/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
 active(__(X,nil())) -> mark(X)
 active(__(nil(),X)) -> mark(X)
 active(U11(tt())) -> mark(U12(tt()))
 active(U12(tt())) -> mark(tt())
 active(isNePal(__(I,__(P,I)))) -> mark(U11(tt()))
 active(__(X1,X2)) -> __(active(X1),X2)
 active(__(X1,X2)) -> __(X1,active(X2))
 active(U11(X)) -> U11(active(X))
 active(U12(X)) -> U12(active(X))
 active(isNePal(X)) -> isNePal(active(X))
 __(mark(X1),X2) -> mark(__(X1,X2))
 __(X1,mark(X2)) -> mark(__(X1,X2))
 U11(mark(X)) -> mark(U11(X))
 U12(mark(X)) -> mark(U12(X))
 isNePal(mark(X)) -> mark(isNePal(X))
 proper(__(X1,X2)) -> __(proper(X1),proper(X2))
 proper(nil()) -> ok(nil())
 proper(U11(X)) -> U11(proper(X))
 proper(tt()) -> ok(tt())
 proper(U12(X)) -> U12(proper(X))
 proper(isNePal(X)) -> isNePal(proper(X))
 __(ok(X1),ok(X2)) -> ok(__(X1,X2))
 U11(ok(X)) -> ok(U11(X))
 U12(ok(X)) -> ok(U12(X))
 isNePal(ok(X)) -> ok(isNePal(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [tt] = 0,
   
   [proper](x0) = x0,
   
   [active](x0) = x0,
   
   [nil] = 5,
   
   [U11](x0) = 4x0 + 7,
   
   [top](x0) = 2x0,
   
   [__](x0, x1) = 3x0 + x1 + 1,
   
   [isNePal](x0) = 5x0,
   
   [ok](x0) = x0,
   
   [U12](x0) = 4x0 + 5,
   
   [mark](x0) = x0 + 2
  orientation:
   active(__(__(X,Y),Z)) = 9X + 3Y + Z + 4 >= 3X + 3Y + Z + 4 = mark(__(X,__(Y,Z)))
   
   active(__(X,nil())) = 3X + 6 >= X + 2 = mark(X)
   
   active(__(nil(),X)) = X + 16 >= X + 2 = mark(X)
   
   active(U11(tt())) = 7 >= 7 = mark(U12(tt()))
   
   active(U12(tt())) = 5 >= 2 = mark(tt())
   
   active(isNePal(__(I,__(P,I)))) = 20I + 15P + 10 >= 9 = mark(U11(tt()))
   
   active(__(X1,X2)) = 3X1 + X2 + 1 >= 3X1 + X2 + 1 = __(active(X1),X2)
   
   active(__(X1,X2)) = 3X1 + X2 + 1 >= 3X1 + X2 + 1 = __(X1,active(X2))
   
   active(U11(X)) = 4X + 7 >= 4X + 7 = U11(active(X))
   
   active(U12(X)) = 4X + 5 >= 4X + 5 = U12(active(X))
   
   active(isNePal(X)) = 5X >= 5X = isNePal(active(X))
   
   __(mark(X1),X2) = 3X1 + X2 + 7 >= 3X1 + X2 + 3 = mark(__(X1,X2))
   
   __(X1,mark(X2)) = 3X1 + X2 + 3 >= 3X1 + X2 + 3 = mark(__(X1,X2))
   
   U11(mark(X)) = 4X + 15 >= 4X + 9 = mark(U11(X))
   
   U12(mark(X)) = 4X + 13 >= 4X + 7 = mark(U12(X))
   
   isNePal(mark(X)) = 5X + 10 >= 5X + 2 = mark(isNePal(X))
   
   proper(__(X1,X2)) = 3X1 + X2 + 1 >= 3X1 + X2 + 1 = __(proper(X1),proper(X2))
   
   proper(nil()) = 5 >= 5 = ok(nil())
   
   proper(U11(X)) = 4X + 7 >= 4X + 7 = U11(proper(X))
   
   proper(tt()) = 0 >= 0 = ok(tt())
   
   proper(U12(X)) = 4X + 5 >= 4X + 5 = U12(proper(X))
   
   proper(isNePal(X)) = 5X >= 5X = isNePal(proper(X))
   
