MAYBE
299.04/131.75	MAYBE
299.04/131.75	
299.04/131.75	We are left with following problem, upon which TcT provides the
299.04/131.75	certificate MAYBE.
299.04/131.75	
299.04/131.75	Strict Trs:
299.04/131.75	  { a(x1) -> b(b(c(x1)))
299.04/131.75	  , c(b(b(x1))) -> a(b(c(x1)))
299.04/131.75	  , c(c(x1)) -> x1 }
299.04/131.75	Obligation:
299.04/131.75	  derivational complexity
299.04/131.75	Answer:
299.04/131.75	  MAYBE
299.04/131.75	
299.04/131.75	None of the processors succeeded.
299.04/131.75	
299.04/131.75	Details of failed attempt(s):
299.04/131.75	-----------------------------
299.04/131.75	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
299.04/131.75	   the following reason:
299.04/131.75	   
299.04/131.75	   The weightgap principle applies (using the following nonconstant
299.04/131.75	   growth matrix-interpretation)
299.04/131.75	   
299.04/131.75	   TcT has computed the following triangular matrix interpretation.
299.04/131.75	   Note that the diagonal of the component-wise maxima of
299.04/131.75	   interpretation-entries contains no more than 1 non-zero entries.
299.04/131.75	   
299.04/131.75	     [a](x1) = [1] x1 + [1]
299.04/131.75	                           
299.04/131.75	     [b](x1) = [1] x1 + [0]
299.04/131.75	                           
299.04/131.75	     [c](x1) = [1] x1 + [0]
299.04/131.75	   
299.04/131.75	   The order satisfies the following ordering constraints:
299.04/131.75	   
299.04/131.75	           [a(x1)] =  [1] x1 + [1] 
299.04/131.75	                   >  [1] x1 + [0] 
299.04/131.75	                   =  [b(b(c(x1)))]
299.04/131.75	                                   
299.04/131.75	     [c(b(b(x1)))] =  [1] x1 + [0] 
299.04/131.75	                   ?  [1] x1 + [1] 
299.04/131.75	                   =  [a(b(c(x1)))]
299.04/131.75	                                   
299.04/131.75	        [c(c(x1))] =  [1] x1 + [0] 
299.04/131.75	                   >= [1] x1 + [0] 
299.04/131.75	                   =  [x1]         
299.04/131.75	                                   
299.04/131.75	   
299.04/131.75	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
299.04/131.75	   
299.04/131.75	   We are left with following problem, upon which TcT provides the
299.04/131.75	   certificate MAYBE.
299.04/131.75	   
299.04/131.75	   Strict Trs:
299.04/131.75	     { c(b(b(x1))) -> a(b(c(x1)))
299.04/131.75	     , c(c(x1)) -> x1 }
299.04/131.75	   Weak Trs: { a(x1) -> b(b(c(x1))) }
299.04/131.75	   Obligation:
299.04/131.75	     derivational complexity
299.04/131.75	   Answer:
299.04/131.75	     MAYBE
299.04/131.75	   
299.04/131.75	   The weightgap principle applies (using the following nonconstant
299.04/131.75	   growth matrix-interpretation)
299.04/131.75	   
299.04/131.75	   TcT has computed the following triangular matrix interpretation.
299.04/131.75	   Note that the diagonal of the component-wise maxima of
299.04/131.75	   interpretation-entries contains no more than 1 non-zero entries.
299.04/131.75	   
299.04/131.75	     [a](x1) = [1] x1 + [1]
299.04/131.75	                           
299.04/131.75	     [b](x1) = [1] x1 + [0]
299.04/131.75	                           
299.04/131.75	     [c](x1) = [1] x1 + [1]
299.04/131.75	   
299.04/131.75	   The order satisfies the following ordering constraints:
299.04/131.75	   
299.04/131.75	           [a(x1)] =  [1] x1 + [1] 
299.04/131.75	                   >= [1] x1 + [1] 
299.04/131.75	                   =  [b(b(c(x1)))]
299.04/131.75	                                   
299.04/131.75	     [c(b(b(x1)))] =  [1] x1 + [1] 
299.04/131.75	                   ?  [1] x1 + [2] 
299.04/131.75	                   =  [a(b(c(x1)))]
299.04/131.75	                                   
299.04/131.75	        [c(c(x1))] =  [1] x1 + [2] 
299.04/131.75	                   >  [1] x1 + [0] 
299.04/131.75	                   =  [x1]         
299.04/131.75	                                   
299.04/131.75	   
299.04/131.75	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
299.04/131.75	   
299.04/131.75	   We are left with following problem, upon which TcT provides the
299.04/131.75	   certificate MAYBE.
