/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:
  f(g(x)) -> x
 weak:
  a() -> h(g(f(a())))

Proof:
 Arctic Interpretation Processor:
  dimension: 3
  interpretation:
             [0  0  0 ]  
   [h](x0) = [-& -& -&]x0
             [0  0  0 ]  ,
   
         [0 ]
   [a] = [-&]
         [0 ],
   
             [0  1  0 ]  
   [f](x0) = [0  1  -&]x0
             [-& 1  0 ]  ,
   
             [0 0 0]  
   [g](x0) = [0 0 0]x0
             [0 0 0]  
  orientation:
             [1 1 1]          
   f(g(x)) = [1 1 1]x >= x = x
             [1 1 1]          
   
         [0 ]    [0 ]               
   a() = [-&] >= [-&] = h(g(f(a())))
         [0 ]    [0 ]               
  problem:
   strict:
    
   weak:
    a() -> h(g(f(a())))
  Qed