MAYBE
209.91/60.04	MAYBE
209.91/60.04	
209.91/60.04	We are left with following problem, upon which TcT provides the
209.91/60.04	certificate MAYBE.
209.91/60.04	
209.91/60.04	Strict Trs:
209.91/60.04	  { a(a(x1)) -> b(x1)
209.91/60.04	  , b(c(x1)) -> a(x1)
209.91/60.04	  , c(b(x1)) -> b(c(c(a(x1)))) }
209.91/60.04	Obligation:
209.91/60.04	  derivational complexity
209.91/60.04	Answer:
209.91/60.04	  MAYBE
209.91/60.04	
209.91/60.04	None of the processors succeeded.
209.91/60.04	
209.91/60.04	Details of failed attempt(s):
209.91/60.04	-----------------------------
209.91/60.04	1) 'Fastest (timeout of 60 seconds)' failed due to the following
209.91/60.04	   reason:
209.91/60.04	   
209.91/60.04	   Computation stopped due to timeout after 60.0 seconds.
209.91/60.04	
209.91/60.04	2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
209.91/60.04	   the following reason:
209.91/60.04	   
209.91/60.04	   The weightgap principle applies (using the following nonconstant
209.91/60.04	   growth matrix-interpretation)
209.91/60.04	   
209.91/60.04	   TcT has computed the following triangular matrix interpretation.
209.91/60.04	   Note that the diagonal of the component-wise maxima of
209.91/60.04	   interpretation-entries contains no more than 1 non-zero entries.
209.91/60.04	   
209.91/60.04	     [a](x1) = [1] x1 + [1]
209.91/60.04	                           
209.91/60.04	     [b](x1) = [1] x1 + [0]
209.91/60.04	                           
209.91/60.04	     [c](x1) = [1] x1 + [0]
209.91/60.04	   
209.91/60.04	   The order satisfies the following ordering constraints:
209.91/60.04	   
209.91/60.04	     [a(a(x1))] = [1] x1 + [2]    
209.91/60.04	                > [1] x1 + [0]    
209.91/60.04	                = [b(x1)]         
209.91/60.04	                                  
209.91/60.04	     [b(c(x1))] = [1] x1 + [0]    
209.91/60.04	                ? [1] x1 + [1]    
209.91/60.04	                = [a(x1)]         
209.91/60.04	                                  
209.91/60.04	     [c(b(x1))] = [1] x1 + [0]    
209.91/60.04	                ? [1] x1 + [1]    
209.91/60.04	                = [b(c(c(a(x1))))]
209.91/60.04	                                  
209.91/60.04	   
209.91/60.04	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
209.91/60.04	   
209.91/60.04	   We are left with following problem, upon which TcT provides the
209.91/60.04	   certificate MAYBE.
209.91/60.04	   
209.91/60.04	   Strict Trs:
209.91/60.04	     { b(c(x1)) -> a(x1)
209.91/60.04	     , c(b(x1)) -> b(c(c(a(x1)))) }
209.91/60.04	   Weak Trs: { a(a(x1)) -> b(x1) }
209.91/60.04	   Obligation:
209.91/60.04	     derivational complexity
209.91/60.04	   Answer:
209.91/60.04	     MAYBE
209.91/60.04	   
209.91/60.04	   The weightgap principle applies (using the following nonconstant
209.91/60.04	   growth matrix-interpretation)
209.91/60.04	   
209.91/60.04	   TcT has computed the following triangular matrix interpretation.
209.91/60.04	   Note that the diagonal of the component-wise maxima of
209.91/60.04	   interpretation-entries contains no more than 1 non-zero entries.
209.91/60.04	   
209.91/60.04	     [a](x1) = [1] x1 + [0]
209.91/60.04	                           
209.91/60.04	     [b](x1) = [1] x1 + [0]
209.91/60.04	                           
209.91/60.04	     [c](x1) = [1] x1 + [2]
209.91/60.04	   
209.91/60.04	   The order satisfies the following ordering constraints:
209.91/60.04	   
209.91/60.04	     [a(a(x1))] =  [1] x1 + [0]    
209.91/60.04	                >= [1] x1 + [0]    
209.91/60.04	                =  [b(x1)]         
209.91/60.04	                                   
209.91/60.04	     [b(c(x1))] =  [1] x1 + [2]    
209.91/60.04	                >  [1] x1 + [0]    
209.91/60.04	                =  [a(x1)]         
209.91/60.04	                                   
209.91/60.04	     [c(b(x1))] =  [1] x1 + [2]    
209.91/60.04	                ?  [1] x1 + [4]    
209.91/60.04	                =  [b(c(c(a(x1))))]
209.91/60.04	                                   
209.91/60.04	   
209.91/60.04	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
209.91/60.04	   
209.91/60.04	   We are left with following problem, upon which TcT provides the
209.91/60.04	   certificate MAYBE.
