/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:
 div(X,e()) -> i(X)
 i(div(X,Y)) -> div(Y,X)
 div(div(X,Y),Z) -> div(Y,div(i(X),Z))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [div](x0, x1) = 4x0 + x1 + 1,
   
   [e] = 2,
   
   [i](x0) = 4x0
  orientation:
   div(X,e()) = 4X + 3 >= 4X = i(X)
   
   i(div(X,Y)) = 16X + 4Y + 4 >= X + 4Y + 1 = div(Y,X)
   
   div(div(X,Y),Z) = 16X + 4Y + Z + 5 >= 16X + 4Y + Z + 2 = div(Y,div(i(X),Z))
  problem:
   
  Qed