175.12/44.78	YES
175.12/44.78	
175.12/44.78	Problem:
175.12/44.78	 a(b(x1)) -> x1
175.12/44.78	 a(b(c(x1))) -> b(c(b(c(a(a(b(x1)))))))
175.12/44.78	
175.12/44.78	Proof:
175.12/44.78	 String Reversal Processor:
175.12/44.78	  b(a(x1)) -> x1
175.12/44.78	  c(b(a(x1))) -> b(a(a(c(b(c(b(x1)))))))
175.12/44.78	  DP Processor:
175.12/44.78	   DPs:
175.12/44.78	    c#(b(a(x1))) -> b#(x1)
175.12/44.78	    c#(b(a(x1))) -> c#(b(x1))
175.12/44.78	    c#(b(a(x1))) -> b#(c(b(x1)))
175.12/44.78	    c#(b(a(x1))) -> c#(b(c(b(x1))))
175.12/44.78	    c#(b(a(x1))) -> b#(a(a(c(b(c(b(x1)))))))
175.12/44.78	   TRS:
175.12/44.78	    b(a(x1)) -> x1
175.12/44.78	    c(b(a(x1))) -> b(a(a(c(b(c(b(x1)))))))
175.12/44.78	   TDG Processor:
175.12/44.78	    DPs:
175.12/44.78	     c#(b(a(x1))) -> b#(x1)
175.12/44.78	     c#(b(a(x1))) -> c#(b(x1))
175.12/44.78	     c#(b(a(x1))) -> b#(c(b(x1)))
175.12/44.78	     c#(b(a(x1))) -> c#(b(c(b(x1))))
175.12/44.78	     c#(b(a(x1))) -> b#(a(a(c(b(c(b(x1)))))))
175.12/44.78	    TRS:
175.12/44.78	     b(a(x1)) -> x1
175.12/44.78	     c(b(a(x1))) -> b(a(a(c(b(c(b(x1)))))))
175.12/44.78	    graph:
175.12/44.78	     c#(b(a(x1))) -> c#(b(c(b(x1)))) ->
175.12/44.78	     c#(b(a(x1))) -> b#(a(a(c(b(c(b(x1)))))))
175.12/44.78	     c#(b(a(x1))) -> c#(b(c(b(x1)))) ->
175.12/44.78	     c#(b(a(x1))) -> c#(b(c(b(x1))))
175.12/44.78	     c#(b(a(x1))) -> c#(b(c(b(x1)))) -> c#(b(a(x1))) -> b#(c(b(x1)))
175.12/44.78	     c#(b(a(x1))) -> c#(b(c(b(x1)))) -> c#(b(a(x1))) -> c#(b(x1))
175.12/44.78	     c#(b(a(x1))) -> c#(b(c(b(x1)))) -> c#(b(a(x1))) -> b#(x1)
175.12/44.78	     c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> b#(a(a(c(b(c(b(x1)))))))
175.12/44.78	     c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> c#(b(c(b(x1))))
175.12/44.78	     c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> b#(c(b(x1)))
175.12/44.78	     c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> c#(b(x1))
175.12/44.78	     c#(b(a(x1))) -> c#(b(x1)) -> c#(b(a(x1))) -> b#(x1)
175.12/44.78	    SCC Processor:
175.12/44.78	     #sccs: 1
175.12/44.78	     #rules: 2
175.12/44.78	     #arcs: 10/25
175.12/44.78	     DPs:
175.12/44.78	      c#(b(a(x1))) -> c#(b(c(b(x1))))
175.12/44.78	      c#(b(a(x1))) -> c#(b(x1))
175.12/44.78	     TRS:
175.12/44.78	      b(a(x1)) -> x1
175.12/44.78	      c(b(a(x1))) -> b(a(a(c(b(c(b(x1)))))))
175.12/44.78	     Arctic Interpretation Processor:
175.12/44.78	      dimension: 1
175.12/44.78	      usable rules:
175.12/44.78	       b(a(x1)) -> x1
175.12/44.78	       c(b(a(x1))) -> b(a(a(c(b(c(b(x1)))))))
175.12/44.78	      interpretation:
175.12/44.78	       [c#](x0) = x0 + 1,
175.12/44.78	       
175.12/44.78	       [c](x0) = 7x0 + 0,
175.12/44.78	       
175.12/44.78	       [a](x0) = 7x0 + 14,
175.12/44.78	       
175.12/44.78	       [b](x0) = -7x0 + 0
175.12/44.78	      orientation:
175.12/44.78	       c#(b(a(x1))) = x1 + 7 >= -7x1 + 1 = c#(b(c(b(x1))))
175.12/44.78	       
175.12/44.78	       c#(b(a(x1))) = x1 + 7 >= -7x1 + 1 = c#(b(x1))
175.12/44.78	       
175.12/44.78	       b(a(x1)) = x1 + 7 >= x1 = x1
175.12/44.78	       
175.12/44.78	       c(b(a(x1))) = 7x1 + 14 >= 7x1 + 14 = b(a(a(c(b(c(b(x1)))))))
175.12/44.78	      problem:
175.12/44.78	       DPs:
175.12/44.78	        
175.12/44.78	       TRS:
175.12/44.78	        b(a(x1)) -> x1
175.12/44.78	        c(b(a(x1))) -> b(a(a(c(b(c(b(x1)))))))
175.12/44.78	      Qed
175.12/44.79	EOF