/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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NO

Problem:
 f(X,g(X)) -> f(1(),g(X))
 g(1()) -> g(0())

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
         [0]
   [0] = [0]
         [1],
   
         [0]
   [1] = [1]
         [1],
   
                 [1 0 0]     [1 0 0]     [0]
   [f](x0, x1) = [1 0 0]x0 + [0 0 1]x1 + [1]
                 [0 0 0]     [0 0 0]     [0],
   
             [1 1 1]     [0]
   [g](x0) = [0 0 0]x0 + [0]
             [0 0 1]     [1]
  orientation:
               [2 1 1]    [0]    [1 1 1]    [0]              
   f(X,g(X)) = [1 0 1]X + [2] >= [0 0 1]X + [2] = f(1(),g(X))
               [0 0 0]    [0]    [0 0 0]    [0]              
   
            [2]    [1]         
   g(1()) = [0] >= [0] = g(0())
            [2]    [2]         
  problem:
   f(X,g(X)) -> f(1(),g(X))
  Unfolding Processor:
   loop length: 1
   terms:
    f(1(),g(1()))
   context: []
   substitution:
    
   Qed