253.67/44.34	YES
253.67/44.35	
253.67/44.35	Problem:
253.67/44.35	 a(x1) -> x1
253.67/44.35	 a(a(b(x1))) -> b(b(c(a(a(a(x1))))))
253.67/44.35	 a(c(x1)) -> x1
253.67/44.35	
253.67/44.35	Proof:
253.67/44.35	 String Reversal Processor:
253.67/44.35	  a(x1) -> x1
253.67/44.35	  b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
253.67/44.35	  c(a(x1)) -> x1
253.67/44.35	  DP Processor:
253.67/44.35	   DPs:
253.67/44.35	    b#(a(a(x1))) -> b#(x1)
253.67/44.35	    b#(a(a(x1))) -> b#(b(x1))
253.67/44.35	    b#(a(a(x1))) -> c#(b(b(x1)))
253.67/44.35	    b#(a(a(x1))) -> a#(c(b(b(x1))))
253.67/44.35	    b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
253.67/44.35	    b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
253.67/44.35	   TRS:
253.67/44.35	    a(x1) -> x1
253.67/44.35	    b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
253.67/44.35	    c(a(x1)) -> x1
253.67/44.35	   TDG Processor:
253.67/44.35	    DPs:
253.67/44.35	     b#(a(a(x1))) -> b#(x1)
253.67/44.35	     b#(a(a(x1))) -> b#(b(x1))
253.67/44.35	     b#(a(a(x1))) -> c#(b(b(x1)))
253.67/44.35	     b#(a(a(x1))) -> a#(c(b(b(x1))))
253.67/44.35	     b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
253.67/44.35	     b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
253.67/44.35	    TRS:
253.67/44.35	     a(x1) -> x1
253.67/44.35	     b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
253.67/44.35	     c(a(x1)) -> x1
253.67/44.35	    graph:
253.67/44.35	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
253.67/44.35	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
253.67/44.35	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(c(b(b(x1))))
253.67/44.35	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> c#(b(b(x1)))
253.67/44.35	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1))
253.67/44.35	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1)
253.67/44.35	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
253.67/44.35	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
253.67/44.35	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(c(b(b(x1))))
253.67/44.35	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> c#(b(b(x1)))
253.67/44.35	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1))
253.67/44.35	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1)
253.67/44.35	    SCC Processor:
253.67/44.35	     #sccs: 1
253.67/44.35	     #rules: 2
253.67/44.35	     #arcs: 12/36
253.67/44.35	     DPs:
253.67/44.35	      b#(a(a(x1))) -> b#(b(x1))
253.67/44.35	      b#(a(a(x1))) -> b#(x1)
253.67/44.35	     TRS:
253.67/44.35	      a(x1) -> x1
253.67/44.35	      b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
253.67/44.35	      c(a(x1)) -> x1
253.67/44.35	     Arctic Interpretation Processor:
253.67/44.35	      dimension: 2
253.67/44.35	      usable rules:
253.67/44.35	       a(x1) -> x1
253.67/44.35	       b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
253.67/44.35	       c(a(x1)) -> x1
253.67/44.35	      interpretation:
253.67/44.35	       [b#](x0) = [0  -&]x0 + [0],
253.67/44.35	       
253.67/44.35	                 [0  -&]     [0]
253.67/44.35	       [c](x0) = [0  -&]x0 + [0],
253.67/44.35	       
253.67/44.35	                 [0  -&]     [0]
253.67/44.35	       [b](x0) = [1  0 ]x0 + [2],
253.67/44.35	       
253.67/44.35	                 [0 0]     [0]
253.67/44.35	       [a](x0) = [1 0]x0 + [1]
253.67/44.35	      orientation:
253.67/44.35	       b#(a(a(x1))) = [1 0]x1 + [1] >= [0  -&]x1 + [0] = b#(b(x1))
253.67/44.35	       
253.67/44.35	       b#(a(a(x1))) = [1 0]x1 + [1] >= [0  -&]x1 + [0] = b#(x1)
253.67/44.35	       
253.67/44.35	               [0 0]     [0]           
253.67/44.35	       a(x1) = [1 0]x1 + [1] >= x1 = x1
253.67/44.35	       
253.67/44.35	                     [1 0]     [1]    [1  -&]     [1]                       
253.67/44.35	       b(a(a(x1))) = [2 1]x1 + [2] >= [2  -&]x1 + [2] = a(a(a(c(b(b(x1))))))
253.67/44.35	       
253.67/44.35	                  [0 0]     [0]           
253.67/44.35	       c(a(x1)) = [0 0]x1 + [0] >= x1 = x1
253.67/44.35	      problem:
253.67/44.35	       DPs:
253.67/44.35	        
253.67/44.35	       TRS:
253.67/44.35	        a(x1) -> x1
253.67/44.35	        b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
253.67/44.35	        c(a(x1)) -> x1
253.67/44.35	      Qed
253.67/44.36	EOF