   __(ok(X1),ok(X2)) = 3X1 + X2 + 1 >= 3X1 + X2 + 1 = ok(__(X1,X2))
   
   U11(ok(X)) = 4X + 7 >= 4X + 7 = ok(U11(X))
   
   U12(ok(X)) = 4X + 5 >= 4X + 5 = ok(U12(X))
   
   isNePal(ok(X)) = 5X >= 5X = ok(isNePal(X))
   
   top(mark(X)) = 2X + 4 >= 2X = top(proper(X))
   
   top(ok(X)) = 2X >= 2X = top(active(X))
  problem:
   active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
   active(U11(tt())) -> mark(U12(tt()))
   active(__(X1,X2)) -> __(active(X1),X2)
   active(__(X1,X2)) -> __(X1,active(X2))
   active(U11(X)) -> U11(active(X))
   active(U12(X)) -> U12(active(X))
   active(isNePal(X)) -> isNePal(active(X))
   __(X1,mark(X2)) -> mark(__(X1,X2))
   proper(__(X1,X2)) -> __(proper(X1),proper(X2))
   proper(nil()) -> ok(nil())
   proper(U11(X)) -> U11(proper(X))
   proper(tt()) -> ok(tt())
   proper(U12(X)) -> U12(proper(X))
   proper(isNePal(X)) -> isNePal(proper(X))
   __(ok(X1),ok(X2)) -> ok(__(X1,X2))
   U11(ok(X)) -> ok(U11(X))
   U12(ok(X)) -> ok(U12(X))
   isNePal(ok(X)) -> ok(isNePal(X))
   top(ok(X)) -> top(active(X))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [tt] = 2,
    
    [proper](x0) = 6x0,
    
    [active](x0) = 4x0,
    
    [nil] = 0,
    
    [U11](x0) = 2x0,
    
    [top](x0) = x0 + 2,
    
    [__](x0, x1) = x0 + 2x1,
    
    [isNePal](x0) = x0,
    
    [ok](x0) = 4x0,
    
    [U12](x0) = x0,
    
    [mark](x0) = x0
   orientation:
    active(__(__(X,Y),Z)) = 4X + 8Y + 8Z >= X + 2Y + 4Z = mark(__(X,__(Y,Z)))
    
    active(U11(tt())) = 16 >= 2 = mark(U12(tt()))
    
    active(__(X1,X2)) = 4X1 + 8X2 >= 4X1 + 2X2 = __(active(X1),X2)
    
    active(__(X1,X2)) = 4X1 + 8X2 >= X1 + 8X2 = __(X1,active(X2))
    
    active(U11(X)) = 8X >= 8X = U11(active(X))
    
    active(U12(X)) = 4X >= 4X = U12(active(X))
    
    active(isNePal(X)) = 4X >= 4X = isNePal(active(X))
    
    __(X1,mark(X2)) = X1 + 2X2 >= X1 + 2X2 = mark(__(X1,X2))
    
    proper(__(X1,X2)) = 6X1 + 12X2 >= 6X1 + 12X2 = __(proper(X1),proper(X2))
    
    proper(nil()) = 0 >= 0 = ok(nil())
    
    proper(U11(X)) = 12X >= 12X = U11(proper(X))
    
    proper(tt()) = 12 >= 8 = ok(tt())
    
    proper(U12(X)) = 6X >= 6X = U12(proper(X))
    
    proper(isNePal(X)) = 6X >= 6X = isNePal(proper(X))
    
    __(ok(X1),ok(X2)) = 4X1 + 8X2 >= 4X1 + 8X2 = ok(__(X1,X2))
    
    U11(ok(X)) = 8X >= 8X = ok(U11(X))
    
