MAYBE
205.34/60.03	MAYBE
205.34/60.03	
205.34/60.03	We are left with following problem, upon which TcT provides the
205.34/60.03	certificate MAYBE.
205.34/60.03	
205.34/60.03	Strict Trs:
205.34/60.03	  { a(x1) -> x1
205.34/60.03	  , a(b(c(x1))) -> c(c(a(b(b(x1)))))
205.34/60.03	  , b(x1) -> a(x1) }
205.34/60.03	Obligation:
205.34/60.03	  derivational complexity
205.34/60.03	Answer:
205.34/60.03	  MAYBE
205.34/60.03	
205.34/60.03	None of the processors succeeded.
205.34/60.03	
205.34/60.03	Details of failed attempt(s):
205.34/60.03	-----------------------------
205.34/60.03	1) 'Fastest (timeout of 60 seconds)' failed due to the following
205.34/60.03	   reason:
205.34/60.03	   
205.34/60.03	   Computation stopped due to timeout after 60.0 seconds.
205.34/60.03	
205.34/60.03	2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
205.34/60.03	   the following reason:
205.34/60.03	   
205.34/60.03	   The weightgap principle applies (using the following nonconstant
205.34/60.03	   growth matrix-interpretation)
205.34/60.03	   
205.34/60.03	   TcT has computed the following triangular matrix interpretation.
205.34/60.03	   Note that the diagonal of the component-wise maxima of
205.34/60.03	   interpretation-entries contains no more than 1 non-zero entries.
205.34/60.03	   
205.34/60.03	     [a](x1) = [1] x1 + [1]
205.34/60.03	                           
205.34/60.03	     [b](x1) = [1] x1 + [0]
205.34/60.03	                           
205.34/60.03	     [c](x1) = [1] x1 + [0]
205.34/60.03	   
205.34/60.03	   The order satisfies the following ordering constraints:
205.34/60.03	   
205.34/60.03	           [a(x1)] =  [1] x1 + [1]       
205.34/60.03	                   >  [1] x1 + [0]       
205.34/60.03	                   =  [x1]               
205.34/60.03	                                         
205.34/60.03	     [a(b(c(x1)))] =  [1] x1 + [1]       
205.34/60.03	                   >= [1] x1 + [1]       
205.34/60.03	                   =  [c(c(a(b(b(x1)))))]
205.34/60.03	                                         
205.34/60.03	           [b(x1)] =  [1] x1 + [0]       
205.34/60.03	                   ?  [1] x1 + [1]       
205.34/60.03	                   =  [a(x1)]            
205.34/60.03	                                         
205.34/60.03	   
205.34/60.03	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
205.34/60.03	   
205.34/60.03	   We are left with following problem, upon which TcT provides the
205.34/60.03	   certificate MAYBE.
205.34/60.03	   
205.34/60.03	   Strict Trs:
205.34/60.03	     { a(b(c(x1))) -> c(c(a(b(b(x1)))))
205.34/60.03	     , b(x1) -> a(x1) }
205.34/60.03	   Weak Trs: { a(x1) -> x1 }
205.34/60.03	   Obligation:
205.34/60.03	     derivational complexity
205.34/60.03	   Answer:
205.34/60.03	     MAYBE
205.34/60.03	   
205.34/60.03	   The weightgap principle applies (using the following nonconstant
205.34/60.03	   growth matrix-interpretation)
205.34/60.03	   
205.34/60.03	   TcT has computed the following triangular matrix interpretation.
205.34/60.03	   Note that the diagonal of the component-wise maxima of
205.34/60.03	   interpretation-entries contains no more than 1 non-zero entries.
205.34/60.03	   
205.34/60.03	     [a](x1) = [1] x1 + [1]
205.34/60.03	                           
205.34/60.03	     [b](x1) = [1] x1 + [2]
205.34/60.03	                           
205.34/60.03	     [c](x1) = [1] x1 + [1]
205.34/60.03	   
205.34/60.03	   The order satisfies the following ordering constraints:
205.34/60.03	   
205.34/60.03	           [a(x1)] = [1] x1 + [1]       
205.34/60.03	                   > [1] x1 + [0]       
205.34/60.03	                   = [x1]               
205.34/60.03	                                        
205.34/60.03	     [a(b(c(x1)))] = [1] x1 + [4]       
205.34/60.03	                   ? [1] x1 + [7]       
205.34/60.03	                   = [c(c(a(b(b(x1)))))]
205.34/60.03	                                        
205.34/60.03	           [b(x1)] = [1] x1 + [2]       
205.34/60.03	                   > [1] x1 + [1]       
205.34/60.03	                   = [a(x1)]            
205.34/60.03	                                        
205.34/60.03	   
205.34/60.03	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
205.34/60.03	   
205.34/60.03	   We are left with following problem, upon which TcT provides the
205.34/60.03	   certificate MAYBE.
