164.45/42.02	YES
164.64/42.02	
164.64/42.02	Problem:
164.64/42.02	 a(b(x1)) -> x1
164.64/42.02	 a(c(x1)) -> b(c(a(b(c(a(x1))))))
164.64/42.02	 b(c(x1)) -> x1
164.64/42.02	
164.64/42.02	Proof:
164.64/42.02	 String Reversal Processor:
164.64/42.02	  b(a(x1)) -> x1
164.64/42.02	  c(a(x1)) -> a(c(b(a(c(b(x1))))))
164.64/42.02	  c(b(x1)) -> x1
164.64/42.02	  DP Processor:
164.64/42.02	   DPs:
164.64/42.02	    c#(a(x1)) -> b#(x1)
164.64/42.02	    c#(a(x1)) -> c#(b(x1))
164.64/42.02	    c#(a(x1)) -> b#(a(c(b(x1))))
164.64/42.02	    c#(a(x1)) -> c#(b(a(c(b(x1)))))
164.64/42.02	   TRS:
164.64/42.02	    b(a(x1)) -> x1
164.64/42.02	    c(a(x1)) -> a(c(b(a(c(b(x1))))))
164.64/42.02	    c(b(x1)) -> x1
164.64/42.02	   TDG Processor:
164.64/42.02	    DPs:
164.64/42.02	     c#(a(x1)) -> b#(x1)
164.64/42.02	     c#(a(x1)) -> c#(b(x1))
164.64/42.02	     c#(a(x1)) -> b#(a(c(b(x1))))
164.64/42.02	     c#(a(x1)) -> c#(b(a(c(b(x1)))))
164.64/42.02	    TRS:
164.64/42.02	     b(a(x1)) -> x1
164.64/42.02	     c(a(x1)) -> a(c(b(a(c(b(x1))))))
164.64/42.02	     c(b(x1)) -> x1
164.64/42.02	    graph:
164.64/42.02	     c#(a(x1)) -> c#(b(a(c(b(x1))))) ->
164.64/42.02	     c#(a(x1)) -> c#(b(a(c(b(x1)))))
164.64/42.02	     c#(a(x1)) -> c#(b(a(c(b(x1))))) -> c#(a(x1)) -> b#(a(c(b(x1))))
164.64/42.02	     c#(a(x1)) -> c#(b(a(c(b(x1))))) -> c#(a(x1)) -> c#(b(x1))
164.64/42.02	     c#(a(x1)) -> c#(b(a(c(b(x1))))) -> c#(a(x1)) -> b#(x1)
164.64/42.02	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(b(a(c(b(x1)))))
164.64/42.02	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> b#(a(c(b(x1))))
164.64/42.02	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(b(x1))
164.64/42.02	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> b#(x1)
164.64/42.02	    SCC Processor:
164.64/42.02	     #sccs: 1
164.64/42.02	     #rules: 2
164.64/42.02	     #arcs: 8/16
164.64/42.02	     DPs:
164.64/42.02	      c#(a(x1)) -> c#(b(a(c(b(x1)))))
164.64/42.02	      c#(a(x1)) -> c#(b(x1))
164.64/42.02	     TRS:
164.64/42.02	      b(a(x1)) -> x1
164.64/42.02	      c(a(x1)) -> a(c(b(a(c(b(x1))))))
164.64/42.02	      c(b(x1)) -> x1
164.64/42.02	     Arctic Interpretation Processor:
164.64/42.02	      dimension: 1
164.64/42.02	      usable rules:
164.64/42.02	       b(a(x1)) -> x1
164.64/42.02	       c(a(x1)) -> a(c(b(a(c(b(x1))))))
164.64/42.02	       c(b(x1)) -> x1
164.64/42.02	      interpretation:
164.64/42.02	       [c#](x0) = -2x0 + 0,
164.64/42.02	       
164.64/42.02	       [c](x0) = 1x0 + 2,
164.64/42.02	       
164.64/42.02	       [a](x0) = 1x0 + 3,
164.64/42.02	       
164.64/42.02	       [b](x0) = -1x0 + 0
164.64/42.02	      orientation:
164.64/42.02	       c#(a(x1)) = -1x1 + 1 >= -2x1 + 0 = c#(b(a(c(b(x1)))))
164.64/42.02	       
164.64/42.02	       c#(a(x1)) = -1x1 + 1 >= -3x1 + 0 = c#(b(x1))
164.64/42.02	       
164.64/42.02	       b(a(x1)) = x1 + 2 >= x1 = x1
164.64/42.02	       
164.64/42.02	       c(a(x1)) = 2x1 + 4 >= 2x1 + 4 = a(c(b(a(c(b(x1))))))
164.64/42.02	       
164.64/42.02	       c(b(x1)) = x1 + 2 >= x1 = x1
164.64/42.02	      problem:
164.64/42.02	       DPs:
164.64/42.02	        
164.64/42.02	       TRS:
164.64/42.02	        b(a(x1)) -> x1
164.64/42.02	        c(a(x1)) -> a(c(b(a(c(b(x1))))))
164.64/42.02	        c(b(x1)) -> x1
164.64/42.02	      Qed
164.64/42.03	EOF