    U12(ok(X)) = 4X >= 4X = ok(U12(X))
    
    isNePal(ok(X)) = 4X >= 4X = ok(isNePal(X))
    
    top(ok(X)) = 4X + 2 >= 4X + 2 = top(active(X))
   problem:
    active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
    active(__(X1,X2)) -> __(active(X1),X2)
    active(__(X1,X2)) -> __(X1,active(X2))
    active(U11(X)) -> U11(active(X))
    active(U12(X)) -> U12(active(X))
    active(isNePal(X)) -> isNePal(active(X))
    __(X1,mark(X2)) -> mark(__(X1,X2))
    proper(__(X1,X2)) -> __(proper(X1),proper(X2))
    proper(nil()) -> ok(nil())
    proper(U11(X)) -> U11(proper(X))
    proper(U12(X)) -> U12(proper(X))
    proper(isNePal(X)) -> isNePal(proper(X))
    __(ok(X1),ok(X2)) -> ok(__(X1,X2))
    U11(ok(X)) -> ok(U11(X))
    U12(ok(X)) -> ok(U12(X))
    isNePal(ok(X)) -> ok(isNePal(X))
    top(ok(X)) -> top(active(X))
   Matrix Interpretation Processor: dim=3
    
    interpretation:
                    [1 0 0]     [0]
     [proper](x0) = [0 0 0]x0 + [1]
                    [0 1 1]     [0],
     
                         [1]
     [active](x0) = x0 + [0]
                         [0],
     
             [1]
     [nil] = [0]
             [0],
     
                 [1 0 0]     [0]
     [U11](x0) = [0 0 0]x0 + [1]
                 [0 1 1]     [0],
     
                 [1 1 1]  
     [top](x0) = [0 0 0]x0
                 [0 0 0]  ,
     
                         [1 0 0]  
     [__](x0, x1) = x0 + [0 0 0]x1
                         [0 0 0]  ,
     
                       
     [isNePal](x0) = x0
                       ,
     
                [1 0 0]     [0]
     [ok](x0) = [0 0 0]x0 + [1]
                [0 1 1]     [0],
     
                 [1 0 0]     [0]
     [U12](x0) = [0 0 0]x0 + [1]
                 [0 1 1]     [0],
     
                  [1 0 0]  
     [mark](x0) = [0 1 0]x0
                  [0 0 0]  
    orientation:
                                 [1 0 0]    [1 0 0]    [1]    [1 0 0]    [1 0 0]    [1 0 0]                       
     active(__(__(X,Y),Z)) = X + [0 0 0]Y + [0 0 0]Z + [0] >= [0 1 0]X + [0 0 0]Y + [0 0 0]Z = mark(__(X,__(Y,Z)))
                                 [0 0 0]    [0 0 0]    [0]    [0 0 0]    [0 0 0]    [0 0 0]                       
     
                              [1 0 0]     [1]         [1 0 0]     [1]                    
     active(__(X1,X2)) = X1 + [0 0 0]X2 + [0] >= X1 + [0 0 0]X2 + [0] = __(active(X1),X2)
                              [0 0 0]     [0]         [0 0 0]     [0]                    
     
                              [1 0 0]     [1]         [1 0 0]     [1]                    
     active(__(X1,X2)) = X1 + [0 0 0]X2 + [0] >= X1 + [0 0 0]X2 + [0] = __(X1,active(X2))
                              [0 0 0]     [0]         [0 0 0]     [0]                    
     
                      [1 0 0]    [1]    [1 0 0]    [1]                 
     active(U11(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = U11(active(X))
                      [0 1 1]    [0]    [0 1 1]    [0]                 
     
                      [1 0 0]    [1]    [1 0 0]    [1]                 
     active(U12(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = U12(active(X))
                      [0 1 1]    [0]    [0 1 1]    [0]                 
     
                              [1]        [1]                     
     active(isNePal(X)) = X + [0] >= X + [0] = isNePal(active(X))
                              [0]        [0]                     
     
