MAYBE
547.04/191.43	MAYBE
547.04/191.43	
547.04/191.43	We are left with following problem, upon which TcT provides the
547.04/191.43	certificate MAYBE.
547.04/191.43	
547.04/191.43	Strict Trs:
547.04/191.43	  { a(a(b(x1))) -> b(c(b(a(a(a(x1))))))
547.04/191.43	  , a(c(x1)) -> x1 }
547.04/191.43	Obligation:
547.04/191.43	  derivational complexity
547.04/191.43	Answer:
547.04/191.43	  MAYBE
547.04/191.43	
547.04/191.43	None of the processors succeeded.
547.04/191.43	
547.04/191.43	Details of failed attempt(s):
547.04/191.43	-----------------------------
547.04/191.43	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
547.04/191.43	   the following reason:
547.04/191.43	   
547.04/191.43	   The weightgap principle applies (using the following nonconstant
547.04/191.43	   growth matrix-interpretation)
547.04/191.43	   
547.04/191.43	   TcT has computed the following triangular matrix interpretation.
547.04/191.43	   Note that the diagonal of the component-wise maxima of
547.04/191.43	   interpretation-entries contains no more than 1 non-zero entries.
547.04/191.43	   
547.04/191.43	     [a](x1) = [1] x1 + [0]
547.04/191.43	                           
547.04/191.43	     [b](x1) = [1] x1 + [0]
547.04/191.43	                           
547.04/191.43	     [c](x1) = [1] x1 + [1]
547.04/191.43	   
547.04/191.43	   The order satisfies the following ordering constraints:
547.04/191.43	   
547.04/191.43	     [a(a(b(x1)))] = [1] x1 + [0]          
547.04/191.43	                   ? [1] x1 + [1]          
547.04/191.43	                   = [b(c(b(a(a(a(x1))))))]
547.04/191.43	                                           
547.04/191.43	        [a(c(x1))] = [1] x1 + [1]          
547.04/191.43	                   > [1] x1 + [0]          
547.04/191.43	                   = [x1]                  
547.04/191.43	                                           
547.04/191.43	   
547.04/191.43	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
547.04/191.43	   
547.04/191.43	   We are left with following problem, upon which TcT provides the
547.04/191.43	   certificate MAYBE.
547.04/191.43	   
547.04/191.43	   Strict Trs: { a(a(b(x1))) -> b(c(b(a(a(a(x1)))))) }
547.04/191.43	   Weak Trs: { a(c(x1)) -> x1 }
547.04/191.43	   Obligation:
547.04/191.43	     derivational complexity
547.04/191.43	   Answer:
547.04/191.43	     MAYBE
547.04/191.43	   
547.04/191.43	   None of the processors succeeded.
547.04/191.43	   
547.04/191.43	   Details of failed attempt(s):
547.04/191.43	   -----------------------------
547.04/191.43	   1) 'empty' failed due to the following reason:
547.04/191.43	      
547.04/191.43	      Empty strict component of the problem is NOT empty.
547.04/191.43	   
547.04/191.43	   2) 'Fastest' failed due to the following reason:
547.04/191.43	      
547.04/191.43	      None of the processors succeeded.
547.04/191.43	      
547.04/191.43	      Details of failed attempt(s):
547.04/191.43	      -----------------------------
547.04/191.43	      1) 'bsearch-matrix' failed due to the following reason:
547.04/191.43	         
547.04/191.43	         The input cannot be shown compatible
547.04/191.43	      
547.04/191.43	      2) 'iteProgress' failed due to the following reason:
547.04/191.43	         
547.04/191.43	         Fail
547.04/191.43	      
547.04/191.43	      3) 'Fastest' failed due to the following reason:
547.04/191.43	         
547.04/191.43	         None of the processors succeeded.
547.04/191.43	         
547.04/191.43	         Details of failed attempt(s):
547.04/191.43	         -----------------------------
547.04/191.43	         1) 'matrix interpretation of dimension 6' failed due to the
547.04/191.43	            following reason:
547.04/191.43	            
547.04/191.43	            The input cannot be shown compatible
547.04/191.43	         
547.04/191.43	         2) 'matrix interpretation of dimension 5' failed due to the
547.04/191.43	            following reason:
547.04/191.43	            
547.04/191.43	            The input cannot be shown compatible
547.04/191.43	         
547.04/191.43	         3) 'matrix interpretation of dimension 4' failed due to the
547.04/191.43	            following reason:
547.04/191.43	            
547.04/191.43	            The input cannot be shown compatible
547.04/191.43	         
547.04/191.43	         4) 'matrix interpretation of dimension 3' failed due to the
547.04/191.43	            following reason:
547.04/191.43	            
547.04/191.43	            The input cannot be shown compatible
547.04/191.43	         
547.04/191.43	         5) 'matrix interpretation of dimension 2' failed due to the
547.04/191.43	            following reason:
547.04/191.43	            
547.04/191.43	            The input cannot be shown compatible
547.04/191.43	         
547.04/191.43	         6) 'matrix interpretation of dimension 1' failed due to the
547.04/191.43	            following reason:
547.04/191.43	            
547.04/191.43	            The input cannot be shown compatible
547.04/191.43	         
547.04/191.43	      
547.04/191.43	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
547.04/191.43	         reason:
547.04/191.43	         
547.04/191.43	         Computation stopped due to timeout after 30.0 seconds.
547.04/191.43	      
547.04/191.43	   
547.04/191.43	
547.04/191.43	2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
547.04/191.43	   following reason:
547.04/191.43	   
547.04/191.43	   The input cannot be shown compatible
547.04/191.43	
547.04/191.43	3) 'iteProgress (timeout of 297 seconds)' failed due to the
547.04/191.43	   following reason:
547.04/191.43	   
547.04/191.43	   Fail
547.04/191.43	
547.04/191.43	4) 'Fastest (timeout of 60 seconds)' failed due to the following
547.04/191.43	   reason:
547.04/191.43	   
547.04/191.43	   Computation stopped due to timeout after 60.0 seconds.
547.04/191.43	
547.04/191.43	
547.04/191.43	Arrrr..
547.21/191.51	EOF