YES(?,O(n^1))
0.16/0.46	YES(?,O(n^1))
0.16/0.46	
0.16/0.46	Problem:
0.16/0.46	 c(c(c(a(x1)))) -> d(d(x1))
0.16/0.46	 d(b(x1)) -> c(c(x1))
0.16/0.46	 c(x1) -> a(a(a(a(x1))))
0.16/0.46	 d(x1) -> b(b(b(b(x1))))
0.16/0.46	 b(d(x1)) -> c(c(x1))
0.16/0.46	 a(c(c(c(x1)))) -> d(d(x1))
0.16/0.46	
0.16/0.46	Proof:
0.16/0.46	 Complexity Transformation Processor:
0.16/0.46	  strict:
0.16/0.46	   c(c(c(a(x1)))) -> d(d(x1))
0.16/0.46	   d(b(x1)) -> c(c(x1))
0.16/0.46	   c(x1) -> a(a(a(a(x1))))
0.16/0.46	   d(x1) -> b(b(b(b(x1))))
0.16/0.46	   b(d(x1)) -> c(c(x1))
0.16/0.46	   a(c(c(c(x1)))) -> d(d(x1))
0.16/0.46	  weak:
0.16/0.46	   
0.16/0.46	  Matrix Interpretation Processor: dim=1
0.16/0.46	   
0.16/0.46	   max_matrix:
0.16/0.46	    1
0.16/0.46	   interpretation:
0.16/0.46	    [b](x0) = x0,
0.16/0.46	    
0.16/0.46	    [d](x0) = x0,
0.16/0.46	    
0.16/0.46	    [c](x0) = x0,
0.16/0.46	    
0.16/0.46	    [a](x0) = x0 + 1
0.16/0.46	   orientation:
0.16/0.46	    c(c(c(a(x1)))) = x1 + 1 >= x1 = d(d(x1))
0.16/0.46	    
0.16/0.46	    d(b(x1)) = x1 >= x1 = c(c(x1))
0.16/0.46	    
0.16/0.46	    c(x1) = x1 >= x1 + 4 = a(a(a(a(x1))))
0.16/0.46	    
0.16/0.46	    d(x1) = x1 >= x1 = b(b(b(b(x1))))
0.16/0.46	    
0.16/0.46	    b(d(x1)) = x1 >= x1 = c(c(x1))
0.16/0.46	    
0.16/0.46	    a(c(c(c(x1)))) = x1 + 1 >= x1 = d(d(x1))
0.16/0.46	   problem:
0.16/0.46	    strict:
0.16/0.46	     d(b(x1)) -> c(c(x1))
0.16/0.46	     c(x1) -> a(a(a(a(x1))))
0.16/0.46	     d(x1) -> b(b(b(b(x1))))
0.16/0.46	     b(d(x1)) -> c(c(x1))
0.16/0.46	    weak:
0.16/0.46	     c(c(c(a(x1)))) -> d(d(x1))
0.16/0.46	     a(c(c(c(x1)))) -> d(d(x1))
0.16/0.46	   Matrix Interpretation Processor: dim=1
0.16/0.46	    
0.16/0.46	    max_matrix:
0.16/0.46	     1
0.16/0.46	    interpretation:
0.16/0.46	     [b](x0) = x0 + 6,
0.16/0.46	     
0.16/0.46	     [d](x0) = x0 + 9,
0.16/0.46	     
0.16/0.46	     [c](x0) = x0 + 6,
0.16/0.46	     
0.16/0.46	     [a](x0) = x0
0.16/0.46	    orientation:
0.16/0.46	     d(b(x1)) = x1 + 15 >= x1 + 12 = c(c(x1))
0.16/0.46	     
0.16/0.46	     c(x1) = x1 + 6 >= x1 = a(a(a(a(x1))))
0.16/0.46	     
0.16/0.46	     d(x1) = x1 + 9 >= x1 + 24 = b(b(b(b(x1))))
0.16/0.46	     
0.16/0.46	     b(d(x1)) = x1 + 15 >= x1 + 12 = c(c(x1))
0.16/0.46	     
0.16/0.46	     c(c(c(a(x1)))) = x1 + 18 >= x1 + 18 = d(d(x1))
0.16/0.46	     
0.16/0.46	     a(c(c(c(x1)))) = x1 + 18 >= x1 + 18 = d(d(x1))
0.16/0.46	    problem:
0.16/0.46	     strict:
0.16/0.46	      d(x1) -> b(b(b(b(x1))))
0.16/0.46	     weak:
0.16/0.46	      d(b(x1)) -> c(c(x1))
0.16/0.46	      c(x1) -> a(a(a(a(x1))))
0.16/0.46	      b(d(x1)) -> c(c(x1))
0.16/0.46	      c(c(c(a(x1)))) -> d(d(x1))
0.16/0.46	      a(c(c(c(x1)))) -> d(d(x1))
0.16/0.46	    Matrix Interpretation Processor: dim=1
0.16/0.46	     
0.16/0.46	     max_matrix:
0.16/0.46	      1
0.16/0.46	     interpretation:
0.16/0.46	      [b](x0) = x0 + 3,
0.16/0.46	      
0.16/0.46	      [d](x0) = x0 + 13,
0.16/0.46	      
0.16/0.46	      [c](x0) = x0 + 8,
0.16/0.46	      
0.16/0.46	      [a](x0) = x0 + 2
0.16/0.46	     orientation:
0.16/0.46	      d(x1) = x1 + 13 >= x1 + 12 = b(b(b(b(x1))))
0.16/0.46	      
0.16/0.46	      d(b(x1)) = x1 + 16 >= x1 + 16 = c(c(x1))
0.16/0.46	      
0.16/0.46	      c(x1) = x1 + 8 >= x1 + 8 = a(a(a(a(x1))))
0.16/0.46	      
0.16/0.46	      b(d(x1)) = x1 + 16 >= x1 + 16 = c(c(x1))
0.16/0.46	      
0.16/0.46	      c(c(c(a(x1)))) = x1 + 26 >= x1 + 26 = d(d(x1))
0.16/0.46	      
0.16/0.46	      a(c(c(c(x1)))) = x1 + 26 >= x1 + 26 = d(d(x1))
0.16/0.46	     problem:
0.16/0.46	      strict:
0.16/0.46	       
0.16/0.46	      weak:
0.16/0.46	       d(x1) -> b(b(b(b(x1))))
0.16/0.46	       d(b(x1)) -> c(c(x1))
0.16/0.46	       c(x1) -> a(a(a(a(x1))))
0.16/0.46	       b(d(x1)) -> c(c(x1))
0.16/0.46	       c(c(c(a(x1)))) -> d(d(x1))
0.16/0.46	       a(c(c(c(x1)))) -> d(d(x1))
0.16/0.46	     Qed
0.16/0.46	EOF