/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:
 b(a(b(x1))) -> a(b(a(x1)))
 b(b(a(x1))) -> b(b(b(x1)))

Proof:
 String Reversal Processor:
  b(a(b(x1))) -> a(b(a(x1)))
  a(b(b(x1))) -> b(b(b(x1)))
  DP Processor:
   DPs:
    b#(a(b(x1))) -> a#(x1)
    b#(a(b(x1))) -> b#(a(x1))
    b#(a(b(x1))) -> a#(b(a(x1)))
    a#(b(b(x1))) -> b#(b(b(x1)))
   TRS:
    b(a(b(x1))) -> a(b(a(x1)))
    a(b(b(x1))) -> b(b(b(x1)))
   TDG Processor:
    DPs:
     b#(a(b(x1))) -> a#(x1)
     b#(a(b(x1))) -> b#(a(x1))
     b#(a(b(x1))) -> a#(b(a(x1)))
     a#(b(b(x1))) -> b#(b(b(x1)))
    TRS:
     b(a(b(x1))) -> a(b(a(x1)))
     a(b(b(x1))) -> b(b(b(x1)))
    graph:
     a#(b(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> a#(b(a(x1)))
     a#(b(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(a(x1))
     a#(b(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> a#(x1)
     b#(a(b(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) -> b#(b(b(x1)))
     b#(a(b(x1))) -> a#(x1) -> a#(b(b(x1))) -> b#(b(b(x1)))
     b#(a(b(x1))) -> b#(a(x1)) -> b#(a(b(x1))) -> a#(b(a(x1)))
     b#(a(b(x1))) -> b#(a(x1)) -> b#(a(b(x1))) -> b#(a(x1))
     b#(a(b(x1))) -> b#(a(x1)) -> b#(a(b(x1))) -> a#(x1)
    Arctic Interpretation Processor:
     dimension: 1
     usable rules:
      b(a(b(x1))) -> a(b(a(x1)))
      a(b(b(x1))) -> b(b(b(x1)))
     interpretation:
      [a#](x0) = 1x0 + 0,
      
      [b#](x0) = 1x0 + 0,
      
      [a](x0) = 5x0,
      
      [b](x0) = 5x0 + 0
     orientation:
      b#(a(b(x1))) = 11x1 + 6 >= 1x1 + 0 = a#(x1)
      
      b#(a(b(x1))) = 11x1 + 6 >= 6x1 + 0 = b#(a(x1))
      
      b#(a(b(x1))) = 11x1 + 6 >= 11x1 + 1 = a#(b(a(x1)))
      
      a#(b(b(x1))) = 11x1 + 6 >= 11x1 + 6 = b#(b(b(x1)))
      
      b(a(b(x1))) = 15x1 + 10 >= 15x1 + 5 = a(b(a(x1)))
      
      a(b(b(x1))) = 15x1 + 10 >= 15x1 + 10 = b(b(b(x1)))
     problem:
      DPs:
       b#(a(b(x1))) -> a#(b(a(x1)))
       a#(b(b(x1))) -> b#(b(b(x1)))
      TRS:
       b(a(b(x1))) -> a(b(a(x1)))
       a(b(b(x1))) -> b(b(b(x1)))
     Restore Modifier:
      DPs:
       b#(a(b(x1))) -> a#(b(a(x1)))
       a#(b(b(x1))) -> b#(b(b(x1)))
      TRS:
       b(a(b(x1))) -> a(b(a(x1)))
       a(b(b(x1))) -> b(b(b(x1)))
      EDG Processor:
       DPs:
        b#(a(b(x1))) -> a#(b(a(x1)))
        a#(b(b(x1))) -> b#(b(b(x1)))
       TRS:
        b(a(b(x1))) -> a(b(a(x1)))
        a(b(b(x1))) -> b(b(b(x1)))
       graph:
        a#(b(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> a#(b(a(x1)))
        b#(a(b(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) -> b#(b(b(x1)))
       Arctic Interpretation Processor:
        dimension: 3
        usable rules:
         b(a(b(x1))) -> a(b(a(x1)))
         a(b(b(x1))) -> b(b(b(x1)))
        interpretation:
         [a#](x0) = [-& 0  -&]x0 + [0],
         
         [b#](x0) = [0 0 0]x0 + [0],
         
                   [0  0  -&]     [0]
         [a](x0) = [-& 0  -&]x0 + [0]
                   [0  1  0 ]     [1],
         
                   [0  0  0 ]     [0 ]
         [b](x0) = [0  0  -&]x0 + [-&]
                   [0  0  0 ]     [0 ]
        orientation:
         b#(a(b(x1))) = [1 1 0]x1 + [1] >= [0  0  -&]x1 + [0] = a#(b(a(x1)))
         
         a#(b(b(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b#(b(b(x1)))
         
                       [1 1 0]     [1]    [0  1  0 ]     [1]              
         b(a(b(x1))) = [0 0 0]x1 + [0] >= [0  0  -&]x1 + [0] = a(b(a(x1)))
                       [1 1 0]     [1]    [1  1  0 ]     [1]              
         
                       [0 0 0]     [0]    [0 0 0]     [0]              
         a(b(b(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(b(b(x1)))
                       [1 1 1]     [1]    [0 0 0]     [0]              
        problem:
         DPs:
          a#(b(b(x1))) -> b#(b(b(x1)))
         TRS:
          b(a(b(x1))) -> a(b(a(x1)))
          a(b(b(x1))) -> b(b(b(x1)))
        Restore Modifier:
         DPs:
          a#(b(b(x1))) -> b#(b(b(x1)))
         TRS:
          b(a(b(x1))) -> a(b(a(x1)))
          a(b(b(x1))) -> b(b(b(x1)))
         EDG Processor:
          DPs:
           a#(b(b(x1))) -> b#(b(b(x1)))
          TRS:
           b(a(b(x1))) -> a(b(a(x1)))
           a(b(b(x1))) -> b(b(b(x1)))
          graph:
           
          SCC Processor:
           #sccs: 0
           #rules: 0
           #arcs: 0/1