205.34/60.03	   
205.34/60.03	   Strict Trs: { a(b(c(x1))) -> c(c(a(b(b(x1))))) }
205.34/60.03	   Weak Trs:
205.34/60.03	     { a(x1) -> x1
205.34/60.03	     , b(x1) -> a(x1) }
205.34/60.03	   Obligation:
205.34/60.03	     derivational complexity
205.34/60.03	   Answer:
205.34/60.03	     MAYBE
205.34/60.03	   
205.34/60.03	   None of the processors succeeded.
205.34/60.03	   
205.34/60.03	   Details of failed attempt(s):
205.34/60.03	   -----------------------------
205.34/60.03	   1) 'empty' failed due to the following reason:
205.34/60.03	      
205.34/60.03	      Empty strict component of the problem is NOT empty.
205.34/60.03	   
205.34/60.03	   2) 'Fastest' failed due to the following reason:
205.34/60.03	      
205.34/60.03	      None of the processors succeeded.
205.34/60.03	      
205.34/60.03	      Details of failed attempt(s):
205.34/60.03	      -----------------------------
205.34/60.03	      1) 'Fastest' failed due to the following reason:
205.34/60.03	         
205.34/60.03	         None of the processors succeeded.
205.34/60.03	         
205.34/60.03	         Details of failed attempt(s):
205.34/60.03	         -----------------------------
205.34/60.03	         1) 'matrix interpretation of dimension 6' failed due to the
205.34/60.03	            following reason:
205.34/60.03	            
205.34/60.03	            The input cannot be shown compatible
205.34/60.03	         
205.34/60.03	         2) 'matrix interpretation of dimension 5' failed due to the
205.34/60.03	            following reason:
205.34/60.03	            
205.34/60.03	            The input cannot be shown compatible
205.34/60.03	         
205.34/60.03	         3) 'matrix interpretation of dimension 4' failed due to the
205.34/60.03	            following reason:
205.34/60.03	            
205.34/60.03	            The input cannot be shown compatible
205.34/60.03	         
205.34/60.03	         4) 'matrix interpretation of dimension 3' failed due to the
205.34/60.03	            following reason:
205.34/60.03	            
205.34/60.03	            The input cannot be shown compatible
205.34/60.03	         
205.34/60.03	         5) 'matrix interpretation of dimension 2' failed due to the
205.34/60.03	            following reason:
205.34/60.03	            
205.34/60.03	            The input cannot be shown compatible
205.34/60.03	         
205.34/60.03	         6) 'matrix interpretation of dimension 1' failed due to the
205.34/60.03	            following reason:
205.34/60.03	            
205.34/60.03	            The input cannot be shown compatible
205.34/60.03	         
205.34/60.03	      
205.34/60.03	      2) 'bsearch-matrix' failed due to the following reason:
205.34/60.03	         
205.34/60.03	         The input cannot be shown compatible
205.34/60.03	      
205.34/60.03	      3) 'Fastest (timeout of 30 seconds)' failed due to the following
205.34/60.03	         reason:
205.34/60.03	         
205.34/60.03	         Computation stopped due to timeout after 30.0 seconds.
205.34/60.03	      
205.34/60.03	      4) 'iteProgress' failed due to the following reason:
205.34/60.03	         
205.34/60.03	         Fail
205.34/60.03	      
205.34/60.03	   
205.34/60.03	
205.34/60.03	3) 'iteProgress (timeout of 297 seconds)' failed due to the
205.34/60.03	   following reason:
205.34/60.03	   
205.34/60.03	   Fail
205.34/60.03	
205.34/60.03	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
205.34/60.03	   following reason:
205.34/60.03	   
205.34/60.03	   The input cannot be shown compatible
205.34/60.03	
205.34/60.03	
205.34/60.03	Arrrr..
205.34/60.04	EOF