/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem:
 __(__(X,Y),Z) -> __(X,__(Y,Z))
 __(X,nil()) -> X
 __(nil(),X) -> X
 U11(tt()) -> U12(tt())
 U12(tt()) -> tt()
 isNePal(__(I,__(P,I))) -> U11(tt())
 activate(X) -> X

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [activate](x0) = x0 + 1,
   
   [isNePal](x0) = x0,
   
   [U12](x0) = 4x0,
   
   [U11](x0) = 4x0,
   
   [tt] = 2,
   
   [nil] = 1,
   
   [__](x0, x1) = x0 + x1 + 4
  orientation:
   __(__(X,Y),Z) = X + Y + Z + 8 >= X + Y + Z + 8 = __(X,__(Y,Z))
   
   __(X,nil()) = X + 5 >= X = X
   
   __(nil(),X) = X + 5 >= X = X
   
   U11(tt()) = 8 >= 8 = U12(tt())
   
   U12(tt()) = 8 >= 2 = tt()
   
   isNePal(__(I,__(P,I))) = 2I + P + 8 >= 8 = U11(tt())
   
   activate(X) = X + 1 >= X = X
  problem:
   __(__(X,Y),Z) -> __(X,__(Y,Z))
   U11(tt()) -> U12(tt())
   isNePal(__(I,__(P,I))) -> U11(tt())
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [isNePal](x0) = x0 + 1,
    
    [U12](x0) = x0,
    
    [U11](x0) = x0 + 1,
    
    [tt] = 4,
    
    [__](x0, x1) = 2x0 + x1 + 2
   orientation:
    __(__(X,Y),Z) = 4X + 2Y + Z + 6 >= 2X + 2Y + Z + 4 = __(X,__(Y,Z))
    
    U11(tt()) = 5 >= 4 = U12(tt())
    
    isNePal(__(I,__(P,I))) = 3I + 2P + 5 >= 5 = U11(tt())
   problem:
    isNePal(__(I,__(P,I))) -> U11(tt())
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [isNePal](x0) = 4x0,
     
     [U11](x0) = 2x0,
     
     [tt] = 7,
     
     [__](x0, x1) = 3x0 + 2x1 + 2
    orientation:
     isNePal(__(I,__(P,I))) = 28I + 24P + 24 >= 14 = U11(tt())
    problem:
     
    Qed