/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:
 f(g(x,y),f(y,y)) -> f(g(y,x),y)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [f](x0, x1) = 4x0 + x1 + 6,
   
   [g](x0, x1) = 4x0 + 3x1
  orientation:
   f(g(x,y),f(y,y)) = 16x + 17y + 12 >= 12x + 17y + 6 = f(g(y,x),y)
  problem:
   
  Qed