/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
                     [1 1 1]     [1 0 1]     [1 1 0]  
   [f](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2
                     [1 0 1]     [0 0 0]     [1 0 1]  ,
   
             [1 0 1]     [1]
   [s](x0) = [1 0 0]x0 + [1]
             [1 0 1]     [1]
  orientation:
                 [3 0 2]    [2 1 1]    [3]    [3 0 2]    [1 1 1]    [2]              
   f(s(x),y,y) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0 0 0]y + [0] = f(y,x,s(x))
                 [2 0 2]    [1 0 1]    [2]    [2 0 2]    [1 0 1]    [2]              
  problem:
   
  Qed