165.63/42.31	YES
165.63/42.31	
165.63/42.31	Problem:
165.63/42.31	 a(b(x1)) -> x1
165.63/42.31	 a(c(x1)) -> c(b(b(c(a(a(x1))))))
165.63/42.31	 b(c(x1)) -> x1
165.63/42.31	
165.63/42.31	Proof:
165.63/42.31	 String Reversal Processor:
165.63/42.31	  b(a(x1)) -> x1
165.63/42.31	  c(a(x1)) -> a(a(c(b(b(c(x1))))))
165.63/42.31	  c(b(x1)) -> x1
165.63/42.31	  DP Processor:
165.63/42.31	   DPs:
165.63/42.31	    c#(a(x1)) -> c#(x1)
165.63/42.31	    c#(a(x1)) -> b#(c(x1))
165.63/42.31	    c#(a(x1)) -> b#(b(c(x1)))
165.63/42.31	    c#(a(x1)) -> c#(b(b(c(x1))))
165.63/42.31	   TRS:
165.63/42.31	    b(a(x1)) -> x1
165.63/42.31	    c(a(x1)) -> a(a(c(b(b(c(x1))))))
165.63/42.31	    c(b(x1)) -> x1
165.63/42.31	   TDG Processor:
165.63/42.31	    DPs:
165.63/42.31	     c#(a(x1)) -> c#(x1)
165.63/42.31	     c#(a(x1)) -> b#(c(x1))
165.63/42.31	     c#(a(x1)) -> b#(b(c(x1)))
165.63/42.31	     c#(a(x1)) -> c#(b(b(c(x1))))
165.63/42.31	    TRS:
165.63/42.31	     b(a(x1)) -> x1
165.63/42.31	     c(a(x1)) -> a(a(c(b(b(c(x1))))))
165.63/42.31	     c(b(x1)) -> x1
165.63/42.31	    graph:
165.63/42.31	     c#(a(x1)) -> c#(b(b(c(x1)))) -> c#(a(x1)) -> c#(b(b(c(x1))))
165.63/42.31	     c#(a(x1)) -> c#(b(b(c(x1)))) -> c#(a(x1)) -> b#(b(c(x1)))
165.63/42.31	     c#(a(x1)) -> c#(b(b(c(x1)))) -> c#(a(x1)) -> b#(c(x1))
165.63/42.31	     c#(a(x1)) -> c#(b(b(c(x1)))) -> c#(a(x1)) -> c#(x1)
165.63/42.31	     c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(b(b(c(x1))))
165.63/42.31	     c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(b(c(x1)))
165.63/42.31	     c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(c(x1))
165.63/42.31	     c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1)
165.63/42.31	    SCC Processor:
165.63/42.31	     #sccs: 1
165.63/42.31	     #rules: 2
165.63/42.31	     #arcs: 8/16
165.63/42.31	     DPs:
165.63/42.31	      c#(a(x1)) -> c#(b(b(c(x1))))
165.63/42.31	      c#(a(x1)) -> c#(x1)
165.63/42.31	     TRS:
165.63/42.31	      b(a(x1)) -> x1
165.63/42.31	      c(a(x1)) -> a(a(c(b(b(c(x1))))))
165.63/42.31	      c(b(x1)) -> x1
165.63/42.31	     Arctic Interpretation Processor:
165.63/42.31	      dimension: 1
165.63/42.31	      usable rules:
165.63/42.31	       b(a(x1)) -> x1
165.63/42.31	       c(a(x1)) -> a(a(c(b(b(c(x1))))))
165.63/42.31	       c(b(x1)) -> x1
165.63/42.31	      interpretation:
165.63/42.31	       [c#](x0) = x0 + 0,
165.63/42.31	       
165.63/42.31	       [c](x0) = 1x0,
165.63/42.31	       
165.63/42.31	       [a](x0) = 1x0 + 4,
165.63/42.31	       
165.63/42.31	       [b](x0) = -1x0 + 1
165.63/42.31	      orientation:
165.63/42.31	       c#(a(x1)) = 1x1 + 4 >= -1x1 + 1 = c#(b(b(c(x1))))
165.63/42.31	       
165.63/42.31	       c#(a(x1)) = 1x1 + 4 >= x1 + 0 = c#(x1)
165.63/42.31	       
165.63/42.31	       b(a(x1)) = x1 + 3 >= x1 = x1
165.63/42.31	       
165.63/42.31	       c(a(x1)) = 2x1 + 5 >= 2x1 + 5 = a(a(c(b(b(c(x1))))))
165.63/42.31	       
165.63/42.31	       c(b(x1)) = x1 + 2 >= x1 = x1
165.63/42.31	      problem:
165.63/42.31	       DPs:
165.63/42.31	        
165.63/42.31	       TRS:
165.63/42.31	        b(a(x1)) -> x1
165.63/42.31	        c(a(x1)) -> a(a(c(b(b(c(x1))))))
165.63/42.31	        c(b(x1)) -> x1
165.63/42.31	      Qed
165.63/42.32	EOF