/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem:
 strict:
  a(c(a(x1))) -> a(b(b(x1)))
  a(c(a(x1))) -> a(c(b(x1)))
  a(c(c(x1))) -> b(b(c(x1)))
  b(c(a(x1))) -> c(b(a(x1)))
 weak:
  c(b(c(x1))) -> b(c(c(x1)))
  b(b(b(x1))) -> c(a(c(x1)))

Proof:
 String Reversal Processor:
  strict:
   a(c(a(x1))) -> b(b(a(x1)))
   a(c(a(x1))) -> b(c(a(x1)))
   c(c(a(x1))) -> c(b(b(x1)))
   a(c(b(x1))) -> a(b(c(x1)))
  weak:
   c(b(c(x1))) -> c(c(b(x1)))
   b(b(b(x1))) -> c(a(c(x1)))
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [a](x0) = 8x0,
    
    [b](x0) = 4x0
   orientation:
    a(c(a(x1))) = 16x1 >= 16x1 = b(b(a(x1)))
    
    a(c(a(x1))) = 16x1 >= 12x1 = b(c(a(x1)))
    
    c(c(a(x1))) = 8x1 >= 8x1 = c(b(b(x1)))
    
    a(c(b(x1))) = 12x1 >= 12x1 = a(b(c(x1)))
    
    c(b(c(x1))) = 4x1 >= 4x1 = c(c(b(x1)))
    
    b(b(b(x1))) = 12x1 >= 8x1 = c(a(c(x1)))
   problem:
    strict:
     a(c(a(x1))) -> b(b(a(x1)))
     c(c(a(x1))) -> c(b(b(x1)))
     a(c(b(x1))) -> a(b(c(x1)))
    weak:
     c(b(c(x1))) -> c(c(b(x1)))
   Arctic Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0,
     
     [a](x0) = 13x0,
     
     [b](x0) = x0
    orientation:
     a(c(a(x1))) = 26x1 >= 13x1 = b(b(a(x1)))
     
     c(c(a(x1))) = 13x1 >= x1 = c(b(b(x1)))
     
     a(c(b(x1))) = 13x1 >= 13x1 = a(b(c(x1)))
     
     c(b(c(x1))) = x1 >= x1 = c(c(b(x1)))
    problem:
     strict:
      a(c(b(x1))) -> a(b(c(x1)))
     weak:
      c(b(c(x1))) -> c(c(b(x1)))
    String Reversal Processor:
     strict:
      b(c(a(x1))) -> c(b(a(x1)))
     weak:
      c(b(c(x1))) -> b(c(c(x1)))
     Bounds Processor:
      bound: 1
      enrichment: match-rt
      automaton:
       final states: {4}
       transitions:
        c1(11) -> 12*
        c1(20) -> 21*
        c1(13) -> 14*
        a1(9) -> 10*
        b1(10) -> 11*
        b1(14) -> 15*
        b0(4) -> 4*
        c0(4) -> 4*
        a0(4) -> 4*
        12 -> 13,4
        14 -> 20*
        4 -> 9*
        21 -> 14*
        15 -> 4*
      problem:
       strict:
        
       weak:
        c(b(c(x1))) -> b(c(c(x1)))
      Qed