MAYBE
462.34/291.64	MAYBE
462.34/291.64	
462.34/291.64	We are left with following problem, upon which TcT provides the
462.34/291.64	certificate MAYBE.
462.34/291.64	
462.34/291.64	Strict Trs:
462.34/291.64	  { a(x1) -> x1
462.34/291.64	  , a(b(x1)) -> b(c(x1))
462.34/291.64	  , c(c(x1)) -> b(a(c(a(a(x1))))) }
462.34/291.64	Obligation:
462.34/291.64	  derivational complexity
462.34/291.64	Answer:
462.34/291.64	  MAYBE
462.34/291.64	
462.34/291.64	None of the processors succeeded.
462.34/291.64	
462.34/291.64	Details of failed attempt(s):
462.34/291.64	-----------------------------
462.34/291.64	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
462.34/291.64	   the following reason:
462.34/291.64	   
462.34/291.64	   The weightgap principle applies (using the following nonconstant
462.34/291.64	   growth matrix-interpretation)
462.34/291.64	   
462.34/291.64	   TcT has computed the following triangular matrix interpretation.
462.34/291.64	   Note that the diagonal of the component-wise maxima of
462.34/291.64	   interpretation-entries contains no more than 1 non-zero entries.
462.34/291.64	   
462.34/291.64	     [a](x1) = [1] x1 + [1]
462.34/291.64	                           
462.34/291.64	     [b](x1) = [1] x1 + [2]
462.34/291.64	                           
462.34/291.64	     [c](x1) = [1] x1 + [1]
462.34/291.64	   
462.34/291.64	   The order satisfies the following ordering constraints:
462.34/291.64	   
462.34/291.64	        [a(x1)] =  [1] x1 + [1]       
462.34/291.64	                >  [1] x1 + [0]       
462.34/291.64	                =  [x1]               
462.34/291.64	                                      
462.34/291.64	     [a(b(x1))] =  [1] x1 + [3]       
462.34/291.64	                >= [1] x1 + [3]       
462.34/291.64	                =  [b(c(x1))]         
462.34/291.64	                                      
462.34/291.64	     [c(c(x1))] =  [1] x1 + [2]       
462.34/291.64	                ?  [1] x1 + [6]       
462.34/291.64	                =  [b(a(c(a(a(x1)))))]
462.34/291.64	                                      
462.34/291.64	   
462.34/291.64	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
462.34/291.64	   
462.34/291.64	   We are left with following problem, upon which TcT provides the
462.34/291.64	   certificate MAYBE.
462.34/291.64	   
462.34/291.64	   Strict Trs:
462.34/291.64	     { a(b(x1)) -> b(c(x1))
462.34/291.64	     , c(c(x1)) -> b(a(c(a(a(x1))))) }
462.34/291.64	   Weak Trs: { a(x1) -> x1 }
462.34/291.64	   Obligation:
462.34/291.64	     derivational complexity
462.34/291.64	   Answer:
462.34/291.64	     MAYBE
462.34/291.64	   
462.34/291.64	   The weightgap principle applies (using the following nonconstant
462.34/291.64	   growth matrix-interpretation)
462.34/291.64	   
462.34/291.64	   TcT has computed the following triangular matrix interpretation.
462.34/291.64	   Note that the diagonal of the component-wise maxima of
462.34/291.64	   interpretation-entries contains no more than 1 non-zero entries.
462.34/291.64	   
462.34/291.64	     [a](x1) = [1] x1 + [1]
462.34/291.64	                           
462.34/291.64	     [b](x1) = [1] x1 + [0]
462.34/291.64	                           
462.34/291.64	     [c](x1) = [1] x1 + [0]
462.34/291.64	   
462.34/291.64	   The order satisfies the following ordering constraints:
462.34/291.64	   
462.34/291.64	        [a(x1)] = [1] x1 + [1]       
462.34/291.64	                > [1] x1 + [0]       
462.34/291.64	                = [x1]               
462.34/291.64	                                     
462.34/291.64	     [a(b(x1))] = [1] x1 + [1]       
462.34/291.64	                > [1] x1 + [0]       
462.34/291.64	                = [b(c(x1))]         
462.34/291.64	                                     
462.34/291.64	     [c(c(x1))] = [1] x1 + [0]       
462.34/291.64	                ? [1] x1 + [3]       
462.34/291.64	                = [b(a(c(a(a(x1)))))]
462.34/291.64	                                     
462.34/291.64	   
462.34/291.64	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
462.34/291.64	   
462.34/291.64	   We are left with following problem, upon which TcT provides the
462.34/291.64	   certificate MAYBE.
