MAYBE
481.04/166.44	MAYBE
481.04/166.44	
481.04/166.44	We are left with following problem, upon which TcT provides the
481.04/166.44	certificate MAYBE.
481.04/166.44	
481.04/166.44	Strict Trs:
481.04/166.44	  { a(b(x1)) -> x1
481.04/166.44	  , a(c(x1)) -> b(c(a(b(c(a(x1))))))
481.04/166.44	  , b(c(x1)) -> x1 }
481.04/166.44	Obligation:
481.04/166.44	  derivational complexity
481.04/166.44	Answer:
481.04/166.44	  MAYBE
481.04/166.44	
481.04/166.44	None of the processors succeeded.
481.04/166.44	
481.04/166.44	Details of failed attempt(s):
481.04/166.44	-----------------------------
481.04/166.44	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
481.04/166.44	   the following reason:
481.04/166.44	   
481.04/166.44	   The weightgap principle applies (using the following nonconstant
481.04/166.44	   growth matrix-interpretation)
481.04/166.44	   
481.04/166.44	   TcT has computed the following triangular matrix interpretation.
481.04/166.44	   Note that the diagonal of the component-wise maxima of
481.04/166.44	   interpretation-entries contains no more than 1 non-zero entries.
481.04/166.44	   
481.04/166.44	     [a](x1) = [1] x1 + [1]
481.04/166.44	                           
481.04/166.44	     [b](x1) = [1] x1 + [0]
481.04/166.44	                           
481.04/166.44	     [c](x1) = [1] x1 + [0]
481.04/166.44	   
481.04/166.44	   The order satisfies the following ordering constraints:
481.04/166.44	   
481.04/166.44	     [a(b(x1))] =  [1] x1 + [1]          
481.04/166.44	                >  [1] x1 + [0]          
481.04/166.44	                =  [x1]                  
481.04/166.44	                                         
481.04/166.44	     [a(c(x1))] =  [1] x1 + [1]          
481.04/166.44	                ?  [1] x1 + [2]          
481.04/166.44	                =  [b(c(a(b(c(a(x1))))))]
481.04/166.44	                                         
481.04/166.44	     [b(c(x1))] =  [1] x1 + [0]          
481.04/166.44	                >= [1] x1 + [0]          
481.04/166.44	                =  [x1]                  
481.04/166.44	                                         
481.04/166.44	   
481.04/166.44	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
481.04/166.44	   
481.04/166.44	   We are left with following problem, upon which TcT provides the
481.04/166.44	   certificate MAYBE.
481.04/166.44	   
481.04/166.44	   Strict Trs:
481.04/166.44	     { a(c(x1)) -> b(c(a(b(c(a(x1))))))
481.04/166.44	     , b(c(x1)) -> x1 }
481.04/166.44	   Weak Trs: { a(b(x1)) -> x1 }
481.04/166.44	   Obligation:
481.04/166.44	     derivational complexity
481.04/166.44	   Answer:
481.04/166.44	     MAYBE
481.04/166.44	   
481.04/166.44	   The weightgap principle applies (using the following nonconstant
481.04/166.44	   growth matrix-interpretation)
481.04/166.44	   
481.04/166.44	   TcT has computed the following triangular matrix interpretation.
481.04/166.44	   Note that the diagonal of the component-wise maxima of
481.04/166.44	   interpretation-entries contains no more than 1 non-zero entries.
481.04/166.44	   
481.04/166.44	     [a](x1) = [1] x1 + [1]
481.04/166.44	                           
481.04/166.44	     [b](x1) = [1] x1 + [1]
481.04/166.44	                           
481.04/166.44	     [c](x1) = [1] x1 + [0]
481.04/166.44	   
481.04/166.44	   The order satisfies the following ordering constraints:
481.04/166.44	   
481.04/166.44	     [a(b(x1))] = [1] x1 + [2]          
481.04/166.44	                > [1] x1 + [0]          
481.04/166.44	                = [x1]                  
481.04/166.44	                                        
481.04/166.44	     [a(c(x1))] = [1] x1 + [1]          
481.04/166.44	                ? [1] x1 + [4]          
481.04/166.44	                = [b(c(a(b(c(a(x1))))))]
481.04/166.44	                                        
481.04/166.44	     [b(c(x1))] = [1] x1 + [1]          
481.04/166.44	                > [1] x1 + [0]          
481.04/166.44	                = [x1]                  
481.04/166.44	                                        
481.04/166.44	   
481.04/166.44	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
481.04/166.44	   
481.04/166.44	   We are left with following problem, upon which TcT provides the
481.04/166.44	   certificate MAYBE.
