/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:
 +(*(x,y),*(a(),y)) -> *(+(x,a()),y)
 *(*(x,y),z) -> *(x,*(y,z))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [a] = 0,
   
   [*](x0, x1) = x0 + x1 + 4,
   
   [+](x0, x1) = x0 + 4x1 + 4
  orientation:
   +(*(x,y),*(a(),y)) = x + 5y + 24 >= x + y + 8 = *(+(x,a()),y)
   
   *(*(x,y),z) = x + y + z + 8 >= x + y + z + 8 = *(x,*(y,z))
  problem:
   *(*(x,y),z) -> *(x,*(y,z))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [*](x0, x1) = 2x0 + x1 + 2
   orientation:
    *(*(x,y),z) = 4x + 2y + z + 6 >= 2x + 2y + z + 4 = *(x,*(y,z))
   problem:
    
   Qed