MAYBE
390.08/222.30	MAYBE
390.08/222.30	
390.08/222.30	We are left with following problem, upon which TcT provides the
390.08/222.30	certificate MAYBE.
390.08/222.30	
390.08/222.30	Strict Trs:
390.08/222.30	  { a(x1) -> b(x1)
390.08/222.30	  , a(c(x1)) -> b(c(c(a(x1))))
390.08/222.30	  , c(b(b(x1))) -> a(x1) }
390.08/222.30	Obligation:
390.08/222.30	  derivational complexity
390.08/222.30	Answer:
390.08/222.30	  MAYBE
390.08/222.30	
390.08/222.30	None of the processors succeeded.
390.08/222.30	
390.08/222.30	Details of failed attempt(s):
390.08/222.30	-----------------------------
390.08/222.30	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
390.08/222.30	   the following reason:
390.08/222.30	   
390.08/222.30	   The weightgap principle applies (using the following nonconstant
390.08/222.30	   growth matrix-interpretation)
390.08/222.30	   
390.08/222.30	   TcT has computed the following triangular matrix interpretation.
390.08/222.30	   Note that the diagonal of the component-wise maxima of
390.08/222.30	   interpretation-entries contains no more than 1 non-zero entries.
390.08/222.30	   
390.08/222.30	     [a](x1) = [1] x1 + [1]
390.08/222.30	                           
390.08/222.30	     [b](x1) = [1] x1 + [0]
390.08/222.30	                           
390.08/222.30	     [c](x1) = [1] x1 + [0]
390.08/222.30	   
390.08/222.30	   The order satisfies the following ordering constraints:
390.08/222.30	   
390.08/222.30	           [a(x1)] =  [1] x1 + [1]    
390.08/222.30	                   >  [1] x1 + [0]    
390.08/222.30	                   =  [b(x1)]         
390.08/222.30	                                      
390.08/222.30	        [a(c(x1))] =  [1] x1 + [1]    
390.08/222.30	                   >= [1] x1 + [1]    
390.08/222.30	                   =  [b(c(c(a(x1))))]
390.08/222.30	                                      
390.08/222.30	     [c(b(b(x1)))] =  [1] x1 + [0]    
390.08/222.30	                   ?  [1] x1 + [1]    
390.08/222.30	                   =  [a(x1)]         
390.08/222.30	                                      
390.08/222.30	   
390.08/222.30	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
390.08/222.30	   
390.08/222.30	   We are left with following problem, upon which TcT provides the
390.08/222.30	   certificate MAYBE.
390.08/222.30	   
390.08/222.30	   Strict Trs:
390.08/222.30	     { a(c(x1)) -> b(c(c(a(x1))))
390.08/222.30	     , c(b(b(x1))) -> a(x1) }
390.08/222.30	   Weak Trs: { a(x1) -> b(x1) }
390.08/222.30	   Obligation:
390.08/222.30	     derivational complexity
390.08/222.30	   Answer:
390.08/222.30	     MAYBE
390.08/222.30	   
390.08/222.30	   The weightgap principle applies (using the following nonconstant
390.08/222.30	   growth matrix-interpretation)
390.08/222.30	   
390.08/222.30	   TcT has computed the following triangular matrix interpretation.
390.08/222.30	   Note that the diagonal of the component-wise maxima of
390.08/222.30	   interpretation-entries contains no more than 1 non-zero entries.
390.08/222.30	   
390.08/222.30	     [a](x1) = [1] x1 + [0]
390.08/222.30	                           
390.08/222.30	     [b](x1) = [1] x1 + [0]
390.08/222.30	                           
390.08/222.30	     [c](x1) = [1] x1 + [1]
390.08/222.30	   
390.08/222.30	   The order satisfies the following ordering constraints:
390.08/222.30	   
390.08/222.30	           [a(x1)] =  [1] x1 + [0]    
390.08/222.30	                   >= [1] x1 + [0]    
390.08/222.30	                   =  [b(x1)]         
390.08/222.30	                                      
390.08/222.30	        [a(c(x1))] =  [1] x1 + [1]    
390.08/222.30	                   ?  [1] x1 + [2]    
390.08/222.30	                   =  [b(c(c(a(x1))))]
390.08/222.30	                                      
390.08/222.30	     [c(b(b(x1)))] =  [1] x1 + [1]    
390.08/222.30	                   >  [1] x1 + [0]    
390.08/222.30	                   =  [a(x1)]         
390.08/222.30	                                      
390.08/222.30	   
390.08/222.30	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
390.08/222.30	   
390.08/222.30	   We are left with following problem, upon which TcT provides the
390.08/222.30	   certificate MAYBE.
