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

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [b](x0) = 2x0 + 4,
   
   [c](x0) = 2x0 + 2,
   
   [a](x0) = 2x0
  orientation:
   a(b(c(x1))) = 8x1 + 16 >= 8x1 + 14 = c(c(c(x1)))
   
   b(a(b(x1))) = 8x1 + 20 >= 8x1 + 2 = c(a(a(x1)))
   
   b(c(a(x1))) = 8x1 + 8 >= 8x1 + 8 = a(a(c(x1)))
   
   a(c(c(x1))) = 8x1 + 12 >= 8x1 + 10 = c(b(a(x1)))
   
   b(a(b(x1))) = 8x1 + 20 >= 8x1 + 16 = b(c(c(x1)))
   
   b(b(c(x1))) = 8x1 + 20 >= 8x1 + 20 = a(c(b(x1)))
   
   c(a(a(x1))) = 8x1 + 2 >= 8x1 + 2 = c(a(a(x1)))
  problem:
   strict:
    
   weak:
    b(c(a(x1))) -> a(a(c(x1)))
    b(b(c(x1))) -> a(c(b(x1)))
    c(a(a(x1))) -> c(a(a(x1)))
  Qed