                            [1 0 0]      [1 0 0]     [1 0 0]                    
     __(X1,mark(X2)) = X1 + [0 0 0]X2 >= [0 1 0]X1 + [0 0 0]X2 = mark(__(X1,X2))
                            [0 0 0]      [0 0 0]     [0 0 0]                    
     
                         [1 0 0]     [1 0 0]     [0]    [1 0 0]     [1 0 0]     [0]                            
     proper(__(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 + [1] >= [0 0 0]X1 + [0 0 0]X2 + [1] = __(proper(X1),proper(X2))
                         [0 1 1]     [0 0 0]     [0]    [0 1 1]     [0 0 0]     [0]                            
     
                     [1]    [1]            
     proper(nil()) = [1] >= [1] = ok(nil())
                     [0]    [0]            
     
                      [1 0 0]    [0]    [1 0 0]    [0]                 
     proper(U11(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = U11(proper(X))
                      [0 1 1]    [1]    [0 1 1]    [1]                 
     
                      [1 0 0]    [0]    [1 0 0]    [0]                 
     proper(U12(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = U12(proper(X))
                      [0 1 1]    [1]    [0 1 1]    [1]                 
     
                          [1 0 0]    [0]    [1 0 0]    [0]                     
     proper(isNePal(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = isNePal(proper(X))
                          [0 1 1]    [0]    [0 1 1]    [0]                     
     
                         [1 0 0]     [1 0 0]     [0]    [1 0 0]     [1 0 0]     [0]                
     __(ok(X1),ok(X2)) = [0 0 0]X1 + [0 0 0]X2 + [1] >= [0 0 0]X1 + [0 0 0]X2 + [1] = ok(__(X1,X2))
                         [0 1 1]     [0 0 0]     [0]    [0 1 1]     [0 0 0]     [0]                
     
                  [1 0 0]    [0]    [1 0 0]    [0]             
     U11(ok(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = ok(U11(X))
                  [0 1 1]    [1]    [0 1 1]    [1]             
     
                  [1 0 0]    [0]    [1 0 0]    [0]             
     U12(ok(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = ok(U12(X))
                  [0 1 1]    [1]    [0 1 1]    [1]             
     
                      [1 0 0]    [0]    [1 0 0]    [0]                 
     isNePal(ok(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = ok(isNePal(X))
                      [0 1 1]    [0]    [0 1 1]    [0]                 
     
                  [1 1 1]    [1]    [1 1 1]    [1]                 
     top(ok(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = top(active(X))
                  [0 0 0]    [0]    [0 0 0]    [0]                 
    problem:
     active(__(X1,X2)) -> __(active(X1),X2)
     active(__(X1,X2)) -> __(X1,active(X2))
     active(U11(X)) -> U11(active(X))
     active(U12(X)) -> U12(active(X))
     active(isNePal(X)) -> isNePal(active(X))
     __(X1,mark(X2)) -> mark(__(X1,X2))
     proper(__(X1,X2)) -> __(proper(X1),proper(X2))
     proper(nil()) -> ok(nil())
     proper(U11(X)) -> U11(proper(X))
     proper(U12(X)) -> U12(proper(X))
     proper(isNePal(X)) -> isNePal(proper(X))
     __(ok(X1),ok(X2)) -> ok(__(X1,X2))
     U11(ok(X)) -> ok(U11(X))
     U12(ok(X)) -> ok(U12(X))
     isNePal(ok(X)) -> ok(isNePal(X))
     top(ok(X)) -> top(active(X))
    Matrix Interpretation Processor: dim=1
     
     interpretation:
      [proper](x0) = 2x0,
      
      [active](x0) = x0,
      
      [nil] = 5,
      
      [U11](x0) = 4x0,
      
      [top](x0) = 2x0 + 2,
      
      [__](x0, x1) = x0 + 4x1,
      
      [isNePal](x0) = 2x0,
      
      [ok](x0) = x0,
      
      [U12](x0) = 2x0,
      
      [mark](x0) = x0 + 1
     orientation:
      active(__(X1,X2)) = X1 + 4X2 >= X1 + 4X2 = __(active(X1),X2)
      
      active(__(X1,X2)) = X1 + 4X2 >= X1 + 4X2 = __(X1,active(X2))
      
      active(U11(X)) = 4X >= 4X = U11(active(X))
      
      active(U12(X)) = 2X >= 2X = U12(active(X))
      
      active(isNePal(X)) = 2X >= 2X = isNePal(active(X))
      
