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

TRS termination of:
[1] +(x,+(y,z)) -> +(+(x,y),z)
[2] +( *(x,y),+(x,z)) ->  *(x,+(y,z))
[3] +( *(x,y),+( *(x,z),u)) -> +( *(x,+(y,z)),u)


Sub problem: 
guided: 

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

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

ST: Marked_+ -> 2

APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] +(x,+(y,z)) -> +(+(x,y),z)
[2] +( *(x,y),+(x,z)) ->  *(x,+(y,z))
[3] +( *(x,y),+( *(x,z),u)) -> +( *(x,+(y,z)),u)
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
<Marked_+(x,+(y,z)) , Marked_+(x,y)>
<Marked_+( *(x,y),+(x,z)) , Marked_+(y,z)>
<Marked_+( *(x,y),+( *(x,z),u)) , Marked_+( *(x,+(y,z)),u)>
<Marked_+( *(x,y),+( *(x,z),u)) , Marked_+(y,z)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_+(x,+(y,z)) , Marked_+(+(x,y),z)>
<Marked_+(x,+(y,z)) , Marked_+(x,y)>
<Marked_+( *(x,y),+(x,z)) , Marked_+(y,z)>
<Marked_+( *(x,y),+( *(x,z),u)) , Marked_+( *(x,+(y,z)),u)>
<Marked_+( *(x,y),+( *(x,z),u)) , Marked_+(y,z)>
 ,
 CRITERION: ST
 [ {
      
     DP termination of:
      ,
      CRITERION: SG
      [  ]} 
      ]} 
 ]} 
 ]} 

Cime worked for 0.008254 seconds (real time)
Cime Exit Status: 0