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

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


Sub problem: 
guided: 

DP termination of:
<Marked_minus(+(x,y)) , Marked_+(minus(y),minus(x))>
<Marked_minus(+(x,y)) , Marked_minus(y)>
<Marked_minus(+(x,y)) , Marked_minus(x)>
<Marked_*(x,+(y,z)) , Marked_+( *(x,y), *(x,z))>
<Marked_*(x,+(y,z)) , Marked_*(x,y)>
<Marked_*(x,+(y,z)) , Marked_*(x,z)>
<Marked_*(x,minus(y)) , Marked_minus( *(x,y))>
<Marked_*(x,minus(y)) , Marked_*(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 2 components:

{  <Marked_*(x,minus(y)) , Marked_*(x,y)> 
      --> <Marked_*(x,minus(y)) , Marked_*(x,y)>
  <Marked_*(x,minus(y)) , Marked_*(x,y)> 
     --> <Marked_*(x,+(y,z)) , Marked_*(x,z)>
  <Marked_*(x,minus(y)) , Marked_*(x,y)> 
     --> <Marked_*(x,+(y,z)) , Marked_*(x,y)>
  <Marked_*(x,+(y,z)) , Marked_*(x,z)> 
     --> <Marked_*(x,minus(y)) , Marked_*(x,y)>
  <Marked_*(x,+(y,z)) , Marked_*(x,z)> --> <Marked_*(x,+(y,z)) , Marked_*(x,z)>
  <Marked_*(x,+(y,z)) , Marked_*(x,z)> --> <Marked_*(x,+(y,z)) , Marked_*(x,y)>
  <Marked_*(x,+(y,z)) , Marked_*(x,y)> 
     --> <Marked_*(x,minus(y)) , Marked_*(x,y)>
  <Marked_*(x,+(y,z)) , Marked_*(x,y)> --> <Marked_*(x,+(y,z)) , Marked_*(x,z)>
  <Marked_*(x,+(y,z)) , Marked_*(x,y)> --> <Marked_*(x,+(y,z)) , Marked_*(x,y)>
}