390.08/222.30	   
390.08/222.30	   Strict Trs: { a(c(x1)) -> b(c(c(a(x1)))) }
390.08/222.30	   Weak Trs:
390.08/222.30	     { a(x1) -> b(x1)
390.08/222.30	     , c(b(b(x1))) -> a(x1) }
390.08/222.30	   Obligation:
390.08/222.30	     derivational complexity
390.08/222.30	   Answer:
390.08/222.30	     MAYBE
390.08/222.30	   
390.08/222.30	   None of the processors succeeded.
390.08/222.30	   
390.08/222.30	   Details of failed attempt(s):
390.08/222.30	   -----------------------------
390.08/222.30	   1) 'empty' failed due to the following reason:
390.08/222.30	      
390.08/222.30	      Empty strict component of the problem is NOT empty.
390.08/222.30	   
390.08/222.30	   2) 'Fastest' failed due to the following reason:
390.08/222.30	      
390.08/222.30	      None of the processors succeeded.
390.08/222.30	      
390.08/222.30	      Details of failed attempt(s):
390.08/222.30	      -----------------------------
390.08/222.30	      1) 'Fastest' failed due to the following reason:
390.08/222.30	         
390.08/222.30	         None of the processors succeeded.
390.08/222.30	         
390.08/222.30	         Details of failed attempt(s):
390.08/222.30	         -----------------------------
390.08/222.30	         1) 'matrix interpretation of dimension 6' failed due to the
390.08/222.30	            following reason:
390.08/222.30	            
390.08/222.30	            The input cannot be shown compatible
390.08/222.30	         
390.08/222.30	         2) 'matrix interpretation of dimension 5' failed due to the
390.08/222.30	            following reason:
390.08/222.30	            
390.08/222.30	            The input cannot be shown compatible
390.08/222.30	         
390.08/222.30	         3) 'matrix interpretation of dimension 4' failed due to the
390.08/222.30	            following reason:
390.08/222.30	            
390.08/222.30	            The input cannot be shown compatible
390.08/222.30	         
390.08/222.30	         4) 'matrix interpretation of dimension 3' failed due to the
390.08/222.30	            following reason:
390.08/222.30	            
390.08/222.30	            The input cannot be shown compatible
390.08/222.30	         
390.08/222.30	         5) 'matrix interpretation of dimension 2' failed due to the
390.08/222.30	            following reason:
390.08/222.30	            
390.08/222.30	            The input cannot be shown compatible
390.08/222.30	         
390.08/222.30	         6) 'matrix interpretation of dimension 1' failed due to the
390.08/222.30	            following reason:
390.08/222.30	            
390.08/222.30	            The input cannot be shown compatible
390.08/222.30	         
390.08/222.30	      
390.08/222.30	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
390.08/222.30	         reason:
390.08/222.30	         
390.08/222.30	         Computation stopped due to timeout after 30.0 seconds.
390.08/222.30	      
390.08/222.30	      3) 'iteProgress' failed due to the following reason:
390.08/222.30	         
390.08/222.30	         Fail
390.08/222.30	      
390.08/222.30	      4) 'bsearch-matrix' failed due to the following reason:
390.08/222.30	         
390.08/222.30	         The input cannot be shown compatible
390.08/222.30	      
390.08/222.30	   
390.08/222.30	
390.08/222.30	2) 'Fastest (timeout of 60 seconds)' failed due to the following
390.08/222.30	   reason:
390.08/222.30	   
390.08/222.30	   Computation stopped due to timeout after 60.0 seconds.
390.08/222.30	
390.08/222.30	3) 'iteProgress (timeout of 297 seconds)' failed due to the
390.08/222.30	   following reason:
390.08/222.30	   
390.08/222.30	   Fail
390.08/222.30	
390.08/222.30	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
390.08/222.30	   following reason:
390.08/222.30	   
390.08/222.30	   The input cannot be shown compatible
390.08/222.30	
390.08/222.30	
390.08/222.30	Arrrr..
390.08/222.31	EOF