_a(x,z)> 
     --> <Marked_a(lambda(x),y) , Marked_a(y,t)>
  <Marked_a(p(x,y),z) , Marked_a(x,z)> 
     --> <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))>
  <Marked_a(lambda(x),y) , Marked_a(y,t)> 
     --> <Marked_a(a(x,y),z) , Marked_a(y,z)>
  <Marked_a(lambda(x),y) , Marked_a(y,t)> 
     --> <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))>
  <Marked_a(lambda(x),y) , Marked_a(y,t)> 
     --> <Marked_a(p(x,y),z) , Marked_a(y,z)>
  <Marked_a(lambda(x),y) , Marked_a(y,t)> 
     --> <Marked_a(p(x,y),z) , Marked_a(x,z)>
  <Marked_a(lambda(x),y) , Marked_a(y,t)> 
     --> <Marked_a(lambda(x),y) , Marked_a(y,t)>
  <Marked_a(lambda(x),y) , Marked_a(y,t)> 
     --> <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))>
  <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))> 
     --> <Marked_a(a(x,y),z) , Marked_a(y,z)>
  <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))> 
     --> <Marked_a(a(x,y),z) , Marked_a(x,a(y,z))>
  <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))> 
     --> <Marked_a(p(x,y),z) , Marked_a(y,z)>
  <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))> 
     --> <Marked_a(p(x,y),z) , Marked_a(x,z)>
  <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))> 
     --> <Marked_a(lambda(x),y) , Marked_a(y,t)>
  <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))> 
     --> <Marked_a(lambda(x),y) , Marked_a(x,p(1,a(y,t)))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  a(lambda(x),y) >= lambda(a(x,p(1,a(y,t)))) ;
  a(a(x,y),z) >= a(x,a(y,z)) ;
  a(p(x,y),z) >= p(a(x,z),a(y,z)) ;
  a(1,p(x,y)) >= x ;
  a(1,id) >= 1 ;
  a(t,p(x,y)) >= y ;
  a(t,id) >= t ;
  a(id,x) >= x ;
  Marked_a(lambda(x),y) >= Marked_a(x,p(1,a(y,t))) ;
  Marked_a(lambda(x),y) >= Marked_a(y,t) ;
  Marked_a(a(x,y),z) >= Marked_a(x,a(y,z)) ;
  Marked_a(a(x,y),z) >= Marked_a(y,z) ;
  Marked_a(p(x,y),z) >= Marked_a(x,z) ;
  Marked_a(p(x,y),z) >= Marked_a(y,z) ;
 }
 + Disjunctions:{ 
{
  Marked_a(lambda(x),y) > Marked_a(x,p(1,a(y,t))) ;
 }
{
  Marked_a(lambda(x),y) > Marked_a(y,t) ;
 }
{
  Marked_a(a(x,y),z) > Marked_a(x,a(y,z)) ;
 }
{
  Marked_a(a(x,y),z) > Marked_a(y,z) ;
 }
{
  Marked_a(p(x,y),z) > Marked_a(x,z) ;
 }
{
  Marked_a(p(x,y),z) > Marked_a(y,z) ;
 }
 } 
=== 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 : 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 1.705984 seconds (real time)
Cime Exit Status: 0