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


--------------------------------------------------------------------------------


YES

Problem:
 g(x,y) -> x
 g(x,y) -> y
 f(s(x),y,y) -> f(y,x,s(x))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [s](x0) = 4x0,
   
   [g](x0, x1) = 4x0 + 4x1 + 1,
   
   [f](x0, x1, x2) = 3x0 + 4x1 + 2x2
  orientation:
   g(x,y) = 4x + 4y + 1 >= x = x
   
   g(x,y) = 4x + 4y + 1 >= y = y
   
   f(s(x),y,y) = 12x + 6y >= 12x + 3y = f(y,x,s(x))
  problem:
   f(s(x),y,y) -> f(y,x,s(x))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [s](x0) = 2x0 + 1,
    
    [f](x0, x1, x2) = 7x0 + x1 + 6x2
   orientation:
    f(s(x),y,y) = 14x + 7y + 7 >= 13x + 7y + 6 = f(y,x,s(x))
   problem:
    
   Qed