MAYBE
540.05/187.53	MAYBE
540.05/187.53	
540.05/187.53	We are left with following problem, upon which TcT provides the
540.05/187.53	certificate MAYBE.
540.05/187.53	
540.05/187.53	Strict Trs:
540.05/187.53	  { a(x1) -> x1
540.05/187.53	  , a(x1) -> b(x1)
540.05/187.53	  , b(b(c(x1))) -> a(c(c(c(a(a(x1)))))) }
540.05/187.53	Obligation:
540.05/187.53	  derivational complexity
540.05/187.53	Answer:
540.05/187.53	  MAYBE
540.05/187.53	
540.05/187.53	None of the processors succeeded.
540.05/187.53	
540.05/187.53	Details of failed attempt(s):
540.05/187.53	-----------------------------
540.05/187.53	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
540.05/187.53	   the following reason:
540.05/187.53	   
540.05/187.53	   The weightgap principle applies (using the following nonconstant
540.05/187.53	   growth matrix-interpretation)
540.05/187.53	   
540.05/187.53	   TcT has computed the following triangular matrix interpretation.
540.05/187.53	   Note that the diagonal of the component-wise maxima of
540.05/187.53	   interpretation-entries contains no more than 1 non-zero entries.
540.05/187.53	   
540.05/187.53	     [a](x1) = [1] x1 + [0]
540.05/187.53	                           
540.05/187.53	     [b](x1) = [1] x1 + [2]
540.05/187.53	                           
540.05/187.53	     [c](x1) = [1] x1 + [0]
540.05/187.53	   
540.05/187.53	   The order satisfies the following ordering constraints:
540.05/187.53	   
540.05/187.53	           [a(x1)] =  [1] x1 + [0]          
540.05/187.53	                   >= [1] x1 + [0]          
540.05/187.53	                   =  [x1]                  
540.05/187.53	                                            
540.05/187.53	           [a(x1)] =  [1] x1 + [0]          
540.05/187.53	                   ?  [1] x1 + [2]          
540.05/187.53	                   =  [b(x1)]               
540.05/187.53	                                            
540.05/187.53	     [b(b(c(x1)))] =  [1] x1 + [4]          
540.05/187.53	                   >  [1] x1 + [0]          
540.05/187.53	                   =  [a(c(c(c(a(a(x1))))))]
540.05/187.53	                                            
540.05/187.53	   
540.05/187.53	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
540.05/187.53	   
540.05/187.53	   We are left with following problem, upon which TcT provides the
540.05/187.53	   certificate MAYBE.
540.05/187.53	   
540.05/187.53	   Strict Trs:
540.05/187.53	     { a(x1) -> x1
540.05/187.53	     , a(x1) -> b(x1) }
540.05/187.53	   Weak Trs: { b(b(c(x1))) -> a(c(c(c(a(a(x1)))))) }
540.05/187.53	   Obligation:
540.05/187.53	     derivational complexity
540.05/187.53	   Answer:
540.05/187.53	     MAYBE
540.05/187.53	   
540.05/187.53	   The weightgap principle applies (using the following nonconstant
540.05/187.53	   growth matrix-interpretation)
540.05/187.53	   
540.05/187.53	   TcT has computed the following triangular matrix interpretation.
540.05/187.53	   Note that the diagonal of the component-wise maxima of
540.05/187.53	   interpretation-entries contains no more than 1 non-zero entries.
540.05/187.53	   
540.05/187.53	     [a](x1) = [1] x1 + [1]
540.05/187.53	                           
540.05/187.53	     [b](x1) = [1] x1 + [2]
540.05/187.53	                           
540.05/187.53	     [c](x1) = [1] x1 + [0]
540.05/187.53	   
540.05/187.53	   The order satisfies the following ordering constraints:
540.05/187.53	   
540.05/187.53	           [a(x1)] = [1] x1 + [1]          
540.05/187.53	                   > [1] x1 + [0]          
540.05/187.53	                   = [x1]                  
540.05/187.53	                                           
540.05/187.53	           [a(x1)] = [1] x1 + [1]          
540.05/187.53	                   ? [1] x1 + [2]          
540.05/187.53	                   = [b(x1)]               
540.05/187.53	                                           
540.05/187.53	     [b(b(c(x1)))] = [1] x1 + [4]          
540.05/187.53	                   > [1] x1 + [3]          
540.05/187.53	                   = [a(c(c(c(a(a(x1))))))]
540.05/187.53	                                           
540.05/187.53	   
540.05/187.53	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
540.05/187.53	   
540.05/187.53	   We are left with following problem, upon which TcT provides the
540.05/187.53	   certificate MAYBE.
