MAYBE
295.77/132.45	MAYBE
295.77/132.45	
295.77/132.45	We are left with following problem, upon which TcT provides the
295.77/132.45	certificate MAYBE.
295.77/132.45	
295.77/132.45	Strict Trs:
295.77/132.45	  { b(b(x1)) -> a(b(a(x1)))
295.77/132.45	  , b(a(a(x1))) -> a(x1)
295.77/132.45	  , a(a(a(x1))) -> b(b(b(x1))) }
295.77/132.45	Obligation:
295.77/132.45	  derivational complexity
295.77/132.45	Answer:
295.77/132.45	  MAYBE
295.77/132.45	
295.77/132.45	None of the processors succeeded.
295.77/132.45	
295.77/132.45	Details of failed attempt(s):
295.77/132.45	-----------------------------
295.77/132.45	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
295.77/132.45	   the following reason:
295.77/132.45	   
295.77/132.45	   The weightgap principle applies (using the following nonconstant
295.77/132.45	   growth matrix-interpretation)
295.77/132.45	   
295.77/132.45	   TcT has computed the following triangular matrix interpretation.
295.77/132.45	   Note that the diagonal of the component-wise maxima of
295.77/132.45	   interpretation-entries contains no more than 1 non-zero entries.
295.77/132.45	   
295.77/132.45	     [b](x1) = [1] x1 + [0]
295.77/132.45	                           
295.77/132.45	     [a](x1) = [1] x1 + [2]
295.77/132.45	   
295.77/132.45	   The order satisfies the following ordering constraints:
295.77/132.45	   
295.77/132.45	        [b(b(x1))] = [1] x1 + [0] 
295.77/132.45	                   ? [1] x1 + [4] 
295.77/132.45	                   = [a(b(a(x1)))]
295.77/132.45	                                  
295.77/132.45	     [b(a(a(x1)))] = [1] x1 + [4] 
295.77/132.45	                   > [1] x1 + [2] 
295.77/132.45	                   = [a(x1)]      
295.77/132.45	                                  
295.77/132.45	     [a(a(a(x1)))] = [1] x1 + [6] 
295.77/132.45	                   > [1] x1 + [0] 
295.77/132.45	                   = [b(b(b(x1)))]
295.77/132.45	                                  
295.77/132.45	   
295.77/132.45	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
295.77/132.45	   
295.77/132.45	   We are left with following problem, upon which TcT provides the
295.77/132.45	   certificate MAYBE.
295.77/132.45	   
295.77/132.45	   Strict Trs: { b(b(x1)) -> a(b(a(x1))) }
295.77/132.45	   Weak Trs:
295.77/132.45	     { b(a(a(x1))) -> a(x1)
295.77/132.45	     , a(a(a(x1))) -> b(b(b(x1))) }
295.77/132.45	   Obligation:
295.77/132.45	     derivational complexity
295.77/132.45	   Answer:
295.77/132.45	     MAYBE
295.77/132.45	   
295.77/132.45	   None of the processors succeeded.
295.77/132.45	   
295.77/132.45	   Details of failed attempt(s):
295.77/132.45	   -----------------------------
295.77/132.45	   1) 'empty' failed due to the following reason:
295.77/132.45	      
295.77/132.45	      Empty strict component of the problem is NOT empty.
295.77/132.45	   
295.77/132.45	   2) 'Fastest' failed due to the following reason:
295.77/132.45	      
295.77/132.45	      None of the processors succeeded.
295.77/132.45	      
295.77/132.45	      Details of failed attempt(s):
295.77/132.45	      -----------------------------
295.77/132.45	      1) 'Fastest' failed due to the following reason:
295.77/132.45	         
295.77/132.45	         None of the processors succeeded.
295.77/132.45	         
295.77/132.45	         Details of failed attempt(s):
295.77/132.45	         -----------------------------
295.77/132.45	         1) 'matrix interpretation of dimension 6' failed due to the
295.77/132.45	            following reason:
295.77/132.45	            
295.77/132.45	            The input cannot be shown compatible
295.77/132.45	         
295.77/132.45	         2) 'matrix interpretation of dimension 5' failed due to the
295.77/132.45	            following reason:
295.77/132.45	            
295.77/132.45	            The input cannot be shown compatible
295.77/132.45	         
295.77/132.45	         3) 'matrix interpretation of dimension 4' failed due to the
295.77/132.45	            following reason:
295.77/132.45	            
295.77/132.45	            The input cannot be shown compatible
295.77/132.45	         
295.77/132.45	         4) 'matrix interpretation of dimension 3' failed due to the
295.77/132.45	            following reason:
295.77/132.45	            
295.77/132.45	            The input cannot be shown compatible
295.77/132.45	         
295.77/132.45	         5) 'matrix interpretation of dimension 2' failed due to the
295.77/132.45	            following reason:
295.77/132.45	            
295.77/132.45	            The input cannot be shown compatible
295.77/132.45	         
295.77/132.45	         6) 'matrix interpretation of dimension 1' failed due to the
295.77/132.45	            following reason:
295.77/132.45	            
295.77/132.45	            The input cannot be shown compatible
295.77/132.45	         
295.77/132.45	      
295.77/132.45	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
295.77/132.45	         reason:
295.77/132.45	         
295.77/132.45	         Computation stopped due to timeout after 30.0 seconds.
295.77/132.45	      
295.77/132.45	      3) 'iteProgress' failed due to the following reason:
295.77/132.45	         
295.77/132.45	         Fail
295.77/132.45	      
295.77/132.45	      4) 'bsearch-matrix' failed due to the following reason:
295.77/132.45	         
295.77/132.45	         The input cannot be shown compatible
295.77/132.45	      
295.77/132.45	   
295.77/132.45	
295.77/132.45	2) 'Fastest (timeout of 60 seconds)' failed due to the following
295.77/132.45	   reason:
295.77/132.45	   
295.77/132.45	   Computation stopped due to timeout after 60.0 seconds.
295.77/132.45	
295.77/132.45	3) 'iteProgress (timeout of 297 seconds)' failed due to the
295.77/132.45	   following reason:
295.77/132.45	   
295.77/132.45	   Fail
295.77/132.45	
295.77/132.45	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
295.77/132.45	   following reason:
295.77/132.45	   
295.77/132.45	   The input cannot be shown compatible
295.77/132.45	
295.77/132.45	
295.77/132.45	Arrrr..
295.77/132.47	EOF