/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(f(a()),h(a(),f(a())))) -> f(h(g(f(a()),a()),g(f(a()),f(a()))))

Proof:
 Matrix Interpretation Processor: dim=3
  
  interpretation:
                 [1 0 0]     [1 0 0]  
   [g](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                 [0 0 0]     [0 1 0]  ,
   
                 [1 0 0]     [1 0 0]  
   [h](x0, x1) = [0 0 0]x0 + [0 0 1]x1
                 [0 0 0]     [0 0 0]  ,
   
             [1 0 1]     [0]
   [f](x0) = [0 0 0]x0 + [0]
             [0 0 0]     [1],
   
         [0]
   [a] = [0]
         [0]
  orientation:
                                [1]    [0]                                       
   f(g(f(a()),h(a(),f(a())))) = [0] >= [0] = f(h(g(f(a()),a()),g(f(a()),f(a()))))
                                [1]    [1]                                       
  problem:
   
  Qed