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

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [c](x0) = 2x0 + 2,
   
   [a](x0) = 2x0 + 6,
   
   [b](x0) = 2x0
  orientation:
   c(a(a(x1))) = 8x1 + 38 >= 8x1 + 26 = c(b(a(x1)))
   
   c(b(c(x1))) = 8x1 + 10 >= 8x1 + 10 = a(c(b(x1)))
   
   b(b(c(x1))) = 8x1 + 8 >= 8x1 = b(b(b(x1)))
   
   c(b(c(x1))) = 8x1 + 10 >= 8x1 + 4 = b(c(b(x1)))
   
   b(b(a(x1))) = 8x1 + 24 >= 8x1 + 22 = c(a(c(x1)))
   
   a(c(a(x1))) = 8x1 + 34 >= 8x1 + 2 = c(b(b(x1)))
  problem:
   strict:
    c(b(c(x1))) -> a(c(b(x1)))
   weak:
    
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = 4x0,
    
    [a](x0) = x0,
    
    [b](x0) = 12x0
   orientation:
    c(b(c(x1))) = 20x1 >= 16x1 = a(c(b(x1)))
   problem:
    strict:
     
    weak:
     
   Qed