170.96/43.62	YES
170.96/43.63	
170.96/43.63	Problem:
170.96/43.63	 a(x1) -> x1
170.96/43.63	 a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	 b(x1) -> a(x1)
170.96/43.63	 c(c(x1)) -> x1
170.96/43.63	
170.96/43.63	Proof:
170.96/43.63	 DP Processor:
170.96/43.63	  DPs:
170.96/43.63	   a#(b(x1)) -> a#(x1)
170.96/43.63	   a#(b(x1)) -> b#(a(x1))
170.96/43.63	   a#(b(x1)) -> c#(b(a(x1)))
170.96/43.63	   a#(b(x1)) -> b#(c(b(a(x1))))
170.96/43.63	   a#(b(x1)) -> c#(b(c(b(a(x1)))))
170.96/43.63	   b#(x1) -> a#(x1)
170.96/43.63	  TRS:
170.96/43.63	   a(x1) -> x1
170.96/43.63	   a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	   b(x1) -> a(x1)
170.96/43.63	   c(c(x1)) -> x1
170.96/43.63	  TDG Processor:
170.96/43.63	   DPs:
170.96/43.63	    a#(b(x1)) -> a#(x1)
170.96/43.63	    a#(b(x1)) -> b#(a(x1))
170.96/43.63	    a#(b(x1)) -> c#(b(a(x1)))
170.96/43.63	    a#(b(x1)) -> b#(c(b(a(x1))))
170.96/43.63	    a#(b(x1)) -> c#(b(c(b(a(x1)))))
170.96/43.63	    b#(x1) -> a#(x1)
170.96/43.63	   TRS:
170.96/43.63	    a(x1) -> x1
170.96/43.63	    a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	    b(x1) -> a(x1)
170.96/43.63	    c(c(x1)) -> x1
170.96/43.63	   graph:
170.96/43.63	    b#(x1) -> a#(x1) -> a#(b(x1)) -> c#(b(c(b(a(x1)))))
170.96/43.63	    b#(x1) -> a#(x1) -> a#(b(x1)) -> b#(c(b(a(x1))))
170.96/43.63	    b#(x1) -> a#(x1) -> a#(b(x1)) -> c#(b(a(x1)))
170.96/43.63	    b#(x1) -> a#(x1) -> a#(b(x1)) -> b#(a(x1))
170.96/43.63	    b#(x1) -> a#(x1) -> a#(b(x1)) -> a#(x1)
170.96/43.63	    a#(b(x1)) -> b#(c(b(a(x1)))) -> b#(x1) -> a#(x1)
170.96/43.63	    a#(b(x1)) -> b#(a(x1)) -> b#(x1) -> a#(x1)
170.96/43.63	    a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(c(b(a(x1)))))
170.96/43.63	    a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(c(b(a(x1))))
170.96/43.63	    a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(a(x1)))
170.96/43.63	    a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(x1))
170.96/43.63	    a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1)
170.96/43.63	   SCC Processor:
170.96/43.63	    #sccs: 1
170.96/43.63	    #rules: 4
170.96/43.63	    #arcs: 12/36
170.96/43.63	    DPs:
170.96/43.63	     b#(x1) -> a#(x1)
170.96/43.63	     a#(b(x1)) -> a#(x1)
170.96/43.63	     a#(b(x1)) -> b#(a(x1))
170.96/43.63	     a#(b(x1)) -> b#(c(b(a(x1))))
170.96/43.63	    TRS:
170.96/43.63	     a(x1) -> x1
170.96/43.63	     a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	     b(x1) -> a(x1)
170.96/43.63	     c(c(x1)) -> x1
170.96/43.63	    Arctic Interpretation Processor:
170.96/43.63	     dimension: 2
170.96/43.63	     usable rules:
170.96/43.63	      a(x1) -> x1
170.96/43.63	      a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	      b(x1) -> a(x1)
170.96/43.63	      c(c(x1)) -> x1
170.96/43.63	     interpretation:
170.96/43.63	      [b#](x0) = [-& 0 ]x0 + [0],
170.96/43.63	      
170.96/43.63	      [a#](x0) = [-& 0 ]x0 + [0],
170.96/43.63	      
170.96/43.63	                [0  0 ]     [0]
170.96/43.63	      [c](x0) = [0  -&]x0 + [0],
170.96/43.63	      
170.96/43.63	                [0 1]     [0]
170.96/43.63	      [b](x0) = [1 2]x0 + [2],
170.96/43.63	      
170.96/43.63	                [0  1 ]     [0]
170.96/43.63	      [a](x0) = [-& 0 ]x0 + [0]
170.96/43.63	     orientation:
170.96/43.63	      b#(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = a#(x1)
170.96/43.63	      
170.96/43.63	      a#(b(x1)) = [1 2]x1 + [2] >= [-& 0 ]x1 + [0] = a#(x1)
170.96/43.63	      
170.96/43.63	      a#(b(x1)) = [1 2]x1 + [2] >= [-& 0 ]x1 + [0] = b#(a(x1))
170.96/43.63	      
170.96/43.63	      a#(b(x1)) = [1 2]x1 + [2] >= [0 1]x1 + [1] = b#(c(b(a(x1))))
170.96/43.63	      
170.96/43.63	              [0  1 ]     [0]           
170.96/43.63	      a(x1) = [-& 0 ]x1 + [0] >= x1 = x1
170.96/43.63	      
170.96/43.63	                 [2 3]     [3]    [2 3]     [3]                    
170.96/43.63	      a(b(x1)) = [1 2]x1 + [2] >= [1 2]x1 + [2] = c(b(c(b(a(x1)))))
170.96/43.63	      
170.96/43.63	              [0 1]     [0]    [0  1 ]     [0]        
170.96/43.63	      b(x1) = [1 2]x1 + [2] >= [-& 0 ]x1 + [0] = a(x1)
170.96/43.63	      
170.96/43.63	                 [0 0]     [0]           
170.96/43.63	      c(c(x1)) = [0 0]x1 + [0] >= x1 = x1
170.96/43.63	     problem:
170.96/43.63	      DPs:
170.96/43.63	       b#(x1) -> a#(x1)
170.96/43.63	      TRS:
170.96/43.63	       a(x1) -> x1
170.96/43.63	       a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	       b(x1) -> a(x1)
170.96/43.63	       c(c(x1)) -> x1
170.96/43.63	     Restore Modifier:
170.96/43.63	      DPs:
170.96/43.63	       b#(x1) -> a#(x1)
170.96/43.63	      TRS:
170.96/43.63	       a(x1) -> x1
170.96/43.63	       a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	       b(x1) -> a(x1)
170.96/43.63	       c(c(x1)) -> x1
170.96/43.63	      EDG Processor:
170.96/43.63	       DPs:
170.96/43.63	        b#(x1) -> a#(x1)
170.96/43.63	       TRS:
170.96/43.63	        a(x1) -> x1
170.96/43.63	        a(b(x1)) -> c(b(c(b(a(x1)))))
170.96/43.63	        b(x1) -> a(x1)
170.96/43.63	        c(c(x1)) -> x1
170.96/43.63	       graph:
170.96/43.63	        
170.96/43.63	       SCC Processor:
170.96/43.63	        #sccs: 0
170.96/43.63	        #rules: 0
170.96/43.63	        #arcs: 0/1
170.96/43.63	        
170.96/43.63	EOF