481.04/166.44	   
481.04/166.44	   Strict Trs: { a(c(x1)) -> b(c(a(b(c(a(x1)))))) }
481.04/166.44	   Weak Trs:
481.04/166.44	     { a(b(x1)) -> x1
481.04/166.44	     , b(c(x1)) -> x1 }
481.04/166.44	   Obligation:
481.04/166.44	     derivational complexity
481.04/166.44	   Answer:
481.04/166.44	     MAYBE
481.04/166.44	   
481.04/166.44	   None of the processors succeeded.
481.04/166.44	   
481.04/166.44	   Details of failed attempt(s):
481.04/166.44	   -----------------------------
481.04/166.44	   1) 'empty' failed due to the following reason:
481.04/166.44	      
481.04/166.44	      Empty strict component of the problem is NOT empty.
481.04/166.44	   
481.04/166.44	   2) 'Fastest' failed due to the following reason:
481.04/166.44	      
481.04/166.44	      None of the processors succeeded.
481.04/166.44	      
481.04/166.44	      Details of failed attempt(s):
481.04/166.44	      -----------------------------
481.04/166.44	      1) 'bsearch-matrix' failed due to the following reason:
481.04/166.44	         
481.04/166.44	         The input cannot be shown compatible
481.04/166.44	      
481.04/166.44	      2) 'iteProgress' failed due to the following reason:
481.04/166.44	         
481.04/166.44	         Fail
481.04/166.44	      
481.04/166.44	      3) 'Fastest' failed due to the following reason:
481.04/166.44	         
481.04/166.44	         None of the processors succeeded.
481.04/166.44	         
481.04/166.44	         Details of failed attempt(s):
481.04/166.44	         -----------------------------
481.04/166.44	         1) 'matrix interpretation of dimension 6' failed due to the
481.04/166.44	            following reason:
481.04/166.44	            
481.04/166.44	            The input cannot be shown compatible
481.04/166.44	         
481.04/166.44	         2) 'matrix interpretation of dimension 5' failed due to the
481.04/166.44	            following reason:
481.04/166.44	            
481.04/166.44	            The input cannot be shown compatible
481.04/166.44	         
481.04/166.44	         3) 'matrix interpretation of dimension 4' failed due to the
481.04/166.44	            following reason:
481.04/166.44	            
481.04/166.44	            The input cannot be shown compatible
481.04/166.44	         
481.04/166.44	         4) 'matrix interpretation of dimension 3' failed due to the
481.04/166.44	            following reason:
481.04/166.44	            
481.04/166.44	            The input cannot be shown compatible
481.04/166.44	         
481.04/166.44	         5) 'matrix interpretation of dimension 2' failed due to the
481.04/166.44	            following reason:
481.04/166.44	            
481.04/166.44	            The input cannot be shown compatible
481.04/166.44	         
481.04/166.44	         6) 'matrix interpretation of dimension 1' failed due to the
481.04/166.44	            following reason:
481.04/166.44	            
481.04/166.44	            The input cannot be shown compatible
481.04/166.44	         
481.04/166.44	      
481.04/166.44	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
481.04/166.44	         reason:
481.04/166.44	         
481.04/166.44	         Computation stopped due to timeout after 30.0 seconds.
481.04/166.44	      
481.04/166.44	   
481.04/166.44	
481.04/166.44	2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
481.04/166.44	   following reason:
481.04/166.44	   
481.04/166.44	   The input cannot be shown compatible
481.04/166.44	
481.04/166.44	3) 'iteProgress (timeout of 297 seconds)' failed due to the
481.04/166.44	   following reason:
481.04/166.44	   
481.04/166.44	   Fail
481.04/166.44	
481.04/166.44	4) 'Fastest (timeout of 60 seconds)' failed due to the following
481.04/166.44	   reason:
481.04/166.44	   
481.04/166.44	   Computation stopped due to timeout after 60.0 seconds.
481.04/166.44	
481.04/166.44	
481.04/166.44	Arrrr..
481.29/166.53	EOF