MAYBE
453.79/157.44	MAYBE
453.79/157.44	
453.79/157.44	We are left with following problem, upon which TcT provides the
453.79/157.44	certificate MAYBE.
453.79/157.44	
453.79/157.44	Strict Trs:
453.79/157.44	  { a(x1) -> x1
453.79/157.44	  , a(b(x1)) -> a(c(b(b(a(a(x1))))))
453.79/157.44	  , b(x1) -> x1
453.79/157.44	  , c(c(x1)) -> x1 }
453.79/157.44	Obligation:
453.79/157.44	  derivational complexity
453.79/157.44	Answer:
453.79/157.44	  MAYBE
453.79/157.44	
453.79/157.44	None of the processors succeeded.
453.79/157.44	
453.79/157.44	Details of failed attempt(s):
453.79/157.44	-----------------------------
453.79/157.44	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
453.79/157.44	   the following reason:
453.79/157.44	   
453.79/157.44	   The weightgap principle applies (using the following nonconstant
453.79/157.44	   growth matrix-interpretation)
453.79/157.44	   
453.79/157.44	   TcT has computed the following triangular matrix interpretation.
453.79/157.44	   Note that the diagonal of the component-wise maxima of
453.79/157.44	   interpretation-entries contains no more than 1 non-zero entries.
453.79/157.44	   
453.79/157.44	     [a](x1) = [1] x1 + [0]
453.79/157.44	                           
453.79/157.44	     [b](x1) = [1] x1 + [0]
453.79/157.44	                           
453.79/157.44	     [c](x1) = [1] x1 + [2]
453.79/157.44	   
453.79/157.44	   The order satisfies the following ordering constraints:
453.79/157.44	   
453.79/157.44	        [a(x1)] =  [1] x1 + [0]          
453.79/157.44	                >= [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	     [a(b(x1))] =  [1] x1 + [0]          
453.79/157.44	                ?  [1] x1 + [2]          
453.79/157.44	                =  [a(c(b(b(a(a(x1))))))]
453.79/157.44	                                         
453.79/157.44	        [b(x1)] =  [1] x1 + [0]          
453.79/157.44	                >= [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	     [c(c(x1))] =  [1] x1 + [4]          
453.79/157.44	                >  [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	   
453.79/157.44	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
453.79/157.44	   
453.79/157.44	   We are left with following problem, upon which TcT provides the
453.79/157.44	   certificate MAYBE.
453.79/157.44	   
453.79/157.44	   Strict Trs:
453.79/157.44	     { a(x1) -> x1
453.79/157.44	     , a(b(x1)) -> a(c(b(b(a(a(x1))))))
453.79/157.44	     , b(x1) -> x1 }
453.79/157.44	   Weak Trs: { c(c(x1)) -> x1 }
453.79/157.44	   Obligation:
453.79/157.44	     derivational complexity
453.79/157.44	   Answer:
453.79/157.44	     MAYBE
453.79/157.44	   
453.79/157.44	   The weightgap principle applies (using the following nonconstant
453.79/157.44	   growth matrix-interpretation)
453.79/157.44	   
453.79/157.44	   TcT has computed the following triangular matrix interpretation.
453.79/157.44	   Note that the diagonal of the component-wise maxima of
453.79/157.44	   interpretation-entries contains no more than 1 non-zero entries.
453.79/157.44	   
453.79/157.44	     [a](x1) = [1] x1 + [1]
453.79/157.44	                           
453.79/157.44	     [b](x1) = [1] x1 + [0]
453.79/157.44	                           
453.79/157.44	     [c](x1) = [1] x1 + [2]
453.79/157.44	   
453.79/157.44	   The order satisfies the following ordering constraints:
453.79/157.44	   
453.79/157.44	        [a(x1)] =  [1] x1 + [1]          
453.79/157.44	                >  [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	     [a(b(x1))] =  [1] x1 + [1]          
453.79/157.44	                ?  [1] x1 + [5]          
453.79/157.44	                =  [a(c(b(b(a(a(x1))))))]
453.79/157.44	                                         
453.79/157.44	        [b(x1)] =  [1] x1 + [0]          
453.79/157.44	                >= [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	     [c(c(x1))] =  [1] x1 + [4]          
453.79/157.44	                >  [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	   
453.79/157.44	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
453.79/157.44	   
453.79/157.44	   We are left with following problem, upon which TcT provides the
453.79/157.44	   certificate MAYBE.
453.79/157.44	   
453.79/157.44	   Strict Trs:
453.79/157.44	     { a(b(x1)) -> a(c(b(b(a(a(x1))))))
453.79/157.44	     , b(x1) -> x1 }
453.79/157.44	   Weak Trs:
453.79/157.44	     { a(x1) -> x1
453.79/157.44	     , c(c(x1)) -> x1 }
453.79/157.44	   Obligation:
453.79/157.44	     derivational complexity
453.79/157.44	   Answer:
453.79/157.44	     MAYBE
453.79/157.44	   
453.79/157.44	   The weightgap principle applies (using the following nonconstant
453.79/157.44	   growth matrix-interpretation)
453.79/157.44	   
453.79/157.44	   TcT has computed the following triangular matrix interpretation.
453.79/157.44	   Note that the diagonal of the component-wise maxima of
453.79/157.44	   interpretation-entries contains no more than 1 non-zero entries.
