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

TRS termination of:
[1] exp(x,0) -> s(0)
[2] exp(x,s(y)) ->  *(x,exp(x,y))
[3]  *(0,y) -> 0
[4]  *(s(x),y) -> +(y, *(x,y))
[5] -(0,y) -> 0
[6] -(x,0) -> x
[7] -(s(x),s(y)) -> -(x,y)


Sub problem: 
guided: 

DP termination of:
<Marked_exp(x,s(y)) , Marked_*(x,exp(x,y))>
<Marked_exp(x,s(y)) , Marked_exp(x,y)>
<Marked_*(s(x),y) , Marked_*(x,y)>
<Marked_-(s(x),s(y)) , Marked_-(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_exp(x,s(y)) , Marked_exp(x,y)> 
      --> <Marked_exp(x,s(y)) , Marked_exp(x,y)>
}

{  <Marked_*(s(x),y) , Marked_*(x,y)> --> <Marked_*(s(x),y) , Marked_*(x,y)>
}

{  <Marked_-(s(x),s(y)) , Marked_-(x,y)> 
      --> <Marked_-(s(x),s(y)) , Marked_-(x,y)>
}
APPLY CRITERIA (Subterm criterion)

ST: Marked_exp -> 2

APPLY CRITERIA (Subterm criterion)

ST: Marked_* -> 1

APPLY CRITERIA (Subterm criterion)

ST: Marked_- -> 1

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

Cime worked for 0.010485 seconds (real time)
Cime Exit Status: 0