      __(X1,mark(X2)) = X1 + 4X2 + 4 >= X1 + 4X2 + 1 = mark(__(X1,X2))
      
      proper(__(X1,X2)) = 2X1 + 8X2 >= 2X1 + 8X2 = __(proper(X1),proper(X2))
      
      proper(nil()) = 10 >= 5 = ok(nil())
      
      proper(U11(X)) = 8X >= 8X = U11(proper(X))
      
      proper(U12(X)) = 4X >= 4X = U12(proper(X))
      
      proper(isNePal(X)) = 4X >= 4X = isNePal(proper(X))
      
      __(ok(X1),ok(X2)) = X1 + 4X2 >= X1 + 4X2 = ok(__(X1,X2))
      
      U11(ok(X)) = 4X >= 4X = ok(U11(X))
      
      U12(ok(X)) = 2X >= 2X = ok(U12(X))
      
      isNePal(ok(X)) = 2X >= 2X = ok(isNePal(X))
      
      top(ok(X)) = 2X + 2 >= 2X + 2 = top(active(X))
     problem:
      active(__(X1,X2)) -> __(active(X1),X2)
      active(__(X1,X2)) -> __(X1,active(X2))
      active(U11(X)) -> U11(active(X))
      active(U12(X)) -> U12(active(X))
      active(isNePal(X)) -> isNePal(active(X))
      proper(__(X1,X2)) -> __(proper(X1),proper(X2))
      proper(U11(X)) -> U11(proper(X))
      proper(U12(X)) -> U12(proper(X))
      proper(isNePal(X)) -> isNePal(proper(X))
      __(ok(X1),ok(X2)) -> ok(__(X1,X2))
      U11(ok(X)) -> ok(U11(X))
      U12(ok(X)) -> ok(U12(X))
      isNePal(ok(X)) -> ok(isNePal(X))
      top(ok(X)) -> top(active(X))
     Matrix Interpretation Processor: dim=1
      
      interpretation:
       [proper](x0) = x0,
       
       [active](x0) = x0,
       
       [U11](x0) = x0,
       
       [top](x0) = 5x0,
       
       [__](x0, x1) = 2x0 + 6x1 + 7,
       
       [isNePal](x0) = 4x0 + 3,
       
       [ok](x0) = 2x0 + 1,
       
       [U12](x0) = 4x0 + 3
      orientation:
       active(__(X1,X2)) = 2X1 + 6X2 + 7 >= 2X1 + 6X2 + 7 = __(active(X1),X2)
       
       active(__(X1,X2)) = 2X1 + 6X2 + 7 >= 2X1 + 6X2 + 7 = __(X1,active(X2))
       
       active(U11(X)) = X >= X = U11(active(X))
       
       active(U12(X)) = 4X + 3 >= 4X + 3 = U12(active(X))
       
       active(isNePal(X)) = 4X + 3 >= 4X + 3 = isNePal(active(X))
       
       proper(__(X1,X2)) = 2X1 + 6X2 + 7 >= 2X1 + 6X2 + 7 = __(proper(X1),proper(X2))
       
       proper(U11(X)) = X >= X = U11(proper(X))
       
       proper(U12(X)) = 4X + 3 >= 4X + 3 = U12(proper(X))
       
       proper(isNePal(X)) = 4X + 3 >= 4X + 3 = isNePal(proper(X))
       
       __(ok(X1),ok(X2)) = 4X1 + 12X2 + 15 >= 4X1 + 12X2 + 15 = ok(__(X1,X2))
       
       U11(ok(X)) = 2X + 1 >= 2X + 1 = ok(U11(X))
       