{  <Marked_minus(+(x,y)) , Marked_minus(x)> 
      --> <Marked_minus(+(x,y)) , Marked_minus(x)>
  <Marked_minus(+(x,y)) , Marked_minus(x)> 
     --> <Marked_minus(+(x,y)) , Marked_minus(y)>
  <Marked_minus(+(x,y)) , Marked_minus(y)> 
     --> <Marked_minus(+(x,y)) , Marked_minus(x)>
  <Marked_minus(+(x,y)) , Marked_minus(y)> 
     --> <Marked_minus(+(x,y)) , Marked_minus(y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  +(minus(x),x) >= 0 ;
  +(x,0) >= x ;
  minus(+(x,y)) >= +(minus(y),minus(x)) ;
  minus(0) >= 0 ;
  minus(minus(x)) >= x ;
   *(x,+(y,z)) >= +( *(x,y), *(x,z)) ;
   *(x,0) >= 0 ;
   *(x,minus(y)) >= minus( *(x,y)) ;
   *(x,1) >= x ;
  Marked_*(x,+(y,z)) >= Marked_*(x,y) ;
  Marked_*(x,+(y,z)) >= Marked_*(x,z) ;
  Marked_*(x,minus(y)) >= Marked_*(x,y) ;
 }
 + Disjunctions:{ 
{
  Marked_*(x,+(y,z)) > Marked_*(x,y) ;
 }
{
  Marked_*(x,+(y,z)) > Marked_*(x,z) ;
 }
{
  Marked_*(x,minus(y)) > Marked_*(x,y) ;
 }
 } 
=== 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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== STOPING TIMER virtual ===
constraint: +(minus(x),x) >= 0
constraint: +(x,0) >= x
constraint: minus(+(x,y)) >= +(minus(y),minus(x))
constraint: minus(0) >= 0
constraint: minus(minus(x)) >= x
constraint:  *(x,+(y,z)) >= +( *(x,y), *(x,z))
constraint:  *(x,0) >= 0
constraint:  *(x,minus(y)) >= minus( *(x,y))
constraint:  *(x,1) >= x
constraint: Marked_*(x,+(y,z)) >= Marked_*(x,y)
constraint: Marked_*(x,+(y,z)) >= Marked_*(x,z)
constraint: Marked_*(x,minus(y)) >= Marked_*(x,y)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  +(minus(x),x) >= 0 ;
  +(x,0) >= x ;
  minus(+(x,y)) >= +(minus(y),minus(x)) ;
  minus(0) >= 0 ;
  minus(minus(x)) >= x ;
   *(x,+(y,z)) >= +( *(x,y), *(x,z)) ;
   *(x,0) >= 0 ;
   *(x,minus(y)) >= minus( *(x,y)) ;
   *(x,1) >= x ;
  Marked_minus(+(x,y)) >= Marked_minus(x) ;
  Marked_minus(+(x,y)) >= Marked_minus(y) ;
 }
 + Disjunctions:{ 
{
  Marked_minus(+(x,y)) > Marked_minus(x) ;
 }
{
  Marked_minus(+(x,y)) > Marked_minus(y) ;
 }
 } 
=== 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
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== STOPING TIMER virtual ===
constraint: +(minus(x),x) >= 0
constraint: +(x,0) >= x
constraint: minus(+(x,y)) >= +(minus(y),minus(x))
constraint: minus(0) >= 0
constraint: minus(minus(x)) >= x
constraint:  *(x,+(y,z)) >= +( *(x,y), *(x,z))
constraint:  *(x,0) >= 0
constraint:  *(x,minus(y)) >= minus( *(x,y))
constraint:  *(x,1) >= x
constraint: Marked_minus(+(x,y)) >= Marked_minus(x)
constraint: Marked_minus(+(x,y)) >= Marked_minus(y)
APPLY CRITERIA (Graph splitting)
Found 0 components:
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] +(x,0) -> x
[2] +(minus(x),x) -> 0
[3] minus(0) -> 0
[4] minus(minus(x)) -> x
[5] minus(+(x,y)) -> +(minus(y),minus(x))
[6]  *(x,1) -> x
[7]  *(x,0) -> 0
[8]  *(x,+(y,z)) -> +( *(x,y), *(x,z))
[9]  *(x,minus(y)) -> minus( *(x,y))
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_minus(+(x,y)) , Marked_+(minus(y),minus(x))>
<Marked_minus(+(x,y)) , Marked_minus(y)>
<Marked_minus(+(x,y)) , Marked_minus(x)>
<Marked_*(x,+(y,z)) , Marked_+( *(x,y), *(x,z))>
<Marked_*(x,+(y,z)) , Marked_*(x,y)>
<Marked_*(x,+(y,z)) , Marked_*(x,z)>
<Marked_*(x,minus(y)) , Marked_minus( *(x,y))>
<Marked_*(x,minus(y)) , Marked_*(x,y)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_*(x,+(y,z)) , Marked_*(x,y)>
<Marked_*(x,+(y,z)) , Marked_*(x,z)>
<Marked_*(x,minus(y)) , Marked_*(x,y)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     RPO with AFS = AFS: 
     and precedence:
     prec (All symbols are Lex.): { +  >  0 ; +  <  minus ; +  <   * ;
                                   0  <  + ; 0  <  minus ; 0  <   * ;
                                   minus  >  + ; minus  >  0 ; minus  <   * ;
                                    *  >  + ;  *  >  0 ;  *  >  minus ; }

 ]} 
{
 
DP termination of:
<Marked_minus(+(x,y)) , Marked_minus(y)>
<Marked_minus(+(x,y)) , Marked_minus(x)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     RPO with AFS = AFS: 
     and precedence:
     prec (All symbols are Lex.): { +  >  0 ; +  <  minus ; +  <   * ;
                                   0  <  + ; 0  <  minus ; 0  <   * ;
                                   minus  >  + ; minus  >  0 ; minus  <   * ;
                                    *  >  + ;  *  >  0 ;  *  >  minus ; }

 ]} 
 ]} 
 ]} 

Cime worked for 0.050841 seconds (real time)
Cime Exit Status: 0