MAYBE
260.82/85.97	MAYBE
260.82/85.97	
260.82/85.97	We are left with following problem, upon which TcT provides the
260.82/85.97	certificate MAYBE.
260.82/85.97	
260.82/85.97	Strict Trs:
260.82/85.97	  { a(x1) -> x1
260.82/85.97	  , a(a(b(x1))) -> c(c(a(c(x1))))
260.82/85.97	  , c(c(x1)) -> b(a(x1)) }
260.82/85.97	Obligation:
260.82/85.97	  derivational complexity
260.82/85.97	Answer:
260.82/85.97	  MAYBE
260.82/85.97	
260.82/85.97	None of the processors succeeded.
260.82/85.97	
260.82/85.97	Details of failed attempt(s):
260.82/85.97	-----------------------------
260.82/85.97	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
260.82/85.97	   the following reason:
260.82/85.97	   
260.82/85.97	   The weightgap principle applies (using the following nonconstant
260.82/85.97	   growth matrix-interpretation)
260.82/85.97	   
260.82/85.97	   TcT has computed the following triangular matrix interpretation.
260.82/85.97	   Note that the diagonal of the component-wise maxima of
260.82/85.97	   interpretation-entries contains no more than 1 non-zero entries.
260.82/85.97	   
260.82/85.97	     [a](x1) = [1] x1 + [0]
260.82/85.97	                           
260.82/85.97	     [b](x1) = [1] x1 + [1]
260.82/85.97	                           
260.82/85.97	     [c](x1) = [1] x1 + [0]
260.82/85.97	   
260.82/85.97	   The order satisfies the following ordering constraints:
260.82/85.97	   
260.82/85.97	           [a(x1)] =  [1] x1 + [0]    
260.82/85.97	                   >= [1] x1 + [0]    
260.82/85.97	                   =  [x1]            
260.82/85.97	                                      
260.82/85.97	     [a(a(b(x1)))] =  [1] x1 + [1]    
260.82/85.97	                   >  [1] x1 + [0]    
260.82/85.97	                   =  [c(c(a(c(x1))))]
260.82/85.97	                                      
260.82/85.97	        [c(c(x1))] =  [1] x1 + [0]    
260.82/85.97	                   ?  [1] x1 + [1]    
260.82/85.97	                   =  [b(a(x1))]      
260.82/85.97	                                      
260.82/85.97	   
260.82/85.97	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
260.82/85.97	   
260.82/85.97	   We are left with following problem, upon which TcT provides the
260.82/85.97	   certificate MAYBE.
260.82/85.97	   
260.82/85.97	   Strict Trs:
260.82/85.97	     { a(x1) -> x1
260.82/85.97	     , c(c(x1)) -> b(a(x1)) }
260.82/85.97	   Weak Trs: { a(a(b(x1))) -> c(c(a(c(x1)))) }
260.82/85.97	   Obligation:
260.82/85.97	     derivational complexity
260.82/85.97	   Answer:
260.82/85.97	     MAYBE
260.82/85.97	   
260.82/85.97	   The weightgap principle applies (using the following nonconstant
260.82/85.97	   growth matrix-interpretation)
260.82/85.97	   
260.82/85.97	   TcT has computed the following triangular matrix interpretation.
260.82/85.97	   Note that the diagonal of the component-wise maxima of
260.82/85.97	   interpretation-entries contains no more than 1 non-zero entries.
260.82/85.97	   
260.82/85.97	     [a](x1) = [1] x1 + [1]
260.82/85.97	                           
260.82/85.97	     [b](x1) = [1] x1 + [0]
260.82/85.97	                           
260.82/85.97	     [c](x1) = [1] x1 + [0]
260.82/85.97	   
260.82/85.97	   The order satisfies the following ordering constraints:
260.82/85.97	   
260.82/85.97	           [a(x1)] = [1] x1 + [1]    
260.82/85.97	                   > [1] x1 + [0]    
260.82/85.97	                   = [x1]            
260.82/85.97	                                     
260.82/85.97	     [a(a(b(x1)))] = [1] x1 + [2]    
260.82/85.97	                   > [1] x1 + [1]    
260.82/85.97	                   = [c(c(a(c(x1))))]
260.82/85.97	                                     
260.82/85.97	        [c(c(x1))] = [1] x1 + [0]    
260.82/85.97	                   ? [1] x1 + [1]    
260.82/85.97	                   = [b(a(x1))]      
260.82/85.97	                                     
260.82/85.97	   
260.82/85.97	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
260.82/85.97	   
260.82/85.97	   We are left with following problem, upon which TcT provides the
260.82/85.97	   certificate MAYBE.
