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

Proof:
 String Reversal Processor:
  strict:
   c(b(a(x1))) -> a(a(b(x1)))
   b(b(a(x1))) -> a(c(b(x1)))
  weak:
   a(b(a(x1))) -> a(b(a(x1)))
   a(b(c(x1))) -> b(a(a(x1)))
   a(a(c(x1))) -> b(a(c(x1)))
   c(b(c(x1))) -> c(c(a(x1)))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [b](x0) = 3x0,
    
    [c](x0) = 3x0 + 4,
    
    [a](x0) = 3x0 + 2
   orientation:
    c(b(a(x1))) = 27x1 + 22 >= 27x1 + 8 = a(a(b(x1)))
    
    b(b(a(x1))) = 27x1 + 18 >= 27x1 + 14 = a(c(b(x1)))
    
    a(b(a(x1))) = 27x1 + 20 >= 27x1 + 20 = a(b(a(x1)))
    
    a(b(c(x1))) = 27x1 + 38 >= 27x1 + 24 = b(a(a(x1)))
    
    a(a(c(x1))) = 27x1 + 44 >= 27x1 + 42 = b(a(c(x1)))
    
    c(b(c(x1))) = 27x1 + 40 >= 27x1 + 34 = c(c(a(x1)))
   problem:
    strict:
     
    weak:
     a(b(a(x1))) -> a(b(a(x1)))
   Qed