MAYBE
440.01/149.51	MAYBE
440.01/149.51	
440.01/149.51	We are left with following problem, upon which TcT provides the
440.01/149.51	certificate MAYBE.
440.01/149.51	
440.01/149.51	Strict Trs:
440.01/149.51	  { a(x1) -> x1
440.01/149.51	  , a(b(x1)) -> b(a(c(b(a(a(x1))))))
440.01/149.51	  , c(b(c(x1))) -> x1 }
440.01/149.51	Obligation:
440.01/149.51	  derivational complexity
440.01/149.51	Answer:
440.01/149.51	  MAYBE
440.01/149.51	
440.01/149.51	None of the processors succeeded.
440.01/149.51	
440.01/149.51	Details of failed attempt(s):
440.01/149.51	-----------------------------
440.01/149.51	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
440.01/149.51	   the following reason:
440.01/149.51	   
440.01/149.51	   The weightgap principle applies (using the following nonconstant
440.01/149.51	   growth matrix-interpretation)
440.01/149.51	   
440.01/149.51	   TcT has computed the following triangular matrix interpretation.
440.01/149.51	   Note that the diagonal of the component-wise maxima of
440.01/149.51	   interpretation-entries contains no more than 1 non-zero entries.
440.01/149.51	   
440.01/149.51	     [a](x1) = [1] x1 + [1]
440.01/149.51	                           
440.01/149.51	     [b](x1) = [1] x1 + [0]
440.01/149.51	                           
440.01/149.51	     [c](x1) = [1] x1 + [2]
440.01/149.51	   
440.01/149.51	   The order satisfies the following ordering constraints:
440.01/149.51	   
440.01/149.51	           [a(x1)] = [1] x1 + [1]          
440.01/149.51	                   > [1] x1 + [0]          
440.01/149.51	                   = [x1]                  
440.01/149.51	                                           
440.01/149.51	        [a(b(x1))] = [1] x1 + [1]          
440.01/149.51	                   ? [1] x1 + [5]          
440.01/149.51	                   = [b(a(c(b(a(a(x1))))))]
440.01/149.51	                                           
440.01/149.51	     [c(b(c(x1)))] = [1] x1 + [4]          
440.01/149.51	                   > [1] x1 + [0]          
440.01/149.51	                   = [x1]                  
440.01/149.51	                                           
440.01/149.51	   
440.01/149.51	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
440.01/149.51	   
440.01/149.51	   We are left with following problem, upon which TcT provides the
440.01/149.51	   certificate MAYBE.
440.01/149.51	   
440.01/149.51	   Strict Trs: { a(b(x1)) -> b(a(c(b(a(a(x1)))))) }
440.01/149.51	   Weak Trs:
440.01/149.51	     { a(x1) -> x1
440.01/149.51	     , c(b(c(x1))) -> x1 }
440.01/149.51	   Obligation:
440.01/149.51	     derivational complexity
440.01/149.51	   Answer:
440.01/149.51	     MAYBE
440.01/149.51	   
440.01/149.51	   None of the processors succeeded.
440.01/149.51	   
440.01/149.51	   Details of failed attempt(s):
440.01/149.51	   -----------------------------
440.01/149.51	   1) 'empty' failed due to the following reason:
440.01/149.51	      
440.01/149.51	      Empty strict component of the problem is NOT empty.
440.01/149.51	   
440.01/149.51	   2) 'Fastest' failed due to the following reason:
440.01/149.51	      
440.01/149.51	      None of the processors succeeded.
440.01/149.51	      
440.01/149.51	      Details of failed attempt(s):
440.01/149.51	      -----------------------------
440.01/149.51	      1) 'bsearch-matrix' failed due to the following reason:
440.01/149.51	         
440.01/149.51	         The input cannot be shown compatible
440.01/149.51	      
440.01/149.51	      2) 'iteProgress' failed due to the following reason:
440.01/149.51	         
440.01/149.51	         Fail
440.01/149.51	      
440.01/149.51	      3) 'Fastest' failed due to the following reason:
440.01/149.51	         
440.01/149.51	         None of the processors succeeded.
440.01/149.51	         
440.01/149.51	         Details of failed attempt(s):
440.01/149.51	         -----------------------------
440.01/149.51	         1) 'matrix interpretation of dimension 6' failed due to the
440.01/149.51	            following reason:
440.01/149.51	            
440.01/149.51	            The input cannot be shown compatible
440.01/149.51	         
440.01/149.51	         2) 'matrix interpretation of dimension 5' failed due to the
440.01/149.51	            following reason:
440.01/149.51	            
440.01/149.51	            The input cannot be shown compatible
440.01/149.51	         
440.01/149.51	         3) 'matrix interpretation of dimension 4' failed due to the
440.01/149.51	            following reason:
440.01/149.51	            
440.01/149.51	            The input cannot be shown compatible
440.01/149.51	         
440.01/149.51	         4) 'matrix interpretation of dimension 3' failed due to the
440.01/149.51	            following reason:
440.01/149.51	            
440.01/149.51	            The input cannot be shown compatible
440.01/149.51	         
440.01/149.51	         5) 'matrix interpretation of dimension 2' failed due to the
440.01/149.51	            following reason:
440.01/149.51	            
440.01/149.51	            The input cannot be shown compatible
440.01/149.51	         
440.01/149.51	         6) 'matrix interpretation of dimension 1' failed due to the
440.01/149.51	            following reason:
440.01/149.51	            
440.01/149.51	            The input cannot be shown compatible
440.01/149.51	         
440.01/149.51	      
440.01/149.51	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
440.01/149.51	         reason:
440.01/149.51	         
440.01/149.51	         Computation stopped due to timeout after 30.0 seconds.
440.01/149.51	      
440.01/149.51	   
440.01/149.51	
440.01/149.51	2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
440.01/149.51	   following reason:
440.01/149.51	   
440.01/149.51	   The input cannot be shown compatible
440.01/149.51	
440.01/149.51	3) 'Fastest (timeout of 60 seconds)' failed due to the following
440.01/149.51	   reason:
440.01/149.51	   
440.01/149.51	   Computation stopped due to timeout after 60.0 seconds.
440.01/149.51	
440.01/149.51	4) 'iteProgress (timeout of 297 seconds)' failed due to the
440.01/149.51	   following reason:
440.01/149.51	   
440.01/149.51	   Fail
440.01/149.51	
440.01/149.51	
440.01/149.51	Arrrr..
440.14/149.64	EOF