MAYBE
197.98/60.05	MAYBE
197.98/60.05	
197.98/60.05	We are left with following problem, upon which TcT provides the
197.98/60.05	certificate MAYBE.
197.98/60.05	
197.98/60.05	Strict Trs:
197.98/60.05	  { a(a(x1)) -> a(b(b(c(x1))))
197.98/60.05	  , b(a(x1)) -> x1
197.98/60.05	  , c(b(x1)) -> a(c(x1)) }
197.98/60.05	Obligation:
197.98/60.05	  derivational complexity
197.98/60.05	Answer:
197.98/60.05	  MAYBE
197.98/60.05	
197.98/60.05	None of the processors succeeded.
197.98/60.05	
197.98/60.05	Details of failed attempt(s):
197.98/60.05	-----------------------------
197.98/60.05	1) 'Fastest (timeout of 60 seconds)' failed due to the following
197.98/60.05	   reason:
197.98/60.05	   
197.98/60.05	   Computation stopped due to timeout after 60.0 seconds.
197.98/60.05	
197.98/60.05	2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
197.98/60.05	   the following reason:
197.98/60.05	   
197.98/60.05	   The weightgap principle applies (using the following nonconstant
197.98/60.05	   growth matrix-interpretation)
197.98/60.05	   
197.98/60.05	   TcT has computed the following triangular matrix interpretation.
197.98/60.05	   Note that the diagonal of the component-wise maxima of
197.98/60.05	   interpretation-entries contains no more than 1 non-zero entries.
197.98/60.05	   
197.98/60.05	     [a](x1) = [1] x1 + [1]
197.98/60.05	                           
197.98/60.05	     [b](x1) = [1] x1 + [0]
197.98/60.05	                           
197.98/60.05	     [c](x1) = [1] x1 + [0]
197.98/60.05	   
197.98/60.05	   The order satisfies the following ordering constraints:
197.98/60.05	   
197.98/60.05	     [a(a(x1))] = [1] x1 + [2]    
197.98/60.05	                > [1] x1 + [1]    
197.98/60.05	                = [a(b(b(c(x1))))]
197.98/60.05	                                  
197.98/60.05	     [b(a(x1))] = [1] x1 + [1]    
197.98/60.05	                > [1] x1 + [0]    
197.98/60.05	                = [x1]            
197.98/60.05	                                  
197.98/60.05	     [c(b(x1))] = [1] x1 + [0]    
197.98/60.05	                ? [1] x1 + [1]    
197.98/60.05	                = [a(c(x1))]      
197.98/60.05	                                  
197.98/60.05	   
197.98/60.05	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
197.98/60.05	   
197.98/60.05	   We are left with following problem, upon which TcT provides the
197.98/60.05	   certificate MAYBE.
197.98/60.05	   
197.98/60.05	   Strict Trs: { c(b(x1)) -> a(c(x1)) }
197.98/60.05	   Weak Trs:
197.98/60.05	     { a(a(x1)) -> a(b(b(c(x1))))
197.98/60.05	     , b(a(x1)) -> x1 }
197.98/60.05	   Obligation:
197.98/60.05	     derivational complexity
197.98/60.05	   Answer:
197.98/60.05	     MAYBE
197.98/60.05	   
197.98/60.05	   None of the processors succeeded.
197.98/60.05	   
197.98/60.05	   Details of failed attempt(s):
197.98/60.05	   -----------------------------
197.98/60.05	   1) 'empty' failed due to the following reason:
197.98/60.05	      
197.98/60.05	      Empty strict component of the problem is NOT empty.
197.98/60.05	   
197.98/60.05	   2) 'Fastest' failed due to the following reason:
197.98/60.05	      
197.98/60.05	      None of the processors succeeded.
197.98/60.05	      
197.98/60.05	      Details of failed attempt(s):
197.98/60.05	      -----------------------------
197.98/60.05	      1) 'Fastest (timeout of 30 seconds)' failed due to the following
197.98/60.05	         reason:
197.98/60.05	         
197.98/60.05	         Computation stopped due to timeout after 30.0 seconds.
197.98/60.05	      
197.98/60.05	      2) 'Fastest' failed due to the following reason:
197.98/60.05	         
197.98/60.05	         None of the processors succeeded.
197.98/60.05	         
197.98/60.05	         Details of failed attempt(s):
197.98/60.05	         -----------------------------
197.98/60.05	         1) 'matrix interpretation of dimension 6' failed due to the
197.98/60.05	            following reason:
197.98/60.05	            
197.98/60.05	            The input cannot be shown compatible
197.98/60.05	         
197.98/60.05	         2) 'matrix interpretation of dimension 5' failed due to the
197.98/60.05	            following reason:
197.98/60.05	            
197.98/60.05	            The input cannot be shown compatible
197.98/60.05	         
197.98/60.05	         3) 'matrix interpretation of dimension 4' failed due to the
197.98/60.05	            following reason:
197.98/60.05	            
197.98/60.05	            The input cannot be shown compatible
197.98/60.05	         
197.98/60.05	         4) 'matrix interpretation of dimension 3' failed due to the
197.98/60.05	            following reason:
197.98/60.05	            
197.98/60.05	            The input cannot be shown compatible
197.98/60.05	         
197.98/60.05	         5) 'matrix interpretation of dimension 2' failed due to the
197.98/60.05	            following reason:
197.98/60.05	            
197.98/60.05	            The input cannot be shown compatible
197.98/60.05	         
197.98/60.05	         6) 'matrix interpretation of dimension 1' failed due to the
197.98/60.05	            following reason:
197.98/60.05	            
197.98/60.05	            The input cannot be shown compatible
197.98/60.05	         
197.98/60.05	      
197.98/60.05	      3) 'iteProgress' failed due to the following reason:
197.98/60.05	         
197.98/60.05	         Fail
197.98/60.05	      
197.98/60.05	      4) 'bsearch-matrix' failed due to the following reason:
197.98/60.05	         
197.98/60.05	         The input cannot be shown compatible
197.98/60.05	      
197.98/60.05	   
197.98/60.05	
197.98/60.05	3) 'iteProgress (timeout of 297 seconds)' failed due to the
197.98/60.05	   following reason:
197.98/60.05	   
197.98/60.05	   Fail
197.98/60.05	
197.98/60.05	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
197.98/60.05	   following reason:
197.98/60.05	   
197.98/60.05	   The input cannot be shown compatible
197.98/60.05	
197.98/60.05	
197.98/60.05	Arrrr..
197.98/60.05	EOF