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

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [b](x0) = 3x0,
   
   [c](x0) = 3x0 + 1,
   
   [a](x0) = 3x0 + 2
  orientation:
   c(c(c(x1))) = 27x1 + 13 >= 27x1 + 10 = c(b(c(x1)))
   
   b(b(c(x1))) = 27x1 + 9 >= 27x1 + 5 = a(c(b(x1)))
   
   b(a(b(x1))) = 27x1 + 6 >= 27x1 + 4 = c(c(b(x1)))
   
   b(a(a(x1))) = 27x1 + 24 >= 27x1 + 8 = a(a(b(x1)))
   
   b(b(a(x1))) = 27x1 + 18 >= 27x1 + 11 = a(b(c(x1)))
   
   b(b(a(x1))) = 27x1 + 18 >= 27x1 + 17 = a(a(c(x1)))
  problem:
   strict:
    
   weak:
    
  Qed