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

TRS termination of:
[1] implies(not(x),y) -> or(x,y)
[2] implies(not(x),or(y,z)) -> implies(y,or(x,z))
[3] implies(x,or(y,z)) -> or(y,implies(x,z))


Sub problem: 
guided: 

DP termination of:
<Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
<Marked_implies(x,or(y,z)) , Marked_implies(x,z)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_implies(x,or(y,z)) , Marked_implies(x,z)> 
      --> <Marked_implies(x,or(y,z)) , Marked_implies(x,z)>
  <Marked_implies(x,or(y,z)) , Marked_implies(x,z)> 
     --> <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
  <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))> 
     --> <Marked_implies(x,or(y,z)) , Marked_implies(x,z)>
  <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))> 
     --> <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  implies(not(x),or(y,z)) >= implies(y,or(x,z)) ;
  implies(not(x),y) >= or(x,y) ;
  implies(x,or(y,z)) >= or(y,implies(x,z)) ;
  Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z)) ;
  Marked_implies(x,or(y,z)) >= Marked_implies(x,z) ;
 }
 + Disjunctions:{ 
{
  Marked_implies(not(x),or(y,z)) > Marked_implies(y,or(x,z)) ;
 }
{
  Marked_implies(x,or(y,z)) > Marked_implies(x,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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: implies(not(x),or(y,z)) >= implies(y,or(x,z))
constraint: implies(not(x),y) >= or(x,y)
constraint: implies(x,or(y,z)) >= or(y,implies(x,z))
constraint: Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z))
constraint: Marked_implies(x,or(y,z)) >= Marked_implies(x,z)
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))> 
      --> <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  implies(not(x),or(y,z)) >= implies(y,or(x,z)) ;
  implies(not(x),y) >= or(x,y) ;
  implies(x,or(y,z)) >= or(y,implies(x,z)) ;
  Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z)) ;
 }
 + Disjunctions:{ 
{
  Marked_implies(not(x),or(y,z)) > Marked_implies(y,or(x,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
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: implies(not(x),or(y,z)) >= implies(y,or(x,z))
constraint: implies(not(x),y) >= or(x,y)
constraint: implies(x,or(y,z)) >= or(y,implies(x,z))
constraint: Marked_implies(not(x),or(y,z)) >= Marked_implies(y,or(x,z))
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] implies(not(x),y) -> or(x,y)
[2] implies(not(x),or(y,z)) -> implies(y,or(x,z))
[3] implies(x,or(y,z)) -> or(y,implies(x,z))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
<Marked_implies(x,or(y,z)) , Marked_implies(x,z)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
<Marked_implies(x,or(y,z)) , Marked_implies(x,z)>
 ,
 CRITERION: CG using polynomial interpretation = 
 [ or ] (X0,X1) = 2*X1 + 2; 
 [ not ] (X0) = 0; 
 [ implies ] (X0,X1) = 3*X1 + 2; 
 [ Marked_implies ] (X0,X1) = 1*X1; 
 removing <Marked_implies(x,or(y,z)),Marked_implies(x,z)>
 [ {
      
     DP termination of:
     <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_implies(not(x),or(y,z)) , Marked_implies(y,or(x,z))>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ or ] (X0,X1) = 2 + 1*X0 + 0; 
 [ not ] (X0) = 1 + 2*X0 + 0; 
 [ implies ] (X0,X1) = 2 + 1*X0 + 2*X1 + 0; 
 [ Marked_implies ] (X0,X1) = 2*X0 + 2*X1 + 0; 
 ]} 
 ]} 
 ]} 
 ]} 
 ]} 

Cime worked for 0.027402 seconds (real time)
Cime Exit Status: 0