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

TRS termination of:
[1] minus(0) -> 0
[2] +(x,0) -> x
[3] +(0,y) -> y
[4] +(minus(1),1) -> 0
[5] minus(minus(x)) -> x
[6] +(x,minus(y)) -> minus(+(minus(x),y))
[7] +(x,+(y,z)) -> +(+(x,y),z)
[8] +(minus(+(x,1)),1) -> minus(x)


Sub problem: 
guided: 

DP termination of:
<Marked_+(x,minus(y)) , Marked_minus(+(minus(x),y))>
<Marked_+(x,minus(y)) , Marked_+(minus(x),y)>
<Marked_+(x,minus(y)) , Marked_minus(x)>
<Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
<Marked_+(x,+(y,z)) , Marked_+(x,y)>
<Marked_+(minus(+(x,1)),1) , Marked_minus(x)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_+(x,+(y,z)) , Marked_+(x,y)> 
      --> <Marked_+(x,+(y,z)) , Marked_+(x,y)>
  <Marked_+(x,+(y,z)) , Marked_+(x,y)> 
     --> <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
  <Marked_+(x,+(y,z)) , Marked_+(x,y)> 
     --> <Marked_+(x,minus(y)) , Marked_+(minus(x),y)>
  <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)> 
     --> <Marked_+(x,+(y,z)) , Marked_+(x,y)>
  <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)> 
     --> <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
  <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)> 
     --> <Marked_+(x,minus(y)) , Marked_+(minus(x),y)>
  <Marked_+(x,minus(y)) , Marked_+(minus(x),y)> 
     --> <Marked_+(x,+(y,z)) , Marked_+(x,y)>
  <Marked_+(x,minus(y)) , Marked_+(minus(x),y)> 
     --> <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
  <Marked_+(x,minus(y)) , Marked_+(minus(x),y)> 
     --> <Marked_+(x,minus(y)) , Marked_+(minus(x),y)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_+ -> 2

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] minus(0) -> 0
[2] +(x,0) -> x
[3] +(0,y) -> y
[4] +(minus(1),1) -> 0
[5] minus(minus(x)) -> x
[6] +(x,minus(y)) -> minus(+(minus(x),y))
[7] +(x,+(y,z)) -> +(+(x,y),z)
[8] +(minus(+(x,1)),1) -> minus(x)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_+(x,minus(y)) , Marked_minus(+(minus(x),y))>
<Marked_+(x,minus(y)) , Marked_+(minus(x),y)>
<Marked_+(x,minus(y)) , Marked_minus(x)>
<Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
<Marked_+(x,+(y,z)) , Marked_+(x,y)>
<Marked_+(minus(+(x,1)),1) , Marked_minus(x)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_+(x,minus(y)) , Marked_+(minus(x),y)>
<Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
<Marked_+(x,+(y,z)) , Marked_+(x,y)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.006058 seconds (real time)
Cime Exit Status: 0