MAYBE
265.06/103.24	MAYBE
265.06/103.24	
265.06/103.24	We are left with following problem, upon which TcT provides the
265.06/103.24	certificate MAYBE.
265.06/103.24	
265.06/103.24	Strict Trs:
265.06/103.24	  { a(x1) -> b(c(x1))
265.06/103.24	  , a(c(b(x1))) -> b(a(a(c(x1))))
265.06/103.24	  , b(b(x1)) -> x1 }
265.06/103.24	Obligation:
265.06/103.24	  derivational complexity
265.06/103.24	Answer:
265.06/103.24	  MAYBE
265.06/103.24	
265.06/103.24	None of the processors succeeded.
265.06/103.24	
265.06/103.24	Details of failed attempt(s):
265.06/103.24	-----------------------------
265.06/103.24	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
265.06/103.24	   the following reason:
265.06/103.24	   
265.06/103.24	   The weightgap principle applies (using the following nonconstant
265.06/103.24	   growth matrix-interpretation)
265.06/103.24	   
265.06/103.24	   TcT has computed the following triangular matrix interpretation.
265.06/103.24	   Note that the diagonal of the component-wise maxima of
265.06/103.24	   interpretation-entries contains no more than 1 non-zero entries.
265.06/103.24	   
265.06/103.24	     [a](x1) = [1] x1 + [0]
265.06/103.24	                           
265.06/103.24	     [b](x1) = [1] x1 + [1]
265.06/103.24	                           
265.06/103.24	     [c](x1) = [1] x1 + [0]
265.06/103.24	   
265.06/103.24	   The order satisfies the following ordering constraints:
265.06/103.24	   
265.06/103.24	           [a(x1)] =  [1] x1 + [0]    
265.06/103.24	                   ?  [1] x1 + [1]    
265.06/103.24	                   =  [b(c(x1))]      
265.06/103.25	                                      
265.06/103.25	     [a(c(b(x1)))] =  [1] x1 + [1]    
265.06/103.25	                   >= [1] x1 + [1]    
265.06/103.25	                   =  [b(a(a(c(x1))))]
265.06/103.25	                                      
265.06/103.25	        [b(b(x1))] =  [1] x1 + [2]    
265.06/103.25	                   >  [1] x1 + [0]    
265.06/103.25	                   =  [x1]            
265.06/103.25	                                      
265.06/103.25	   
265.06/103.25	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
265.06/103.25	   
265.06/103.25	   We are left with following problem, upon which TcT provides the
265.06/103.25	   certificate MAYBE.
265.06/103.25	   
265.06/103.25	   Strict Trs:
265.06/103.25	     { a(x1) -> b(c(x1))
265.06/103.25	     , a(c(b(x1))) -> b(a(a(c(x1)))) }
265.06/103.25	   Weak Trs: { b(b(x1)) -> x1 }
265.06/103.25	   Obligation:
265.06/103.25	     derivational complexity
265.06/103.25	   Answer:
265.06/103.25	     MAYBE
265.06/103.25	   
265.06/103.25	   The weightgap principle applies (using the following nonconstant
265.06/103.25	   growth matrix-interpretation)
265.06/103.25	   
265.06/103.25	   TcT has computed the following triangular matrix interpretation.
265.06/103.25	   Note that the diagonal of the component-wise maxima of
265.06/103.25	   interpretation-entries contains no more than 1 non-zero entries.
265.06/103.25	   
265.06/103.25	     [a](x1) = [1] x1 + [1]
265.06/103.25	                           
265.06/103.25	     [b](x1) = [1] x1 + [0]
265.06/103.25	                           
265.06/103.25	     [c](x1) = [1] x1 + [0]
265.06/103.25	   
265.06/103.25	   The order satisfies the following ordering constraints:
265.06/103.25	   
265.06/103.25	           [a(x1)] =  [1] x1 + [1]    
265.06/103.25	                   >  [1] x1 + [0]    
265.06/103.25	                   =  [b(c(x1))]      
265.06/103.25	                                      
265.06/103.25	     [a(c(b(x1)))] =  [1] x1 + [1]    
265.06/103.25	                   ?  [1] x1 + [2]    
265.06/103.25	                   =  [b(a(a(c(x1))))]
265.06/103.25	                                      
265.06/103.25	        [b(b(x1))] =  [1] x1 + [0]    
265.06/103.25	                   >= [1] x1 + [0]    
265.06/103.25	                   =  [x1]            
265.06/103.25	                                      
265.06/103.25	   
265.06/103.25	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
265.06/103.25	   
265.06/103.25	   We are left with following problem, upon which TcT provides the
265.06/103.25	   certificate MAYBE.