260.82/85.97	   
260.82/85.97	   Strict Trs: { c(c(x1)) -> b(a(x1)) }
260.82/85.97	   Weak Trs:
260.82/85.97	     { a(x1) -> x1
260.82/85.97	     , a(a(b(x1))) -> c(c(a(c(x1)))) }
260.82/85.97	   Obligation:
260.82/85.97	     derivational complexity
260.82/85.97	   Answer:
260.82/85.97	     MAYBE
260.82/85.97	   
260.82/85.97	   None of the processors succeeded.
260.82/85.97	   
260.82/85.97	   Details of failed attempt(s):
260.82/85.97	   -----------------------------
260.82/85.97	   1) 'empty' failed due to the following reason:
260.82/85.97	      
260.82/85.97	      Empty strict component of the problem is NOT empty.
260.82/85.97	   
260.82/85.97	   2) 'Fastest' failed due to the following reason:
260.82/85.97	      
260.82/85.97	      None of the processors succeeded.
260.82/85.97	      
260.82/85.97	      Details of failed attempt(s):
260.82/85.97	      -----------------------------
260.82/85.97	      1) 'Fastest' failed due to the following reason:
260.82/85.97	         
260.82/85.97	         None of the processors succeeded.
260.82/85.97	         
260.82/85.97	         Details of failed attempt(s):
260.82/85.97	         -----------------------------
260.82/85.97	         1) 'matrix interpretation of dimension 6' failed due to the
260.82/85.97	            following reason:
260.82/85.97	            
260.82/85.97	            The input cannot be shown compatible
260.82/85.97	         
260.82/85.97	         2) 'matrix interpretation of dimension 5' failed due to the
260.82/85.97	            following reason:
260.82/85.97	            
260.82/85.97	            The input cannot be shown compatible
260.82/85.97	         
260.82/85.97	         3) 'matrix interpretation of dimension 4' failed due to the
260.82/85.97	            following reason:
260.82/85.97	            
260.82/85.97	            The input cannot be shown compatible
260.82/85.97	         
260.82/85.97	         4) 'matrix interpretation of dimension 3' failed due to the
260.82/85.97	            following reason:
260.82/85.97	            
260.82/85.97	            The input cannot be shown compatible
260.82/85.97	         
260.82/85.97	         5) 'matrix interpretation of dimension 2' failed due to the
260.82/85.97	            following reason:
260.82/85.97	            
260.82/85.97	            The input cannot be shown compatible
260.82/85.97	         
260.82/85.97	         6) 'matrix interpretation of dimension 1' failed due to the
260.82/85.97	            following reason:
260.82/85.97	            
260.82/85.97	            The input cannot be shown compatible
260.82/85.97	         
260.82/85.97	      
260.82/85.97	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
260.82/85.97	         reason:
260.82/85.97	         
260.82/85.97	         Computation stopped due to timeout after 30.0 seconds.
260.82/85.97	      
260.82/85.97	      3) 'iteProgress' failed due to the following reason:
260.82/85.97	         
260.82/85.97	         Fail
260.82/85.97	      
260.82/85.97	      4) 'bsearch-matrix' failed due to the following reason:
260.82/85.97	         
260.82/85.97	         The input cannot be shown compatible
260.82/85.97	      
260.82/85.97	   
260.82/85.97	
260.82/85.97	2) 'Fastest (timeout of 60 seconds)' failed due to the following
260.82/85.97	   reason:
260.82/85.97	   
260.82/85.97	   Computation stopped due to timeout after 60.0 seconds.
260.82/85.97	
260.82/85.97	3) 'iteProgress (timeout of 297 seconds)' failed due to the
260.82/85.97	   following reason:
260.82/85.97	   
260.82/85.97	   Fail
260.82/85.97	
260.82/85.97	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
260.82/85.97	   following reason:
260.82/85.97	   
260.82/85.97	   The input cannot be shown compatible
260.82/85.97	
260.82/85.97	
260.82/85.97	Arrrr..
260.93/86.00	EOF