MAYBE
197.26/75.26	MAYBE
197.26/75.26	
197.26/75.26	We are left with following problem, upon which TcT provides the
197.26/75.26	certificate MAYBE.
197.26/75.26	
197.26/75.26	Strict Trs:
197.26/75.26	  { a(x1) -> b(c(x1))
197.26/75.26	  , b(a(b(x1))) -> c(x1)
197.26/75.26	  , c(c(x1)) -> a(a(b(x1))) }
197.26/75.26	Obligation:
197.26/75.26	  derivational complexity
197.26/75.26	Answer:
197.26/75.26	  MAYBE
197.26/75.26	
197.26/75.26	None of the processors succeeded.
197.26/75.26	
197.26/75.26	Details of failed attempt(s):
197.26/75.26	-----------------------------
197.26/75.26	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
197.26/75.26	   the following reason:
197.26/75.26	   
197.26/75.26	   The weightgap principle applies (using the following nonconstant
197.26/75.26	   growth matrix-interpretation)
197.26/75.26	   
197.26/75.26	   TcT has computed the following triangular matrix interpretation.
197.26/75.26	   Note that the diagonal of the component-wise maxima of
197.26/75.26	   interpretation-entries contains no more than 1 non-zero entries.
197.26/75.26	   
197.26/75.26	     [a](x1) = [1] x1 + [1]
197.26/75.26	                           
197.26/75.26	     [b](x1) = [1] x1 + [0]
197.26/75.26	                           
197.26/75.26	     [c](x1) = [1] x1 + [0]
197.26/75.26	   
197.26/75.26	   The order satisfies the following ordering constraints:
197.26/75.26	   
197.26/75.26	           [a(x1)] = [1] x1 + [1] 
197.26/75.26	                   > [1] x1 + [0] 
197.26/75.26	                   = [b(c(x1))]   
197.26/75.26	                                  
197.26/75.26	     [b(a(b(x1)))] = [1] x1 + [1] 
197.26/75.26	                   > [1] x1 + [0] 
197.26/75.26	                   = [c(x1)]      
197.26/75.26	                                  
197.26/75.26	        [c(c(x1))] = [1] x1 + [0] 
197.26/75.26	                   ? [1] x1 + [2] 
197.26/75.26	                   = [a(a(b(x1)))]
197.26/75.26	                                  
197.26/75.26	   
197.26/75.26	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
197.26/75.26	   
197.26/75.26	   We are left with following problem, upon which TcT provides the
197.26/75.26	   certificate MAYBE.
197.26/75.26	   
197.26/75.26	   Strict Trs: { c(c(x1)) -> a(a(b(x1))) }
197.26/75.26	   Weak Trs:
197.26/75.26	     { a(x1) -> b(c(x1))
197.26/75.26	     , b(a(b(x1))) -> c(x1) }
197.26/75.26	   Obligation:
197.26/75.26	     derivational complexity
197.26/75.26	   Answer:
197.26/75.26	     MAYBE
197.26/75.26	   
197.26/75.26	   None of the processors succeeded.
197.26/75.26	   
197.26/75.26	   Details of failed attempt(s):
197.26/75.26	   -----------------------------
197.26/75.26	   1) 'empty' failed due to the following reason:
197.26/75.26	      
197.26/75.26	      Empty strict component of the problem is NOT empty.
197.26/75.26	   
197.26/75.26	   2) 'Fastest' failed due to the following reason:
197.26/75.26	      
197.26/75.26	      None of the processors succeeded.
197.26/75.26	      
197.26/75.26	      Details of failed attempt(s):
197.26/75.26	      -----------------------------
197.26/75.26	      1) 'Fastest' failed due to the following reason:
197.26/75.26	         
197.26/75.26	         None of the processors succeeded.
197.26/75.26	         
197.26/75.26	         Details of failed attempt(s):
197.26/75.26	         -----------------------------
197.26/75.26	         1) 'matrix interpretation of dimension 6' failed due to the
197.26/75.26	            following reason:
197.26/75.26	            
197.26/75.26	            The input cannot be shown compatible
197.26/75.26	         
197.26/75.26	         2) 'matrix interpretation of dimension 5' failed due to the
197.26/75.26	            following reason:
197.26/75.26	            
197.26/75.26	            The input cannot be shown compatible
197.26/75.26	         
197.26/75.26	         3) 'matrix interpretation of dimension 4' failed due to the
197.26/75.26	            following reason:
197.26/75.26	            
197.26/75.26	            The input cannot be shown compatible
197.26/75.26	         
197.26/75.26	         4) 'matrix interpretation of dimension 3' failed due to the
197.26/75.26	            following reason:
197.26/75.26	            
197.26/75.26	            The input cannot be shown compatible
197.26/75.26	         
197.26/75.26	         5) 'matrix interpretation of dimension 2' failed due to the
197.26/75.26	            following reason:
197.26/75.26	            
197.26/75.26	            The input cannot be shown compatible
197.26/75.26	         
197.26/75.26	         6) 'matrix interpretation of dimension 1' failed due to the
197.26/75.26	            following reason:
197.26/75.26	            
197.26/75.26	            The input cannot be shown compatible
197.26/75.26	         
197.26/75.26	      
197.26/75.26	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
197.26/75.26	         reason:
197.26/75.26	         
197.26/75.26	         Computation stopped due to timeout after 30.0 seconds.
197.26/75.26	      
197.26/75.26	      3) 'iteProgress' failed due to the following reason:
197.26/75.26	         
197.26/75.26	         Fail
197.26/75.26	      
197.26/75.26	      4) 'bsearch-matrix' failed due to the following reason:
197.26/75.26	         
197.26/75.26	         The input cannot be shown compatible
197.26/75.26	      
197.26/75.26	   
197.26/75.26	
197.26/75.26	2) 'Fastest (timeout of 60 seconds)' failed due to the following
197.26/75.26	   reason:
197.26/75.26	   
197.26/75.26	   None of the processors succeeded.
197.26/75.26	   
197.26/75.26	
197.26/75.26	3) 'iteProgress (timeout of 297 seconds)' failed due to the
197.26/75.26	   following reason:
197.26/75.26	   
197.26/75.26	   Fail
197.26/75.26	
197.26/75.26	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
197.26/75.26	   following reason:
197.26/75.26	   
197.26/75.26	   The input cannot be shown compatible
197.26/75.26	
197.26/75.26	
197.26/75.26	Arrrr..
197.26/75.28	EOF