/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:
 f(s(x1),x2,x3,x4,x5) -> f(x1,x2,x3,x4,x5)
 f(0(),s(x2),x3,x4,x5) -> f(x2,x2,x3,x4,x5)
 f(0(),0(),s(x3),x4,x5) -> f(x3,x3,x3,x4,x5)
 f(0(),0(),0(),s(x4),x5) -> f(x4,x4,x4,x4,x5)
 f(0(),0(),0(),0(),s(x5)) -> f(x5,x5,x5,x5,x5)
 f(0(),0(),0(),0(),0()) -> 0()

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [f](x0, x1, x2, x3, x4) = x0 + x1 + 5x2 + 7x3 + 6x4 + 6,
   
   [s](x0) = 4x0,
   
   [0] = 1
  orientation:
   f(s(x1),x2,x3,x4,x5) = 4x1 + x2 + 5x3 + 7x4 + 6x5 + 6 >= x1 + x2 + 5x3 + 7x4 + 6x5 + 6 = f(x1,x2,x3,x4,x5)
   
   f(0(),s(x2),x3,x4,x5) = 4x2 + 5x3 + 7x4 + 6x5 + 7 >= 2x2 + 5x3 + 7x4 + 6x5 + 6 = f(x2,x2,x3,x4,x5)
   
   f(0(),0(),s(x3),x4,x5) = 20x3 + 7x4 + 6x5 + 8 >= 7x3 + 7x4 + 6x5 + 6 = f(x3,x3,x3,x4,x5)
   
   f(0(),0(),0(),s(x4),x5) = 28x4 + 6x5 + 13 >= 14x4 + 6x5 + 6 = f(x4,x4,x4,x4,x5)
   
   f(0(),0(),0(),0(),s(x5)) = 24x5 + 20 >= 20x5 + 6 = f(x5,x5,x5,x5,x5)
   
   f(0(),0(),0(),0(),0()) = 26 >= 1 = 0()
  problem:
   f(s(x1),x2,x3,x4,x5) -> f(x1,x2,x3,x4,x5)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                              [1 0 1]     [1 0 0]     [1 0 0]     [1 0 0]     [1 0 0]  
    [f](x0, x1, x2, x3, x4) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0 0 0]x3 + [0 0 0]x4
                              [0 0 0]     [0 0 0]     [0 0 0]     [0 0 0]     [0 0 0]  ,
    
              [1 0 1]     [0]
    [s](x0) = [0 0 0]x0 + [0]
              [0 0 0]     [1]
   orientation:
                           [1 0 1]     [1 0 0]     [1 0 0]     [1 0 0]     [1 0 0]     [1]    [1 0 1]     [1 0 0]     [1 0 0]     [1 0 0]     [1 0 0]                      
    f(s(x1),x2,x3,x4,x5) = [0 0 0]x1 + [0 0 0]x2 + [0 0 0]x3 + [0 0 0]x4 + [0 0 0]x5 + [0] >= [0 0 0]x1 + [0 0 0]x2 + [0 0 0]x3 + [0 0 0]x4 + [0 0 0]x5 = f(x1,x2,x3,x4,x5)
                           [0 0 0]     [0 0 0]     [0 0 0]     [0 0 0]     [0 0 0]     [0]    [0 0 0]     [0 0 0]     [0 0 0]     [0 0 0]     [0 0 0]                      
   problem:
    
   Qed