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

TRS termination of:
[1] and(x,or(y,z)) -> or(and(x,y),and(x,z))
[2] and(x,and(y,y)) -> and(x,y)
[3] or(or(x,y),and(y,z)) -> or(x,y)
[4] or(x,and(x,y)) -> x
[5] or(true,y) -> true
[6] or(x,false) -> x
[7] or(x,x) -> x
[8] or(x,or(y,y)) -> or(x,y)
[9] and(x,true) -> x
[10] and(false,y) -> false
[11] and(x,x) -> x


Sub problem: 
guided: 

DP termination of:
<Marked_and(x,or(y,z)) , Marked_or(and(x,y),and(x,z))>
<Marked_and(x,or(y,z)) , Marked_and(x,y)>
<Marked_and(x,or(y,z)) , Marked_and(x,z)>
<Marked_and(x,and(y,y)) , Marked_and(x,y)>
<Marked_or(x,or(y,y)) , Marked_or(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_and(x,and(y,y)) , Marked_and(x,y)> 
      --> <Marked_and(x,and(y,y)) , Marked_and(x,y)>
  <Marked_and(x,and(y,y)) , Marked_and(x,y)> 
     --> <Marked_and(x,or(y,z)) , Marked_and(x,z)>
  <Marked_and(x,and(y,y)) , Marked_and(x,y)> 
     --> <Marked_and(x,or(y,z)) , Marked_and(x,y)>
  <Marked_and(x,or(y,z)) , Marked_and(x,z)> 
     --> <Marked_and(x,and(y,y)) , Marked_and(x,y)>
  <Marked_and(x,or(y,z)) , Marked_and(x,z)> 
     --> <Marked_and(x,or(y,z)) , Marked_and(x,z)>
  <Marked_and(x,or(y,z)) , Marked_and(x,z)> 
     --> <Marked_and(x,or(y,z)) , Marked_and(x,y)>
  <Marked_and(x,or(y,z)) , Marked_and(x,y)> 
     --> <Marked_and(x,and(y,y)) , Marked_and(x,y)>
  <Marked_and(x,or(y,z)) , Marked_and(x,y)> 
     --> <Marked_and(x,or(y,z)) , Marked_and(x,z)>
  <Marked_and(x,or(y,z)) , Marked_and(x,y)> 
     --> <Marked_and(x,or(y,z)) , Marked_and(x,y)>
}

{  <Marked_or(x,or(y,y)) , Marked_or(x,y)> 
      --> <Marked_or(x,or(y,y)) , Marked_or(x,y)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_and -> 2

APPLY CRITERIA (Subterm criterion)

ST: Marked_or -> 2

APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] and(x,or(y,z)) -> or(and(x,y),and(x,z))
[2] and(x,and(y,y)) -> and(x,y)
[3] or(or(x,y),and(y,z)) -> or(x,y)
[4] or(x,and(x,y)) -> x
[5] or(true,y) -> true
[6] or(x,false) -> x
[7] or(x,x) -> x
[8] or(x,or(y,y)) -> or(x,y)
[9] and(x,true) -> x
[10] and(false,y) -> false
[11] and(x,x) -> x
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_and(x,or(y,z)) , Marked_or(and(x,y),and(x,z))>
<Marked_and(x,or(y,z)) , Marked_and(x,y)>
<Marked_and(x,or(y,z)) , Marked_and(x,z)>
<Marked_and(x,and(y,y)) , Marked_and(x,y)>
<Marked_or(x,or(y,y)) , Marked_or(x,y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_and(x,or(y,z)) , Marked_and(x,y)>
<Marked_and(x,or(y,z)) , Marked_and(x,z)>
<Marked_and(x,and(y,y)) , Marked_and(x,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
{
 
DP termination of:
<Marked_or(x,or(y,y)) , Marked_or(x,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.009064 seconds (real time)
Cime Exit Status: 0