MAYBE
547.15/197.04	MAYBE
547.15/197.04	
547.15/197.04	We are left with following problem, upon which TcT provides the
547.15/197.04	certificate MAYBE.
547.15/197.04	
547.15/197.04	Strict Trs:
547.15/197.04	  { a(a(b(x1))) -> b(b(c(a(a(a(x1))))))
547.15/197.04	  , b(c(a(x1))) -> x1 }
547.15/197.04	Obligation:
547.15/197.04	  derivational complexity
547.15/197.04	Answer:
547.15/197.04	  MAYBE
547.15/197.04	
547.15/197.04	None of the processors succeeded.
547.15/197.04	
547.15/197.04	Details of failed attempt(s):
547.15/197.04	-----------------------------
547.15/197.04	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
547.15/197.04	   the following reason:
547.15/197.04	   
547.15/197.04	   The weightgap principle applies (using the following nonconstant
547.15/197.04	   growth matrix-interpretation)
547.15/197.04	   
547.15/197.04	   TcT has computed the following triangular matrix interpretation.
547.15/197.04	   Note that the diagonal of the component-wise maxima of
547.15/197.04	   interpretation-entries contains no more than 1 non-zero entries.
547.15/197.04	   
547.15/197.04	     [a](x1) = [1] x1 + [0]
547.15/197.04	                           
547.15/197.04	     [b](x1) = [1] x1 + [0]
547.15/197.04	                           
547.15/197.04	     [c](x1) = [1] x1 + [1]
547.15/197.04	   
547.15/197.04	   The order satisfies the following ordering constraints:
547.15/197.04	   
547.15/197.04	     [a(a(b(x1)))] = [1] x1 + [0]          
547.15/197.04	                   ? [1] x1 + [1]          
547.15/197.04	                   = [b(b(c(a(a(a(x1))))))]
547.15/197.04	                                           
547.15/197.04	     [b(c(a(x1)))] = [1] x1 + [1]          
547.15/197.04	                   > [1] x1 + [0]          
547.15/197.04	                   = [x1]                  
547.15/197.04	                                           
547.15/197.04	   
547.15/197.04	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
547.15/197.04	   
547.15/197.04	   We are left with following problem, upon which TcT provides the
547.15/197.04	   certificate MAYBE.
547.15/197.04	   
547.15/197.04	   Strict Trs: { a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) }
547.15/197.04	   Weak Trs: { b(c(a(x1))) -> x1 }
547.15/197.04	   Obligation:
547.15/197.04	     derivational complexity
547.15/197.04	   Answer:
547.15/197.04	     MAYBE
547.15/197.04	   
547.15/197.04	   None of the processors succeeded.
547.15/197.04	   
547.15/197.04	   Details of failed attempt(s):
547.15/197.04	   -----------------------------
547.15/197.04	   1) 'empty' failed due to the following reason:
547.15/197.04	      
547.15/197.04	      Empty strict component of the problem is NOT empty.
547.15/197.04	   
547.15/197.04	   2) 'Fastest' failed due to the following reason:
547.15/197.04	      
547.15/197.04	      None of the processors succeeded.
547.15/197.04	      
547.15/197.04	      Details of failed attempt(s):
547.15/197.04	      -----------------------------
547.15/197.04	      1) 'bsearch-matrix' failed due to the following reason:
547.15/197.04	         
547.15/197.04	         The input cannot be shown compatible
547.15/197.04	      
547.15/197.04	      2) 'iteProgress' failed due to the following reason:
547.15/197.04	         
547.15/197.04	         Fail
547.15/197.04	      
547.15/197.04	      3) 'Fastest' failed due to the following reason:
547.15/197.04	         
547.15/197.04	         None of the processors succeeded.
547.15/197.04	         
547.15/197.04	         Details of failed attempt(s):
547.15/197.04	         -----------------------------
547.15/197.04	         1) 'matrix interpretation of dimension 6' failed due to the
547.15/197.04	            following reason:
547.15/197.04	            
547.15/197.04	            The input cannot be shown compatible
547.15/197.04	         
547.15/197.04	         2) 'matrix interpretation of dimension 5' failed due to the
547.15/197.04	            following reason:
547.15/197.04	            
547.15/197.04	            The input cannot be shown compatible
547.15/197.04	         
547.15/197.04	         3) 'matrix interpretation of dimension 4' failed due to the
547.15/197.04	            following reason:
547.15/197.04	            
547.15/197.04	            The input cannot be shown compatible
547.15/197.04	         
547.15/197.04	         4) 'matrix interpretation of dimension 3' failed due to the
547.15/197.04	            following reason:
547.15/197.04	            
547.15/197.04	            The input cannot be shown compatible
547.15/197.04	         
547.15/197.04	         5) 'matrix interpretation of dimension 2' failed due to the
547.15/197.04	            following reason:
547.15/197.04	            
547.15/197.04	            The input cannot be shown compatible
547.15/197.04	         
547.15/197.04	         6) 'matrix interpretation of dimension 1' failed due to the
547.15/197.04	            following reason:
547.15/197.04	            
547.15/197.04	            The input cannot be shown compatible
547.15/197.04	         
547.15/197.04	      
547.15/197.04	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
547.15/197.04	         reason:
547.15/197.04	         
547.15/197.04	         Computation stopped due to timeout after 30.0 seconds.
547.15/197.04	      
547.15/197.04	   
547.15/197.04	
547.15/197.04	2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
547.15/197.04	   following reason:
547.15/197.04	   
547.15/197.04	   The input cannot be shown compatible
547.15/197.04	
547.15/197.04	3) 'iteProgress (timeout of 297 seconds)' failed due to the
547.15/197.04	   following reason:
547.15/197.04	   
547.15/197.04	   Fail
547.15/197.04	
547.15/197.04	4) 'Fastest (timeout of 60 seconds)' failed due to the following
547.15/197.04	   reason:
547.15/197.04	   
547.15/197.04	   Computation stopped due to timeout after 60.0 seconds.
547.15/197.04	
547.15/197.04	
547.15/197.04	Arrrr..
547.41/197.17	EOF