173.17/44.24	YES
173.17/44.25	
173.17/44.25	Problem:
173.17/44.25	 a(x1) -> x1
173.17/44.25	 a(b(x1)) -> b(a(c(x1)))
173.17/44.25	 b(x1) -> x1
173.17/44.25	 c(c(x1)) -> c(b(a(x1)))
173.17/44.25	
173.17/44.25	Proof:
173.17/44.25	 String Reversal Processor:
173.17/44.25	  a(x1) -> x1
173.17/44.25	  b(a(x1)) -> c(a(b(x1)))
173.17/44.25	  b(x1) -> x1
173.17/44.25	  c(c(x1)) -> a(b(c(x1)))
173.17/44.25	  DP Processor:
173.17/44.25	   DPs:
173.17/44.25	    b#(a(x1)) -> b#(x1)
173.17/44.25	    b#(a(x1)) -> a#(b(x1))
173.17/44.25	    b#(a(x1)) -> c#(a(b(x1)))
173.17/44.25	    c#(c(x1)) -> b#(c(x1))
173.17/44.25	    c#(c(x1)) -> a#(b(c(x1)))
173.17/44.25	   TRS:
173.17/44.25	    a(x1) -> x1
173.17/44.25	    b(a(x1)) -> c(a(b(x1)))
173.17/44.25	    b(x1) -> x1
173.17/44.25	    c(c(x1)) -> a(b(c(x1)))
173.17/44.25	   TDG Processor:
173.17/44.25	    DPs:
173.17/44.25	     b#(a(x1)) -> b#(x1)
173.17/44.25	     b#(a(x1)) -> a#(b(x1))
173.17/44.25	     b#(a(x1)) -> c#(a(b(x1)))
173.17/44.25	     c#(c(x1)) -> b#(c(x1))
173.17/44.25	     c#(c(x1)) -> a#(b(c(x1)))
173.17/44.25	    TRS:
173.17/44.25	     a(x1) -> x1
173.17/44.25	     b(a(x1)) -> c(a(b(x1)))
173.17/44.25	     b(x1) -> x1
173.17/44.25	     c(c(x1)) -> a(b(c(x1)))
173.17/44.25	    graph:
173.17/44.25	     c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(a(b(x1)))
173.17/44.25	     c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> a#(b(x1))
173.17/44.25	     c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> b#(x1)
173.17/44.25	     b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> a#(b(c(x1)))
173.17/44.25	     b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> b#(c(x1))
173.17/44.25	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1)))
173.17/44.25	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1))
173.17/44.25	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1)
173.17/44.25	    SCC Processor:
173.17/44.25	     #sccs: 1
173.17/44.25	     #rules: 3
173.17/44.25	     #arcs: 8/25
173.17/44.25	     DPs:
173.17/44.25	      c#(c(x1)) -> b#(c(x1))
173.17/44.25	      b#(a(x1)) -> b#(x1)
173.17/44.25	      b#(a(x1)) -> c#(a(b(x1)))
173.17/44.25	     TRS:
173.17/44.25	      a(x1) -> x1
173.17/44.25	      b(a(x1)) -> c(a(b(x1)))
173.17/44.25	      b(x1) -> x1
173.17/44.25	      c(c(x1)) -> a(b(c(x1)))
173.17/44.25	     Arctic Interpretation Processor:
173.17/44.25	      dimension: 2
173.17/44.25	      usable rules:
173.17/44.25	       a(x1) -> x1
173.17/44.25	       b(a(x1)) -> c(a(b(x1)))
173.17/44.25	       b(x1) -> x1
173.17/44.25	       c(c(x1)) -> a(b(c(x1)))
173.17/44.25	      interpretation:
173.17/44.25	       [c#](x0) = [0 1]x0 + [0],
173.17/44.25	       
173.17/44.25	       [b#](x0) = [1 0]x0 + [0],
173.17/44.25	       
173.17/44.25	                 [0 2]     [0]
173.17/44.25	       [c](x0) = [0 2]x0 + [0],
173.17/44.25	       
173.17/44.25	                 [0 0]     [0]
173.17/44.25	       [b](x0) = [0 0]x0 + [0],
173.17/44.25	       
173.17/44.25	                 [2 2]     [2]
173.17/44.25	       [a](x0) = [0 0]x0 + [0]
173.17/44.25	      orientation:
173.17/44.25	       c#(c(x1)) = [1 3]x1 + [1] >= [1 3]x1 + [1] = b#(c(x1))
173.17/44.25	       
173.17/44.25	       b#(a(x1)) = [3 3]x1 + [3] >= [1 0]x1 + [0] = b#(x1)
173.17/44.25	       
173.17/44.25	       b#(a(x1)) = [3 3]x1 + [3] >= [2 2]x1 + [2] = c#(a(b(x1)))
173.17/44.25	       
173.17/44.25	               [2 2]     [2]           
173.17/44.25	       a(x1) = [0 0]x1 + [0] >= x1 = x1
173.17/44.25	       
173.17/44.25	                  [2 2]     [2]    [2 2]     [2]              
173.17/44.25	       b(a(x1)) = [2 2]x1 + [2] >= [2 2]x1 + [2] = c(a(b(x1)))
173.17/44.25	       
173.17/44.25	               [0 0]     [0]           
173.17/44.25	       b(x1) = [0 0]x1 + [0] >= x1 = x1
173.17/44.25	       
173.17/44.25	                  [2 4]     [2]    [2 4]     [2]              
173.17/44.25	       c(c(x1)) = [2 4]x1 + [2] >= [0 2]x1 + [0] = a(b(c(x1)))
173.17/44.25	      problem:
173.17/44.25	       DPs:
173.17/44.25	        c#(c(x1)) -> b#(c(x1))
173.17/44.25	       TRS:
173.17/44.25	        a(x1) -> x1
173.17/44.25	        b(a(x1)) -> c(a(b(x1)))
173.17/44.25	        b(x1) -> x1
173.17/44.25	        c(c(x1)) -> a(b(c(x1)))
173.17/44.25	      Restore Modifier:
173.17/44.25	       DPs:
173.17/44.25	        c#(c(x1)) -> b#(c(x1))
173.17/44.25	       TRS:
173.17/44.25	        a(x1) -> x1
173.17/44.25	        b(a(x1)) -> c(a(b(x1)))
173.17/44.25	        b(x1) -> x1
173.17/44.25	        c(c(x1)) -> a(b(c(x1)))
173.17/44.25	       EDG Processor:
173.17/44.25	        DPs:
173.17/44.25	         c#(c(x1)) -> b#(c(x1))
173.17/44.25	        TRS:
173.17/44.25	         a(x1) -> x1
173.17/44.25	         b(a(x1)) -> c(a(b(x1)))
173.17/44.25	         b(x1) -> x1
173.17/44.25	         c(c(x1)) -> a(b(c(x1)))
173.17/44.25	        graph:
173.17/44.25	         
173.17/44.25	        SCC Processor:
173.17/44.25	         #sccs: 0
173.17/44.25	         #rules: 0
173.17/44.25	         #arcs: 0/1
173.17/44.25	         
173.17/44.25	EOF