209.91/60.04	   
209.91/60.04	   Strict Trs: { c(b(x1)) -> b(c(c(a(x1)))) }
209.91/60.04	   Weak Trs:
209.91/60.04	     { a(a(x1)) -> b(x1)
209.91/60.04	     , b(c(x1)) -> a(x1) }
209.91/60.04	   Obligation:
209.91/60.04	     derivational complexity
209.91/60.04	   Answer:
209.91/60.04	     MAYBE
209.91/60.04	   
209.91/60.04	   None of the processors succeeded.
209.91/60.04	   
209.91/60.04	   Details of failed attempt(s):
209.91/60.04	   -----------------------------
209.91/60.04	   1) 'empty' failed due to the following reason:
209.91/60.04	      
209.91/60.04	      Empty strict component of the problem is NOT empty.
209.91/60.04	   
209.91/60.04	   2) 'Fastest' failed due to the following reason:
209.91/60.04	      
209.91/60.04	      None of the processors succeeded.
209.91/60.04	      
209.91/60.04	      Details of failed attempt(s):
209.91/60.04	      -----------------------------
209.91/60.04	      1) 'Fastest' failed due to the following reason:
209.91/60.04	         
209.91/60.04	         None of the processors succeeded.
209.91/60.04	         
209.91/60.04	         Details of failed attempt(s):
209.91/60.04	         -----------------------------
209.91/60.04	         1) 'matrix interpretation of dimension 6' failed due to the
209.91/60.04	            following reason:
209.91/60.04	            
209.91/60.04	            The input cannot be shown compatible
209.91/60.04	         
209.91/60.04	         2) 'matrix interpretation of dimension 5' failed due to the
209.91/60.04	            following reason:
209.91/60.04	            
209.91/60.04	            The input cannot be shown compatible
209.91/60.04	         
209.91/60.04	         3) 'matrix interpretation of dimension 4' failed due to the
209.91/60.04	            following reason:
209.91/60.04	            
209.91/60.04	            The input cannot be shown compatible
209.91/60.04	         
209.91/60.04	         4) 'matrix interpretation of dimension 3' failed due to the
209.91/60.04	            following reason:
209.91/60.04	            
209.91/60.04	            The input cannot be shown compatible
209.91/60.04	         
209.91/60.04	         5) 'matrix interpretation of dimension 2' failed due to the
209.91/60.04	            following reason:
209.91/60.04	            
209.91/60.04	            The input cannot be shown compatible
209.91/60.04	         
209.91/60.04	         6) 'matrix interpretation of dimension 1' failed due to the
209.91/60.04	            following reason:
209.91/60.04	            
209.91/60.04	            The input cannot be shown compatible
209.91/60.04	         
209.91/60.04	      
209.91/60.04	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
209.91/60.04	         reason:
209.91/60.04	         
209.91/60.04	         Computation stopped due to timeout after 30.0 seconds.
209.91/60.04	      
209.91/60.04	      3) 'iteProgress' failed due to the following reason:
209.91/60.04	         
209.91/60.04	         Fail
209.91/60.04	      
209.91/60.04	      4) 'bsearch-matrix' failed due to the following reason:
209.91/60.04	         
209.91/60.04	         The input cannot be shown compatible
209.91/60.04	      
209.91/60.04	   
209.91/60.04	
209.91/60.04	3) 'iteProgress (timeout of 297 seconds)' failed due to the
209.91/60.04	   following reason:
209.91/60.04	   
209.91/60.04	   Fail
209.91/60.04	
209.91/60.04	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
209.91/60.04	   following reason:
209.91/60.04	   
209.91/60.04	   The input cannot be shown compatible
209.91/60.04	
209.91/60.04	
209.91/60.04	Arrrr..
209.91/60.05	EOF