299.04/131.75	   
299.04/131.75	   Strict Trs: { c(b(b(x1))) -> a(b(c(x1))) }
299.04/131.75	   Weak Trs:
299.04/131.75	     { a(x1) -> b(b(c(x1)))
299.04/131.75	     , c(c(x1)) -> x1 }
299.04/131.75	   Obligation:
299.04/131.75	     derivational complexity
299.04/131.75	   Answer:
299.04/131.75	     MAYBE
299.04/131.75	   
299.04/131.75	   None of the processors succeeded.
299.04/131.75	   
299.04/131.75	   Details of failed attempt(s):
299.04/131.75	   -----------------------------
299.04/131.75	   1) 'empty' failed due to the following reason:
299.04/131.75	      
299.04/131.75	      Empty strict component of the problem is NOT empty.
299.04/131.75	   
299.04/131.75	   2) 'Fastest' failed due to the following reason:
299.04/131.75	      
299.04/131.75	      None of the processors succeeded.
299.04/131.75	      
299.04/131.75	      Details of failed attempt(s):
299.04/131.75	      -----------------------------
299.04/131.75	      1) 'Fastest' failed due to the following reason:
299.04/131.75	         
299.04/131.75	         None of the processors succeeded.
299.04/131.75	         
299.04/131.75	         Details of failed attempt(s):
299.04/131.75	         -----------------------------
299.04/131.75	         1) 'matrix interpretation of dimension 6' failed due to the
299.04/131.75	            following reason:
299.04/131.75	            
299.04/131.75	            The input cannot be shown compatible
299.04/131.75	         
299.04/131.75	         2) 'matrix interpretation of dimension 5' failed due to the
299.04/131.75	            following reason:
299.04/131.75	            
299.04/131.75	            The input cannot be shown compatible
299.04/131.75	         
299.04/131.75	         3) 'matrix interpretation of dimension 4' failed due to the
299.04/131.75	            following reason:
299.04/131.75	            
299.04/131.75	            The input cannot be shown compatible
299.04/131.75	         
299.04/131.75	         4) 'matrix interpretation of dimension 3' failed due to the
299.04/131.75	            following reason:
299.04/131.75	            
299.04/131.75	            The input cannot be shown compatible
299.04/131.75	         
299.04/131.75	         5) 'matrix interpretation of dimension 2' failed due to the
299.04/131.75	            following reason:
299.04/131.75	            
299.04/131.75	            The input cannot be shown compatible
299.04/131.75	         
299.04/131.75	         6) 'matrix interpretation of dimension 1' failed due to the
299.04/131.75	            following reason:
299.04/131.75	            
299.04/131.75	            The input cannot be shown compatible
299.04/131.75	         
299.04/131.75	      
299.04/131.75	      2) 'Fastest (timeout of 30 seconds)' failed due to the following
299.04/131.75	         reason:
299.04/131.75	         
299.04/131.75	         Computation stopped due to timeout after 30.0 seconds.
299.04/131.75	      
299.04/131.75	      3) 'iteProgress' failed due to the following reason:
299.04/131.75	         
299.04/131.75	         Fail
299.04/131.75	      
299.04/131.75	      4) 'bsearch-matrix' failed due to the following reason:
299.04/131.75	         
299.04/131.75	         The input cannot be shown compatible
299.04/131.75	      
299.04/131.75	   
299.04/131.75	
299.04/131.75	2) 'Fastest (timeout of 60 seconds)' failed due to the following
299.04/131.75	   reason:
299.04/131.75	   
299.04/131.75	   Computation stopped due to timeout after 60.0 seconds.
299.04/131.75	
299.04/131.75	3) 'iteProgress (timeout of 297 seconds)' failed due to the
299.04/131.75	   following reason:
299.04/131.75	   
299.04/131.75	   Fail
299.04/131.75	
299.04/131.75	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
299.04/131.75	   following reason:
299.04/131.75	   
299.04/131.75	   The input cannot be shown compatible
299.04/131.75	
299.04/131.75	
299.04/131.75	Arrrr..
299.04/131.76	EOF