MAYBE
585.74/197.13	MAYBE
585.74/197.13	
585.74/197.13	We are left with following problem, upon which TcT provides the
585.74/197.13	certificate MAYBE.
585.74/197.13	
585.74/197.13	Strict Trs:
585.74/197.13	  { a(x1) -> x1
585.74/197.13	  , a(b(x1)) -> b(a(a(c(a(a(x1))))))
585.74/197.13	  , c(c(x1)) -> b(x1) }
585.74/197.13	Obligation:
585.74/197.13	  derivational complexity
585.74/197.13	Answer:
585.74/197.13	  MAYBE
585.74/197.13	
585.74/197.13	None of the processors succeeded.
585.74/197.13	
585.74/197.13	Details of failed attempt(s):
585.74/197.13	-----------------------------
585.74/197.13	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
585.74/197.13	   the following reason:
585.74/197.13	   
585.74/197.13	   The weightgap principle applies (using the following nonconstant
585.74/197.13	   growth matrix-interpretation)
585.74/197.13	   
585.74/197.13	   TcT has computed the following triangular matrix interpretation.
585.74/197.13	   Note that the diagonal of the component-wise maxima of
585.74/197.13	   interpretation-entries contains no more than 1 non-zero entries.
585.74/197.13	   
585.74/197.13	     [a](x1) = [1] x1 + [0]
585.74/197.13	                           
585.74/197.13	     [b](x1) = [1] x1 + [0]
585.74/197.13	                           
585.74/197.13	     [c](x1) = [1] x1 + [1]
585.74/197.13	   
585.74/197.13	   The order satisfies the following ordering constraints:
585.74/197.13	   
585.74/197.13	        [a(x1)] =  [1] x1 + [0]          
585.74/197.13	                >= [1] x1 + [0]          
585.74/197.13	                =  [x1]                  
585.74/197.13	                                         
585.74/197.13	     [a(b(x1))] =  [1] x1 + [0]          
585.74/197.13	                ?  [1] x1 + [1]          
585.74/197.13	                =  [b(a(a(c(a(a(x1))))))]
585.74/197.13	                                         
585.74/197.13	     [c(c(x1))] =  [1] x1 + [2]          
585.74/197.13	                >  [1] x1 + [0]          
585.74/197.13	                =  [b(x1)]               
585.74/197.13	                                         
585.74/197.13	   
585.74/197.13	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
585.74/197.13	   
585.74/197.13	   We are left with following problem, upon which TcT provides the
585.74/197.13	   certificate MAYBE.
585.74/197.13	   
585.74/197.13	   Strict Trs:
585.74/197.13	     { a(x1) -> x1
585.74/197.13	     , a(b(x1)) -> b(a(a(c(a(a(x1)))))) }
585.74/197.13	   Weak Trs: { c(c(x1)) -> b(x1) }
585.74/197.13	   Obligation:
585.74/197.13	     derivational complexity
585.74/197.13	   Answer:
585.74/197.13	     MAYBE
585.74/197.13	   
585.74/197.13	   The weightgap principle applies (using the following nonconstant
585.74/197.13	   growth matrix-interpretation)
585.74/197.13	   
585.74/197.13	   TcT has computed the following triangular matrix interpretation.
585.74/197.13	   Note that the diagonal of the component-wise maxima of
585.74/197.13	   interpretation-entries contains no more than 1 non-zero entries.
585.74/197.13	   
585.74/197.13	     [a](x1) = [1] x1 + [1]
585.74/197.13	                           
585.74/197.13	     [b](x1) = [1] x1 + [0]
585.74/197.13	                           
585.74/197.13	     [c](x1) = [1] x1 + [1]
585.74/197.13	   
585.74/197.13	   The order satisfies the following ordering constraints:
585.74/197.13	   
585.74/197.13	        [a(x1)] = [1] x1 + [1]          
585.74/197.13	                > [1] x1 + [0]          
585.74/197.13	                = [x1]                  
585.74/197.13	                                        
585.74/197.13	     [a(b(x1))] = [1] x1 + [1]          
585.74/197.13	                ? [1] x1 + [5]          
585.74/197.13	                = [b(a(a(c(a(a(x1))))))]
585.74/197.13	                                        
585.74/197.13	     [c(c(x1))] = [1] x1 + [2]          
585.74/197.13	                > [1] x1 + [0]          
585.74/197.13	                = [b(x1)]               
585.74/197.13	                                        
585.74/197.13	   
585.74/197.13	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
585.74/197.13	   
585.74/197.13	   We are left with following problem, upon which TcT provides the
585.74/197.13	   certificate MAYBE.