540.05/187.53	   
540.05/187.53	   Strict Trs: { a(x1) -> b(x1) }
540.05/187.53	   Weak Trs:
540.05/187.53	     { a(x1) -> x1
540.05/187.53	     , b(b(c(x1))) -> a(c(c(c(a(a(x1)))))) }
540.05/187.53	   Obligation:
540.05/187.53	     derivational complexity
540.05/187.53	   Answer:
540.05/187.53	     MAYBE
540.05/187.53	   
540.05/187.53	   None of the processors succeeded.
540.05/187.53	   
540.05/187.53	   Details of failed attempt(s):
540.05/187.53	   -----------------------------
540.05/187.53	   1) 'empty' failed due to the following reason:
540.05/187.53	      
540.05/187.53	      Empty strict component of the problem is NOT empty.
540.05/187.53	   
540.05/187.53	   2) 'Fastest' failed due to the following reason:
540.05/187.53	      
540.05/187.53	      None of the processors succeeded.
540.05/187.53	      
540.05/187.53	      Details of failed attempt(s):
540.05/187.53	      -----------------------------
540.05/187.53	      1) 'bsearch-matrix' failed due to the following reason:
540.05/187.53	         
540.05/187.53	         The input cannot be shown compatible
540.05/187.53	      
540.05/187.53	      2) 'iteProgress' failed due to the following reason:
540.05/187.53	         
540.05/187.53	         Fail
540.05/187.53	      
540.05/187.53	      3) 'Fastest' failed due to the following reason:
540.05/187.53	         
540.05/187.53	         None of the processors succeeded.
540.05/187.53	         
540.05/187.53	         Details of failed attempt(s):
540.05/187.53	         -----------------------------
540.05/187.53	         1) 'matrix interpretation of dimension 6' failed due to the
540.05/187.53	            following reason:
540.05/187.53	            
540.05/187.53	            The input cannot be shown compatible
540.05/187.53	         
540.05/187.53	         2) 'matrix interpretation of dimension 5' failed due to the
540.05/187.53	            following reason:
540.05/187.53	            
540.05/187.53	            The input cannot be shown compatible
540.05/187.53	         
540.05/187.53	         3) 'matrix interpretation of dimension 4' failed due to the
540.05/187.53	            following reason:
540.05/187.53	            
540.05/187.53	            The input cannot be shown compatible
540.05/187.53	         
540.05/187.53	         4) 'matrix interpretation of dimension 3' failed due to the
540.05/187.53	            following reason:
540.05/187.53	            
540.05/187.53	            The input cannot be shown compatible
540.05/187.53	         
540.05/187.53	         5) 'matrix interpretation of dimension 2' failed due to the
540.05/187.53	            following reason:
540.05/187.53	            
540.05/187.53	            The input cannot be shown compatible
540.05/187.53	         
540.05/187.53	         6) 'matrix interpretation of dimension 1' failed due to the
540.05/187.53	            following reason:
540.05/187.53	            
540.05/187.53	            The input cannot be shown compatible
540.05/187.53	         
540.05/187.53	      
540.05/187.53	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
540.05/187.53	         reason:
540.05/187.53	         
540.05/187.53	         Computation stopped due to timeout after 30.0 seconds.
540.05/187.53	      
540.05/187.53	   
540.05/187.53	
540.05/187.53	2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
540.05/187.53	   following reason:
540.05/187.53	   
540.05/187.53	   The input cannot be shown compatible
540.05/187.53	
540.05/187.53	3) 'iteProgress (timeout of 297 seconds)' failed due to the
540.05/187.53	   following reason:
540.05/187.53	   
540.05/187.53	   Fail
540.05/187.53	
540.05/187.53	4) 'Fastest (timeout of 60 seconds)' failed due to the following
540.05/187.53	   reason:
540.05/187.53	   
540.05/187.53	   Computation stopped due to timeout after 60.0 seconds.
540.05/187.53	
540.05/187.53	
540.05/187.53	Arrrr..
540.05/187.59	EOF