       U12(ok(X)) = 8X + 7 >= 8X + 7 = ok(U12(X))
       
       isNePal(ok(X)) = 8X + 7 >= 8X + 7 = ok(isNePal(X))
       
       top(ok(X)) = 10X + 5 >= 5X = top(active(X))
      problem:
       active(__(X1,X2)) -> __(active(X1),X2)
       active(__(X1,X2)) -> __(X1,active(X2))
       active(U11(X)) -> U11(active(X))
       active(U12(X)) -> U12(active(X))
       active(isNePal(X)) -> isNePal(active(X))
       proper(__(X1,X2)) -> __(proper(X1),proper(X2))
       proper(U11(X)) -> U11(proper(X))
       proper(U12(X)) -> U12(proper(X))
       proper(isNePal(X)) -> isNePal(proper(X))
       __(ok(X1),ok(X2)) -> ok(__(X1,X2))
       U11(ok(X)) -> ok(U11(X))
       U12(ok(X)) -> ok(U12(X))
       isNePal(ok(X)) -> ok(isNePal(X))
      Matrix Interpretation Processor: dim=1
       
       interpretation:
        [proper](x0) = 4x0 + 1,
        
        [active](x0) = x0,
        
        [U11](x0) = 4x0 + 2,
        
        [__](x0, x1) = 2x0 + x1 + 1,
        
        [isNePal](x0) = 6x0 + 2,
        
        [ok](x0) = 4x0 + 2,
        
        [U12](x0) = x0
       orientation:
        active(__(X1,X2)) = 2X1 + X2 + 1 >= 2X1 + X2 + 1 = __(active(X1),X2)
        
        active(__(X1,X2)) = 2X1 + X2 + 1 >= 2X1 + X2 + 1 = __(X1,active(X2))
        
        active(U11(X)) = 4X + 2 >= 4X + 2 = U11(active(X))
        
        active(U12(X)) = X >= X = U12(active(X))
        
        active(isNePal(X)) = 6X + 2 >= 6X + 2 = isNePal(active(X))
        
        proper(__(X1,X2)) = 8X1 + 4X2 + 5 >= 8X1 + 4X2 + 4 = __(proper(X1),proper(X2))
        
        proper(U11(X)) = 16X + 9 >= 16X + 6 = U11(proper(X))
        
        proper(U12(X)) = 4X + 1 >= 4X + 1 = U12(proper(X))
        
        proper(isNePal(X)) = 24X + 9 >= 24X + 8 = isNePal(proper(X))
        
        __(ok(X1),ok(X2)) = 8X1 + 4X2 + 7 >= 8X1 + 4X2 + 6 = ok(__(X1,X2))
        
        U11(ok(X)) = 16X + 10 >= 16X + 10 = ok(U11(X))
        
        U12(ok(X)) = 4X + 2 >= 4X + 2 = ok(U12(X))
        
        isNePal(ok(X)) = 24X + 14 >= 24X + 10 = ok(isNePal(X))
       problem:
        active(__(X1,X2)) -> __(active(X1),X2)
        active(__(X1,X2)) -> __(X1,active(X2))
        active(U11(X)) -> U11(active(X))
        active(U12(X)) -> U12(active(X))
        active(isNePal(X)) -> isNePal(active(X))
        proper(U12(X)) -> U12(proper(X))
        U11(ok(X)) -> ok(U11(X))
        U12(ok(X)) -> ok(U12(X))
       Matrix Interpretation Processor: dim=1
        
        interpretation:
         [proper](x0) = x0,
         
         [active](x0) = x0,
         
         [U11](x0) = x0,
         
         [__](x0, x1) = x0 + x1 + 2,
         
         [isNePal](x0) = 4x0 + 4,
         
         [ok](x0) = 2x0 + 2,
         
         [U12](x0) = 4x0 + 5
        orientation:
         active(__(X1,X2)) = X1 + X2 + 2 >= X1 + X2 + 2 = __(active(X1),X2)
         
         active(__(X1,X2)) = X1 + X2 + 2 >= X1 + X2 + 2 = __(X1,active(X2))
         
         active(U11(X)) = X >= X = U11(active(X))
         
         active(U12(X)) = 4X + 5 >= 4X + 5 = U12(active(X))
         
         active(isNePal(X)) = 4X + 4 >= 4X + 4 = isNePal(active(X))
         
         proper(U12(X)) = 4X + 5 >= 4X + 5 = U12(proper(X))
         
