/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:
 strict:
  T(I(x),y) -> T(x,y)
 weak:
  T(x,y) -> T(x,I(y))

Proof:
 Matrix Interpretation Processor: dim=5
  
  interpretation:
                 [1 1 0 0 1]     [1 0 0 1 0]     [0]
                 [0 1 1 0 0]     [0 0 0 0 1]     [1]
   [T](x0, x1) = [0 0 0 0 0]x0 + [0 0 1 1 0]x1 + [0]
                 [0 1 0 0 0]     [0 0 1 1 0]     [1]
                 [0 0 0 0 0]     [0 0 0 0 0]     [1],
   
             [1 0 0 0 0]     [0]
             [0 1 0 1 0]     [1]
   [I](x0) = [0 0 1 1 0]x0 + [0]
             [0 0 0 0 0]     [0]
             [0 0 0 0 1]     [0]
  orientation:
               [1 1 0 1 1]    [1 0 0 1 0]    [1]    [1 1 0 0 1]    [1 0 0 1 0]    [0]         
               [0 1 1 2 0]    [0 0 0 0 1]    [2]    [0 1 1 0 0]    [0 0 0 0 1]    [1]         
   T(I(x),y) = [0 0 0 0 0]x + [0 0 1 1 0]y + [0] >= [0 0 0 0 0]x + [0 0 1 1 0]y + [0] = T(x,y)
               [0 1 0 1 0]    [0 0 1 1 0]    [2]    [0 1 0 0 0]    [0 0 1 1 0]    [1]         
               [0 0 0 0 0]    [0 0 0 0 0]    [1]    [0 0 0 0 0]    [0 0 0 0 0]    [1]         
   
            [1 1 0 0 1]    [1 0 0 1 0]    [0]    [1 1 0 0 1]    [1 0 0 0 0]    [0]            
            [0 1 1 0 0]    [0 0 0 0 1]    [1]    [0 1 1 0 0]    [0 0 0 0 1]    [1]            
   T(x,y) = [0 0 0 0 0]x + [0 0 1 1 0]y + [0] >= [0 0 0 0 0]x + [0 0 1 1 0]y + [0] = T(x,I(y))
            [0 1 0 0 0]    [0 0 1 1 0]    [1]    [0 1 0 0 0]    [0 0 1 1 0]    [1]            
            [0 0 0 0 0]    [0 0 0 0 0]    [1]    [0 0 0 0 0]    [0 0 0 0 0]    [1]            
  problem:
   strict:
    
   weak:
    T(x,y) -> T(x,I(y))
  Qed