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

Proof:
 String Reversal Processor:
  strict:
   a(b(c(x1))) -> c(c(c(x1)))
   c(c(b(x1))) -> c(c(a(x1)))
  weak:
   c(a(b(x1))) -> b(c(b(x1)))
   c(a(a(x1))) -> c(c(c(x1)))
   c(a(c(x1))) -> b(c(c(x1)))
   a(c(b(x1))) -> b(a(a(x1)))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [b](x0) = 2x0 + 8,
    
    [a](x0) = 2x0 + 5,
    
    [c](x0) = 2x0 + 1
   orientation:
    a(b(c(x1))) = 8x1 + 25 >= 8x1 + 7 = c(c(c(x1)))
    
    c(c(b(x1))) = 8x1 + 35 >= 8x1 + 23 = c(c(a(x1)))
    
    c(a(b(x1))) = 8x1 + 43 >= 8x1 + 42 = b(c(b(x1)))
    
    c(a(a(x1))) = 8x1 + 31 >= 8x1 + 7 = c(c(c(x1)))
    
    c(a(c(x1))) = 8x1 + 15 >= 8x1 + 14 = b(c(c(x1)))
    
    a(c(b(x1))) = 8x1 + 39 >= 8x1 + 38 = b(a(a(x1)))
   problem:
    strict:
     
    weak:
     
   Qed