MAYBE
229.02/66.68	MAYBE
229.02/66.68	
229.02/66.68	We are left with following problem, upon which TcT provides the
229.02/66.68	certificate MAYBE.
229.02/66.68	
229.02/66.68	Strict Trs:
229.02/66.68	  { b(b(b(x1))) -> a(x1)
229.02/66.68	  , a(a(x1)) -> a(b(a(x1)))
229.02/66.68	  , a(a(a(x1))) -> b(a(a(x1))) }
229.02/66.68	Obligation:
229.02/66.68	  derivational complexity
229.02/66.68	Answer:
229.02/66.68	  MAYBE
229.02/66.68	
229.02/66.68	None of the processors succeeded.
229.02/66.68	
229.02/66.68	Details of failed attempt(s):
229.02/66.68	-----------------------------
229.02/66.68	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
229.02/66.68	   the following reason:
229.02/66.68	   
229.02/66.68	   The weightgap principle applies (using the following nonconstant
229.02/66.68	   growth matrix-interpretation)
229.02/66.68	   
229.02/66.68	   TcT has computed the following triangular matrix interpretation.
229.02/66.68	   Note that the diagonal of the component-wise maxima of
229.02/66.68	   interpretation-entries contains no more than 1 non-zero entries.
229.02/66.68	   
229.02/66.68	     [b](x1) = [1] x1 + [0]
229.02/66.68	                           
229.02/66.68	     [a](x1) = [1] x1 + [1]
229.02/66.68	   
229.02/66.68	   The order satisfies the following ordering constraints:
229.02/66.68	   
229.02/66.68	     [b(b(b(x1)))] =  [1] x1 + [0] 
229.02/66.68	                   ?  [1] x1 + [1] 
229.02/66.68	                   =  [a(x1)]      
229.02/66.68	                                   
229.02/66.68	        [a(a(x1))] =  [1] x1 + [2] 
229.02/66.68	                   >= [1] x1 + [2] 
229.02/66.68	                   =  [a(b(a(x1)))]
229.02/66.68	                                   
229.02/66.68	     [a(a(a(x1)))] =  [1] x1 + [3] 
229.02/66.68	                   >  [1] x1 + [2] 
229.02/66.68	                   =  [b(a(a(x1)))]
229.02/66.68	                                   
229.02/66.68	   
229.02/66.68	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
229.02/66.68	   
229.02/66.68	   We are left with following problem, upon which TcT provides the
229.02/66.68	   certificate MAYBE.
229.02/66.68	   
229.02/66.68	   Strict Trs:
229.02/66.68	     { b(b(b(x1))) -> a(x1)
229.02/66.68	     , a(a(x1)) -> a(b(a(x1))) }
229.02/66.68	   Weak Trs: { a(a(a(x1))) -> b(a(a(x1))) }
229.02/66.68	   Obligation:
229.02/66.68	     derivational complexity
229.02/66.68	   Answer:
229.02/66.68	     MAYBE
229.02/66.68	   
229.02/66.68	   The weightgap principle applies (using the following nonconstant
229.02/66.68	   growth matrix-interpretation)
229.02/66.68	   
229.02/66.68	   TcT has computed the following triangular matrix interpretation.
229.02/66.68	   Note that the diagonal of the component-wise maxima of
229.02/66.68	   interpretation-entries contains no more than 1 non-zero entries.
229.02/66.68	   
229.02/66.68	     [b](x1) = [1] x1 + [2]
229.02/66.68	                           
229.02/66.68	     [a](x1) = [1] x1 + [2]
229.02/66.68	   
229.02/66.68	   The order satisfies the following ordering constraints:
229.02/66.68	   
229.02/66.68	     [b(b(b(x1)))] =  [1] x1 + [6] 
229.02/66.68	                   >  [1] x1 + [2] 
229.02/66.68	                   =  [a(x1)]      
229.02/66.68	                                   
229.02/66.68	        [a(a(x1))] =  [1] x1 + [4] 
229.02/66.68	                   ?  [1] x1 + [6] 
229.02/66.68	                   =  [a(b(a(x1)))]
229.02/66.68	                                   
229.02/66.68	     [a(a(a(x1)))] =  [1] x1 + [6] 
229.02/66.68	                   >= [1] x1 + [6] 
229.02/66.68	                   =  [b(a(a(x1)))]
229.02/66.68	                                   
229.02/66.68	   
229.02/66.68	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
229.02/66.68	   
229.02/66.68	   We are left with following problem, upon which TcT provides the
229.02/66.68	   certificate MAYBE.