453.79/157.44	   
453.79/157.44	     [a](x1) = [1] x1 + [0]
453.79/157.44	                           
453.79/157.44	     [b](x1) = [1] x1 + [1]
453.79/157.44	                           
453.79/157.44	     [c](x1) = [1] x1 + [2]
453.79/157.44	   
453.79/157.44	   The order satisfies the following ordering constraints:
453.79/157.44	   
453.79/157.44	        [a(x1)] =  [1] x1 + [0]          
453.79/157.44	                >= [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	     [a(b(x1))] =  [1] x1 + [1]          
453.79/157.44	                ?  [1] x1 + [4]          
453.79/157.44	                =  [a(c(b(b(a(a(x1))))))]
453.79/157.44	                                         
453.79/157.44	        [b(x1)] =  [1] x1 + [1]          
453.79/157.44	                >  [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	     [c(c(x1))] =  [1] x1 + [4]          
453.79/157.44	                >  [1] x1 + [0]          
453.79/157.44	                =  [x1]                  
453.79/157.44	                                         
453.79/157.44	   
453.79/157.44	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
453.79/157.44	   
453.79/157.44	   We are left with following problem, upon which TcT provides the
453.79/157.44	   certificate MAYBE.
453.79/157.44	   
453.79/157.44	   Strict Trs: { a(b(x1)) -> a(c(b(b(a(a(x1)))))) }
453.79/157.44	   Weak Trs:
453.79/157.44	     { a(x1) -> x1
453.79/157.44	     , b(x1) -> x1
453.79/157.44	     , c(c(x1)) -> x1 }
453.79/157.44	   Obligation:
453.79/157.44	     derivational complexity
453.79/157.44	   Answer:
453.79/157.44	     MAYBE
453.79/157.44	   
453.79/157.44	   None of the processors succeeded.
453.79/157.44	   
453.79/157.44	   Details of failed attempt(s):
453.79/157.44	   -----------------------------
453.79/157.44	   1) 'empty' failed due to the following reason:
453.79/157.44	      
453.79/157.44	      Empty strict component of the problem is NOT empty.
453.79/157.44	   
453.79/157.44	   2) 'Fastest' failed due to the following reason:
453.79/157.44	      
453.79/157.44	      None of the processors succeeded.
453.79/157.44	      
453.79/157.44	      Details of failed attempt(s):
453.79/157.44	      -----------------------------
453.79/157.44	      1) 'bsearch-matrix' failed due to the following reason:
453.79/157.44	         
453.79/157.44	         The input cannot be shown compatible
453.79/157.44	      
453.79/157.44	      2) 'iteProgress' failed due to the following reason:
453.79/157.44	         
453.79/157.44	         Fail
453.79/157.44	      
453.79/157.44	      3) 'Fastest' failed due to the following reason:
453.79/157.44	         
453.79/157.44	         None of the processors succeeded.
453.79/157.44	         
453.79/157.44	         Details of failed attempt(s):
453.79/157.44	         -----------------------------
453.79/157.44	         1) 'matrix interpretation of dimension 6' failed due to the
453.79/157.44	            following reason:
453.79/157.44	            
453.79/157.44	            The input cannot be shown compatible
453.79/157.44	         
453.79/157.44	         2) 'matrix interpretation of dimension 5' failed due to the
453.79/157.44	            following reason:
453.79/157.44	            
453.79/157.44	            The input cannot be shown compatible
453.79/157.44	         
453.79/157.44	         3) 'matrix interpretation of dimension 4' failed due to the
453.79/157.44	            following reason:
453.79/157.44	            
453.79/157.44	            The input cannot be shown compatible
453.79/157.44	         
453.79/157.44	         4) 'matrix interpretation of dimension 3' failed due to the
453.79/157.44	            following reason:
453.79/157.44	            
453.79/157.44	            The input cannot be shown compatible
453.79/157.44	         
453.79/157.44	         5) 'matrix interpretation of dimension 2' failed due to the
453.79/157.44	            following reason:
453.79/157.44	            
453.79/157.44	            The input cannot be shown compatible
453.79/157.44	         
453.79/157.44	         6) 'matrix interpretation of dimension 1' failed due to the
453.79/157.44	            following reason:
453.79/157.44	            
453.79/157.44	            The input cannot be shown compatible
453.79/157.44	         
453.79/157.44	      
453.79/157.44	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
453.79/157.44	         reason:
453.79/157.44	         
453.79/157.44	         Computation stopped due to timeout after 30.0 seconds.
453.79/157.44	      
453.79/157.44	   
453.79/157.44	
453.79/157.44	2) 'iteProgress (timeout of 297 seconds)' failed due to the
453.79/157.44	   following reason:
453.79/157.44	   
453.79/157.44	   Fail
453.79/157.44	
453.79/157.44	3) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
453.79/157.44	   following reason:
453.79/157.44	   
453.79/157.44	   The input cannot be shown compatible
453.79/157.44	
453.79/157.44	4) 'Fastest (timeout of 60 seconds)' failed due to the following
453.79/157.44	   reason:
453.79/157.44	   
453.79/157.44	   Computation stopped due to timeout after 60.0 seconds.
453.79/157.44	
453.79/157.44	
453.79/157.44	Arrrr..
454.00/157.51	EOF