         U11(ok(X)) = 2X + 2 >= 2X + 2 = ok(U11(X))
         
         U12(ok(X)) = 8X + 13 >= 8X + 12 = ok(U12(X))
        problem:
         active(__(X1,X2)) -> __(active(X1),X2)
         active(__(X1,X2)) -> __(X1,active(X2))
         active(U11(X)) -> U11(active(X))
         active(U12(X)) -> U12(active(X))
         active(isNePal(X)) -> isNePal(active(X))
         proper(U12(X)) -> U12(proper(X))
         U11(ok(X)) -> ok(U11(X))
        Matrix Interpretation Processor: dim=1
         
         interpretation:
          [proper](x0) = 2x0,
          
          [active](x0) = 3x0 + 3,
          
          [U11](x0) = x0,
          
          [__](x0, x1) = 4x0 + 4x1 + 7,
          
          [isNePal](x0) = 2x0 + 7,
          
          [ok](x0) = x0 + 7,
          
          [U12](x0) = x0 + 4
         orientation:
          active(__(X1,X2)) = 12X1 + 12X2 + 24 >= 12X1 + 4X2 + 19 = __(active(X1),X2)
          
          active(__(X1,X2)) = 12X1 + 12X2 + 24 >= 4X1 + 12X2 + 19 = __(X1,active(X2))
          
          active(U11(X)) = 3X + 3 >= 3X + 3 = U11(active(X))
          
          active(U12(X)) = 3X + 15 >= 3X + 7 = U12(active(X))
          
          active(isNePal(X)) = 6X + 24 >= 6X + 13 = isNePal(active(X))
          
          proper(U12(X)) = 2X + 8 >= 2X + 4 = U12(proper(X))
          
          U11(ok(X)) = X + 7 >= X + 7 = ok(U11(X))
         problem:
          active(U11(X)) -> U11(active(X))
          U11(ok(X)) -> ok(U11(X))
         Matrix Interpretation Processor: dim=3
          
          interpretation:
                          [1 1 1]  
           [active](x0) = [0 1 0]x0
                          [0 0 1]  ,
           
                       [1 0 0]     [0]
           [U11](x0) = [0 0 1]x0 + [1]
                       [0 1 0]     [0],
           
                      [1 0 0]     [0]
           [ok](x0) = [0 0 1]x0 + [1]
                      [0 1 0]     [0]
          orientation:
                            [1 1 1]    [1]    [1 1 1]    [0]                 
           active(U11(X)) = [0 0 1]X + [1] >= [0 0 1]X + [1] = U11(active(X))
                            [0 1 0]    [0]    [0 1 0]    [0]                 
           
                            [0]        [0]             
           U11(ok(X)) = X + [1] >= X + [1] = ok(U11(X))
                            [1]        [1]             
          problem:
           U11(ok(X)) -> ok(U11(X))
          Matrix Interpretation Processor: dim=3
           
           interpretation:
                        [1 1 0]  
            [U11](x0) = [0 1 0]x0
                        [0 0 0]  ,
            
                       [1 0 0]     [0]
            [ok](x0) = [0 1 0]x0 + [1]
                       [0 0 0]     [0]
           orientation:
                         [1 1 0]    [1]    [1 1 0]    [0]             
            U11(ok(X)) = [0 1 0]X + [1] >= [0 1 0]X + [1] = ok(U11(X))
                         [0 0 0]    [0]    [0 0 0]    [0]             
           problem:
            
           Qed