229.02/66.68	   
229.02/66.68	   Strict Trs: { a(a(x1)) -> a(b(a(x1))) }
229.02/66.68	   Weak Trs:
229.02/66.68	     { b(b(b(x1))) -> a(x1)
229.02/66.68	     , a(a(a(x1))) -> b(a(a(x1))) }
229.02/66.68	   Obligation:
229.02/66.68	     derivational complexity
229.02/66.68	   Answer:
229.02/66.68	     MAYBE
229.02/66.68	   
229.02/66.68	   None of the processors succeeded.
229.02/66.68	   
229.02/66.68	   Details of failed attempt(s):
229.02/66.68	   -----------------------------
229.02/66.68	   1) 'empty' failed due to the following reason:
229.02/66.68	      
229.02/66.68	      Empty strict component of the problem is NOT empty.
229.02/66.68	   
229.02/66.68	   2) 'Fastest' failed due to the following reason:
229.02/66.68	      
229.02/66.68	      None of the processors succeeded.
229.02/66.68	      
229.02/66.68	      Details of failed attempt(s):
229.02/66.68	      -----------------------------
229.02/66.68	      1) 'Fastest' failed due to the following reason:
229.02/66.68	         
229.02/66.68	         None of the processors succeeded.
229.02/66.68	         
229.02/66.68	         Details of failed attempt(s):
229.02/66.68	         -----------------------------
229.02/66.68	         1) 'matrix interpretation of dimension 6' failed due to the
229.02/66.68	            following reason:
229.02/66.68	            
229.02/66.68	            The input cannot be shown compatible
229.02/66.68	         
229.02/66.68	         2) 'matrix interpretation of dimension 5' failed due to the
229.02/66.68	            following reason:
229.02/66.68	            
229.02/66.68	            The input cannot be shown compatible
229.02/66.68	         
229.02/66.68	         3) 'matrix interpretation of dimension 4' failed due to the
229.02/66.68	            following reason:
229.02/66.68	            
229.02/66.68	            The input cannot be shown compatible
229.02/66.68	         
229.02/66.68	         4) 'matrix interpretation of dimension 3' failed due to the
229.02/66.68	            following reason:
229.02/66.68	            
229.02/66.68	            The input cannot be shown compatible
229.02/66.68	         
229.02/66.68	         5) 'matrix interpretation of dimension 2' failed due to the
229.02/66.68	            following reason:
229.02/66.68	            
229.02/66.68	            The input cannot be shown compatible
229.02/66.68	         
229.02/66.68	         6) 'matrix interpretation of dimension 1' failed due to the
229.02/66.68	            following reason:
229.02/66.68	            
229.02/66.68	            The input cannot be shown compatible
229.02/66.68	         
229.02/66.68	      
229.02/66.68	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
229.02/66.68	         reason:
229.02/66.68	         
229.02/66.68	         Computation stopped due to timeout after 30.0 seconds.
229.02/66.68	      
229.02/66.68	      3) 'iteProgress' failed due to the following reason:
229.02/66.68	         
229.02/66.68	         Fail
229.02/66.68	      
229.02/66.68	      4) 'bsearch-matrix' failed due to the following reason:
229.02/66.68	         
229.02/66.68	         The input cannot be shown compatible
229.02/66.68	      
229.02/66.68	   
229.02/66.68	
229.02/66.68	2) 'Fastest (timeout of 60 seconds)' failed due to the following
229.02/66.68	   reason:
229.02/66.68	   
229.02/66.68	   Computation stopped due to timeout after 60.0 seconds.
229.02/66.68	
229.02/66.68	3) 'iteProgress (timeout of 297 seconds)' failed due to the
229.02/66.68	   following reason:
229.02/66.68	   
229.02/66.68	   Fail
229.02/66.68	
229.02/66.68	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
229.02/66.68	   following reason:
229.02/66.68	   
229.02/66.68	   The input cannot be shown compatible
229.02/66.68	
229.02/66.68	
229.02/66.68	Arrrr..
229.14/66.70	EOF