265.06/103.25	   
265.06/103.25	   Strict Trs: { a(c(b(x1))) -> b(a(a(c(x1)))) }
265.06/103.25	   Weak Trs:
265.06/103.25	     { a(x1) -> b(c(x1))
265.06/103.25	     , b(b(x1)) -> x1 }
265.06/103.25	   Obligation:
265.06/103.25	     derivational complexity
265.06/103.25	   Answer:
265.06/103.25	     MAYBE
265.06/103.25	   
265.06/103.25	   None of the processors succeeded.
265.06/103.25	   
265.06/103.25	   Details of failed attempt(s):
265.06/103.25	   -----------------------------
265.06/103.25	   1) 'empty' failed due to the following reason:
265.06/103.25	      
265.06/103.25	      Empty strict component of the problem is NOT empty.
265.06/103.25	   
265.06/103.25	   2) 'Fastest' failed due to the following reason:
265.06/103.25	      
265.06/103.25	      None of the processors succeeded.
265.06/103.25	      
265.06/103.25	      Details of failed attempt(s):
265.06/103.25	      -----------------------------
265.06/103.25	      1) 'Fastest' failed due to the following reason:
265.06/103.25	         
265.06/103.25	         None of the processors succeeded.
265.06/103.25	         
265.06/103.25	         Details of failed attempt(s):
265.06/103.25	         -----------------------------
265.06/103.25	         1) 'matrix interpretation of dimension 6' failed due to the
265.06/103.25	            following reason:
265.06/103.25	            
265.06/103.25	            The input cannot be shown compatible
265.06/103.25	         
265.06/103.25	         2) 'matrix interpretation of dimension 5' failed due to the
265.06/103.25	            following reason:
265.06/103.25	            
265.06/103.25	            The input cannot be shown compatible
265.06/103.25	         
265.06/103.25	         3) 'matrix interpretation of dimension 4' failed due to the
265.06/103.25	            following reason:
265.06/103.25	            
265.06/103.25	            The input cannot be shown compatible
265.06/103.25	         
265.06/103.25	         4) 'matrix interpretation of dimension 3' failed due to the
265.06/103.25	            following reason:
265.06/103.25	            
265.06/103.25	            The input cannot be shown compatible
265.06/103.25	         
265.06/103.25	         5) 'matrix interpretation of dimension 2' failed due to the
265.06/103.25	            following reason:
265.06/103.25	            
265.06/103.25	            The input cannot be shown compatible
265.06/103.25	         
265.06/103.25	         6) 'matrix interpretation of dimension 1' failed due to the
265.06/103.25	            following reason:
265.06/103.25	            
265.06/103.25	            The input cannot be shown compatible
265.06/103.25	         
265.06/103.25	      
265.06/103.25	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
265.06/103.25	         reason:
265.06/103.25	         
265.06/103.25	         Computation stopped due to timeout after 30.0 seconds.
265.06/103.25	      
265.06/103.25	      3) 'iteProgress' failed due to the following reason:
265.06/103.25	         
265.06/103.25	         Fail
265.06/103.25	      
265.06/103.25	      4) 'bsearch-matrix' failed due to the following reason:
265.06/103.25	         
265.06/103.25	         The input cannot be shown compatible
265.06/103.25	      
265.06/103.25	   
265.06/103.25	
265.06/103.25	2) 'Fastest (timeout of 60 seconds)' failed due to the following
265.06/103.25	   reason:
265.06/103.25	   
265.06/103.25	   Computation stopped due to timeout after 60.0 seconds.
265.06/103.25	
265.06/103.25	3) 'iteProgress (timeout of 297 seconds)' failed due to the
265.06/103.25	   following reason:
265.06/103.25	   
265.06/103.25	   Fail
265.06/103.25	
265.06/103.25	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
265.06/103.25	   following reason:
265.06/103.25	   
265.06/103.25	   The input cannot be shown compatible
265.06/103.25	
265.06/103.25	
265.06/103.25	Arrrr..
265.06/103.27	EOF