585.74/197.13	   
585.74/197.13	   Strict Trs: { a(b(x1)) -> b(a(a(c(a(a(x1)))))) }
585.74/197.13	   Weak Trs:
585.74/197.13	     { a(x1) -> x1
585.74/197.13	     , c(c(x1)) -> b(x1) }
585.74/197.13	   Obligation:
585.74/197.13	     derivational complexity
585.74/197.13	   Answer:
585.74/197.13	     MAYBE
585.74/197.13	   
585.74/197.13	   None of the processors succeeded.
585.74/197.13	   
585.74/197.13	   Details of failed attempt(s):
585.74/197.13	   -----------------------------
585.74/197.13	   1) 'empty' failed due to the following reason:
585.74/197.13	      
585.74/197.13	      Empty strict component of the problem is NOT empty.
585.74/197.13	   
585.74/197.13	   2) 'Fastest' failed due to the following reason:
585.74/197.13	      
585.74/197.13	      None of the processors succeeded.
585.74/197.13	      
585.74/197.13	      Details of failed attempt(s):
585.74/197.13	      -----------------------------
585.74/197.13	      1) 'bsearch-matrix' failed due to the following reason:
585.74/197.13	         
585.74/197.13	         The input cannot be shown compatible
585.74/197.13	      
585.74/197.13	      2) 'Fastest' failed due to the following reason:
585.74/197.13	         
585.74/197.13	         None of the processors succeeded.
585.74/197.13	         
585.74/197.13	         Details of failed attempt(s):
585.74/197.13	         -----------------------------
585.74/197.13	         1) 'matrix interpretation of dimension 6' failed due to the
585.74/197.13	            following reason:
585.74/197.13	            
585.74/197.13	            The input cannot be shown compatible
585.74/197.13	         
585.74/197.13	         2) 'matrix interpretation of dimension 5' failed due to the
585.74/197.13	            following reason:
585.74/197.13	            
585.74/197.13	            The input cannot be shown compatible
585.74/197.13	         
585.74/197.13	         3) 'matrix interpretation of dimension 4' failed due to the
585.74/197.13	            following reason:
585.74/197.13	            
585.74/197.13	            The input cannot be shown compatible
585.74/197.13	         
585.74/197.13	         4) 'matrix interpretation of dimension 3' failed due to the
585.74/197.13	            following reason:
585.74/197.13	            
585.74/197.13	            The input cannot be shown compatible
585.74/197.13	         
585.74/197.13	         5) 'matrix interpretation of dimension 2' failed due to the
585.74/197.13	            following reason:
585.74/197.13	            
585.74/197.13	            The input cannot be shown compatible
585.74/197.13	         
585.74/197.13	         6) 'matrix interpretation of dimension 1' failed due to the
585.74/197.13	            following reason:
585.74/197.13	            
585.74/197.13	            The input cannot be shown compatible
585.74/197.13	         
585.74/197.13	      
585.74/197.13	      3) 'iteProgress' failed due to the following reason:
585.74/197.13	         
585.74/197.13	         Fail
585.74/197.13	      
585.74/197.13	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
585.74/197.13	         reason:
585.74/197.13	         
585.74/197.13	         Computation stopped due to timeout after 30.0 seconds.
585.74/197.13	      
585.74/197.13	   
585.74/197.13	
585.74/197.13	2) 'iteProgress (timeout of 297 seconds)' failed due to the
585.74/197.13	   following reason:
585.74/197.13	   
585.74/197.13	   Fail
585.74/197.13	
585.74/197.13	3) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
585.74/197.13	   following reason:
585.74/197.13	   
585.74/197.13	   The input cannot be shown compatible
585.74/197.13	
585.74/197.13	4) 'Fastest (timeout of 60 seconds)' failed due to the following
585.74/197.13	   reason:
585.74/197.13	   
585.74/197.13	   Computation stopped due to timeout after 60.0 seconds.
585.74/197.13	
585.74/197.13	
585.74/197.13	Arrrr..
585.74/197.19	EOF