19.12/5.28	YES
19.12/5.29	
19.12/5.29	Problem:
19.12/5.29	 strict:
19.12/5.29	  c(a(b(x1))) -> c(a(c(x1)))
19.12/5.29	  a(a(a(x1))) -> c(a(a(x1)))
19.12/5.29	  a(b(a(x1))) -> c(a(c(x1)))
19.12/5.29	  a(b(b(x1))) -> a(c(b(x1)))
19.12/5.29	 weak:
19.12/5.29	  a(b(b(x1))) -> a(a(c(x1)))
19.12/5.29	  b(c(c(x1))) -> b(a(b(x1)))
19.12/5.29	
19.12/5.29	Proof:
19.12/5.29	 String Reversal Processor:
19.12/5.29	  strict:
19.12/5.29	   b(a(c(x1))) -> c(a(c(x1)))
19.12/5.29	   a(a(a(x1))) -> a(a(c(x1)))
19.12/5.29	   a(b(a(x1))) -> c(a(c(x1)))
19.12/5.29	   b(b(a(x1))) -> b(c(a(x1)))
19.12/5.29	  weak:
19.12/5.29	   b(b(a(x1))) -> c(a(a(x1)))
19.12/5.29	   c(c(b(x1))) -> b(a(b(x1)))
19.12/5.29	  Matrix Interpretation Processor: dim=2
19.12/5.29	   
19.12/5.29	   interpretation:
19.12/5.29	                
19.12/5.29	    [c](x0) = x0,
19.12/5.29	    
19.12/5.29	              [1 0]  
19.12/5.29	    [a](x0) = [0 0]x0,
19.12/5.29	    
19.12/5.29	              [1 1]     [0]
19.12/5.29	    [b](x0) = [0 0]x0 + [2]
19.12/5.29	   orientation:
19.12/5.29	                  [1 0]     [0]    [1 0]                
19.12/5.29	    b(a(c(x1))) = [0 0]x1 + [2] >= [0 0]x1 = c(a(c(x1)))
19.12/5.29	    
19.12/5.29	                  [1 0]      [1 0]                
19.12/5.29	    a(a(a(x1))) = [0 0]x1 >= [0 0]x1 = a(a(c(x1)))
19.12/5.29	    
19.12/5.29	                  [1 0]      [1 0]                
19.12/5.29	    a(b(a(x1))) = [0 0]x1 >= [0 0]x1 = c(a(c(x1)))
19.12/5.29	    
19.12/5.29	                  [1 0]     [2]    [1 0]     [0]              
19.12/5.29	    b(b(a(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = b(c(a(x1)))
19.12/5.29	    
19.12/5.29	                  [1 0]     [2]    [1 0]                
19.12/5.29	    b(b(a(x1))) = [0 0]x1 + [2] >= [0 0]x1 = c(a(a(x1)))
19.12/5.29	    
19.12/5.29	                  [1 1]     [0]    [1 1]     [0]              
19.12/5.29	    c(c(b(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = b(a(b(x1)))
19.12/5.29	   problem:
19.12/5.29	    strict:
19.12/5.29	     b(a(c(x1))) -> c(a(c(x1)))
19.12/5.29	     a(a(a(x1))) -> a(a(c(x1)))
19.12/5.29	     a(b(a(x1))) -> c(a(c(x1)))
19.12/5.29	    weak:
19.12/5.29	     c(c(b(x1))) -> b(a(b(x1)))
19.12/5.29	   Bounds Processor:
19.12/5.29	    bound: 2
19.12/5.29	    enrichment: match-rt
19.12/5.29	    automaton:
19.12/5.29	     final states: {4}
19.12/5.29	     transitions:
19.12/5.29	      c1(82) -> 83*
19.12/5.29	      c1(84) -> 85*
19.12/5.29	      c1(9) -> 10*
19.12/5.29	      c1(11) -> 12*
19.12/5.29	      a1(10) -> 11*
19.12/5.29	      a1(37) -> 38*
19.12/5.29	      a1(44) -> 45*
19.12/5.29	      a1(83) -> 84*
19.12/5.29	      b1(45) -> 46*
19.12/5.29	      b1(43) -> 44*
19.12/5.29	      c2(70) -> 71*
19.12/5.29	      c2(68) -> 69*
19.12/5.29	      b0(4) -> 4*
19.12/5.29	      a2(69) -> 70*
19.12/5.29	      a0(4) -> 4*
19.12/5.29	      c0(4) -> 4*
19.12/5.29	      4 -> 43,9
19.12/5.29	      11 -> 68*
19.12/5.29	      12 -> 45,44,37,4
19.12/5.29	      38 -> 11*
19.12/5.29	      44 -> 82*
19.12/5.29	      46 -> 10*
19.12/5.29	      71 -> 46*
19.12/5.29	      85 -> 11*
19.12/5.29	    problem:
19.12/5.29	     strict:
19.12/5.29	      a(a(a(x1))) -> a(a(c(x1)))
19.12/5.29	      a(b(a(x1))) -> c(a(c(x1)))
19.12/5.29	     weak:
19.12/5.29	      c(c(b(x1))) -> b(a(b(x1)))
19.12/5.29	    Arctic Interpretation Processor:
19.12/5.29	     dimension: 1
19.12/5.29	     interpretation:
19.12/5.29	      [c](x0) = 7x0,
19.12/5.29	      
19.12/5.29	      [a](x0) = 8x0,
19.12/5.29	      
19.12/5.29	      [b](x0) = 6x0
19.12/5.29	     orientation:
19.12/5.29	      a(a(a(x1))) = 24x1 >= 23x1 = a(a(c(x1)))
19.12/5.29	      
19.12/5.29	      a(b(a(x1))) = 22x1 >= 22x1 = c(a(c(x1)))
19.12/5.29	      
19.12/5.29	      c(c(b(x1))) = 20x1 >= 20x1 = b(a(b(x1)))
19.12/5.29	     problem:
19.12/5.29	      strict:
19.12/5.29	       a(b(a(x1))) -> c(a(c(x1)))
19.12/5.29	      weak:
19.12/5.29	       c(c(b(x1))) -> b(a(b(x1)))
19.12/5.29	     Bounds Processor:
19.12/5.29	      bound: 2
19.12/5.29	      enrichment: match-rt
19.12/5.29	      automaton:
19.12/5.29	       final states: {4}
19.12/5.29	       transitions:
19.12/5.29	        c1(9) -> 10*
19.12/5.29	        c1(11) -> 12*
19.12/5.29	        a1(10) -> 11*
19.12/5.29	        a1(14) -> 15*
19.12/5.29	        b1(15) -> 16*
19.12/5.29	        b1(13) -> 14*
19.12/5.29	        c2(21) -> 22*
19.12/5.29	        c2(23) -> 24*
19.12/5.29	        b0(4) -> 4*
19.12/5.29	        a2(22) -> 23*
19.12/5.29	        a0(4) -> 4*
19.12/5.29	        c0(4) -> 4*
19.12/5.29	        4 -> 13,9
19.12/5.29	        12 -> 15,4
19.12/5.29	        14 -> 21*
19.12/5.29	        16 -> 10*
19.12/5.29	        24 -> 11*
19.12/5.29	      problem:
19.12/5.29	       strict:
19.12/5.29	        
19.12/5.29	       weak:
19.12/5.29	        c(c(b(x1))) -> b(a(b(x1)))
19.12/5.29	      Qed
19.12/5.29	EOF