/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

Proof:
 String Reversal Processor:
  strict:
   c(b(b(x1))) -> b(a(a(x1)))
   a(b(b(x1))) -> b(b(c(x1)))
  weak:
   c(c(a(x1))) -> b(a(c(x1)))
   a(b(a(x1))) -> c(c(b(x1)))
   a(a(b(x1))) -> b(b(c(x1)))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [b](x0) = 2x0 + 8,
    
    [c](x0) = 2x0 + 2,
    
    [a](x0) = 2x0 + 5
   orientation:
    c(b(b(x1))) = 8x1 + 50 >= 8x1 + 38 = b(a(a(x1)))
    
    a(b(b(x1))) = 8x1 + 53 >= 8x1 + 32 = b(b(c(x1)))
    
    c(c(a(x1))) = 8x1 + 26 >= 8x1 + 26 = b(a(c(x1)))
    
    a(b(a(x1))) = 8x1 + 41 >= 8x1 + 38 = c(c(b(x1)))
    
    a(a(b(x1))) = 8x1 + 47 >= 8x1 + 32 = b(b(c(x1)))
   problem:
    strict:
     
    weak:
     c(c(a(x1))) -> b(a(c(x1)))
   Qed