462.34/291.64	   
462.34/291.64	   Strict Trs: { c(c(x1)) -> b(a(c(a(a(x1))))) }
462.34/291.64	   Weak Trs:
462.34/291.64	     { a(x1) -> x1
462.34/291.64	     , a(b(x1)) -> b(c(x1)) }
462.34/291.64	   Obligation:
462.34/291.64	     derivational complexity
462.34/291.64	   Answer:
462.34/291.64	     MAYBE
462.34/291.64	   
462.34/291.64	   None of the processors succeeded.
462.34/291.64	   
462.34/291.64	   Details of failed attempt(s):
462.34/291.64	   -----------------------------
462.34/291.64	   1) 'empty' failed due to the following reason:
462.34/291.64	      
462.34/291.64	      Empty strict component of the problem is NOT empty.
462.34/291.64	   
462.34/291.64	   2) 'Fastest' failed due to the following reason:
462.34/291.64	      
462.34/291.64	      None of the processors succeeded.
462.34/291.64	      
462.34/291.64	      Details of failed attempt(s):
462.34/291.64	      -----------------------------
462.34/291.64	      1) 'Fastest' failed due to the following reason:
462.34/291.64	         
462.34/291.64	         None of the processors succeeded.
462.34/291.64	         
462.34/291.64	         Details of failed attempt(s):
462.34/291.64	         -----------------------------
462.34/291.64	         1) 'matrix interpretation of dimension 6' failed due to the
462.34/291.64	            following reason:
462.34/291.64	            
462.34/291.64	            The input cannot be shown compatible
462.34/291.64	         
462.34/291.64	         2) 'matrix interpretation of dimension 5' failed due to the
462.34/291.64	            following reason:
462.34/291.64	            
462.34/291.64	            The input cannot be shown compatible
462.34/291.64	         
462.34/291.64	         3) 'matrix interpretation of dimension 4' failed due to the
462.34/291.64	            following reason:
462.34/291.64	            
462.34/291.64	            The input cannot be shown compatible
462.34/291.64	         
462.34/291.64	         4) 'matrix interpretation of dimension 3' failed due to the
462.34/291.64	            following reason:
462.34/291.64	            
462.34/291.64	            The input cannot be shown compatible
462.34/291.64	         
462.34/291.64	         5) 'matrix interpretation of dimension 2' failed due to the
462.34/291.64	            following reason:
462.34/291.64	            
462.34/291.64	            The input cannot be shown compatible
462.34/291.64	         
462.34/291.64	         6) 'matrix interpretation of dimension 1' failed due to the
462.34/291.64	            following reason:
462.34/291.64	            
462.34/291.64	            The input cannot be shown compatible
462.34/291.64	         
462.34/291.64	      
462.34/291.64	      2) 'bsearch-matrix' failed due to the following reason:
462.34/291.64	         
462.34/291.64	         The input cannot be shown compatible
462.34/291.64	      
462.34/291.64	      3) 'iteProgress' failed due to the following reason:
462.34/291.64	         
462.34/291.64	         Fail
462.34/291.64	      
462.34/291.64	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
462.34/291.64	         reason:
462.34/291.64	         
462.34/291.64	         Computation stopped due to timeout after 30.0 seconds.
462.34/291.64	      
462.34/291.64	   
462.34/291.64	
462.34/291.64	2) 'Fastest (timeout of 60 seconds)' failed due to the following
462.34/291.64	   reason:
462.34/291.64	   
462.34/291.64	   Computation stopped due to timeout after 60.0 seconds.
462.34/291.64	
462.34/291.64	3) 'iteProgress (timeout of 297 seconds)' failed due to the
462.34/291.64	   following reason:
462.34/291.64	   
462.34/291.64	   Fail
462.34/291.64	
462.34/291.64	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
462.34/291.64	   following reason:
462.34/291.64	   
462.34/291.64	   The input cannot be shown compatible
462.34/291.64	
462.34/291.64	
462.34/291.64	Arrrr..
462.34/291.66	EOF