167.86/42.76	YES
167.86/42.77	
167.86/42.77	Problem:
167.86/42.77	 a(x1) -> x1
167.86/42.77	 a(b(x1)) -> b(a(c(x1)))
167.86/42.77	 b(x1) -> x1
167.86/42.77	 c(c(x1)) -> b(a(x1))
167.86/42.77	
167.86/42.77	Proof:
167.86/42.77	 String Reversal Processor:
167.86/42.77	  a(x1) -> x1
167.86/42.77	  b(a(x1)) -> c(a(b(x1)))
167.86/42.77	  b(x1) -> x1
167.86/42.77	  c(c(x1)) -> a(b(x1))
167.86/42.77	  DP Processor:
167.86/42.77	   DPs:
167.86/42.77	    b#(a(x1)) -> b#(x1)
167.86/42.77	    b#(a(x1)) -> a#(b(x1))
167.86/42.77	    b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	    c#(c(x1)) -> b#(x1)
167.86/42.77	    c#(c(x1)) -> a#(b(x1))
167.86/42.77	   TRS:
167.86/42.77	    a(x1) -> x1
167.86/42.77	    b(a(x1)) -> c(a(b(x1)))
167.86/42.77	    b(x1) -> x1
167.86/42.77	    c(c(x1)) -> a(b(x1))
167.86/42.77	   TDG Processor:
167.86/42.77	    DPs:
167.86/42.77	     b#(a(x1)) -> b#(x1)
167.86/42.77	     b#(a(x1)) -> a#(b(x1))
167.86/42.77	     b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	     c#(c(x1)) -> b#(x1)
167.86/42.77	     c#(c(x1)) -> a#(b(x1))
167.86/42.77	    TRS:
167.86/42.77	     a(x1) -> x1
167.86/42.77	     b(a(x1)) -> c(a(b(x1)))
167.86/42.77	     b(x1) -> x1
167.86/42.77	     c(c(x1)) -> a(b(x1))
167.86/42.77	    graph:
167.86/42.77	     c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	     c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1))
167.86/42.77	     c#(c(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1)
167.86/42.77	     b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> a#(b(x1))
167.86/42.77	     b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> b#(x1)
167.86/42.77	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1))
167.86/42.77	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1)
167.86/42.77	    SCC Processor:
167.86/42.77	     #sccs: 1
167.86/42.77	     #rules: 3
167.86/42.77	     #arcs: 8/25
167.86/42.77	     DPs:
167.86/42.77	      c#(c(x1)) -> b#(x1)
167.86/42.77	      b#(a(x1)) -> b#(x1)
167.86/42.77	      b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	     TRS:
167.86/42.77	      a(x1) -> x1
167.86/42.77	      b(a(x1)) -> c(a(b(x1)))
167.86/42.77	      b(x1) -> x1
167.86/42.77	      c(c(x1)) -> a(b(x1))
167.86/42.77	     Arctic Interpretation Processor:
167.86/42.77	      dimension: 2
167.86/42.77	      usable rules:
167.86/42.77	       a(x1) -> x1
167.86/42.77	       b(a(x1)) -> c(a(b(x1)))
167.86/42.77	       b(x1) -> x1
167.86/42.77	       c(c(x1)) -> a(b(x1))
167.86/42.77	      interpretation:
167.86/42.77	       [c#](x0) = [0 3]x0 + [0],
167.86/42.77	       
167.86/42.77	       [b#](x0) = [3 0]x0 + [0],
167.86/42.77	       
167.86/42.77	                 [0 0]     [1]
167.86/42.77	       [c](x0) = [1 0]x0 + [0],
167.86/42.77	       
167.86/42.77	                 [0  -&]     [-&]
167.86/42.77	       [b](x0) = [1  0 ]x0 + [0 ],
167.86/42.77	       
167.86/42.77	                 [1 0]     [1]
167.86/42.77	       [a](x0) = [0 0]x0 + [1]
167.86/42.77	      orientation:
167.86/42.77	       c#(c(x1)) = [4 3]x1 + [3] >= [3 0]x1 + [0] = b#(x1)
167.86/42.77	       
167.86/42.77	       b#(a(x1)) = [4 3]x1 + [4] >= [3 0]x1 + [0] = b#(x1)
167.86/42.77	       
167.86/42.77	       b#(a(x1)) = [4 3]x1 + [4] >= [4 3]x1 + [4] = c#(a(b(x1)))
167.86/42.77	       
167.86/42.77	               [1 0]     [1]           
167.86/42.77	       a(x1) = [0 0]x1 + [1] >= x1 = x1
167.86/42.77	       
167.86/42.77	                  [1 0]     [1]    [1 0]     [1]              
167.86/42.77	       b(a(x1)) = [2 1]x1 + [2] >= [2 1]x1 + [2] = c(a(b(x1)))
167.86/42.77	       
167.86/42.77	               [0  -&]     [-&]           
167.86/42.77	       b(x1) = [1  0 ]x1 + [0 ] >= x1 = x1
167.86/42.77	       
167.86/42.77	                  [1 0]     [1]    [1 0]     [1]           
167.86/42.77	       c(c(x1)) = [1 1]x1 + [2] >= [1 0]x1 + [1] = a(b(x1))
167.86/42.77	      problem:
167.86/42.77	       DPs:
167.86/42.77	        b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	       TRS:
167.86/42.77	        a(x1) -> x1
167.86/42.77	        b(a(x1)) -> c(a(b(x1)))
167.86/42.77	        b(x1) -> x1
167.86/42.77	        c(c(x1)) -> a(b(x1))
167.86/42.77	      Restore Modifier:
167.86/42.77	       DPs:
167.86/42.77	        b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	       TRS:
167.86/42.77	        a(x1) -> x1
167.86/42.77	        b(a(x1)) -> c(a(b(x1)))
167.86/42.77	        b(x1) -> x1
167.86/42.77	        c(c(x1)) -> a(b(x1))
167.86/42.77	       EDG Processor:
167.86/42.77	        DPs:
167.86/42.77	         b#(a(x1)) -> c#(a(b(x1)))
167.86/42.77	        TRS:
167.86/42.77	         a(x1) -> x1
167.86/42.77	         b(a(x1)) -> c(a(b(x1)))
167.86/42.77	         b(x1) -> x1
167.86/42.77	         c(c(x1)) -> a(b(x1))
167.86/42.77	        graph:
167.86/42.77	         
167.86/42.77	        SCC Processor:
167.86/42.77	         #sccs: 0
167.86/42.77	         #rules: 0
167.86/42.77	         #arcs: 0/1
167.86/42.77	         
167.86/42.77	EOF