MAYBE
200.81/60.09	MAYBE
200.81/60.09	
200.81/60.09	We are left with following problem, upon which TcT provides the
200.81/60.09	certificate MAYBE.
200.81/60.09	
200.81/60.09	Strict Trs:
200.81/60.09	  { a(x1) -> x1
200.81/60.09	  , a(x1) -> b(c(x1))
200.81/60.09	  , b(b(x1)) -> x1
200.81/60.09	  , c(c(b(x1))) -> a(a(c(x1))) }
200.81/60.09	Obligation:
200.81/60.09	  derivational complexity
200.81/60.09	Answer:
200.81/60.09	  MAYBE
200.81/60.09	
200.81/60.09	None of the processors succeeded.
200.81/60.09	
200.81/60.09	Details of failed attempt(s):
200.81/60.09	-----------------------------
200.81/60.09	1) 'Fastest (timeout of 60 seconds)' failed due to the following
200.81/60.09	   reason:
200.81/60.09	   
200.81/60.09	   Computation stopped due to timeout after 60.0 seconds.
200.81/60.09	
200.81/60.09	2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
200.81/60.09	   the following reason:
200.81/60.09	   
200.81/60.09	   The weightgap principle applies (using the following nonconstant
200.81/60.09	   growth matrix-interpretation)
200.81/60.09	   
200.81/60.09	   TcT has computed the following triangular matrix interpretation.
200.81/60.09	   Note that the diagonal of the component-wise maxima of
200.81/60.09	   interpretation-entries contains no more than 1 non-zero entries.
200.81/60.09	   
200.81/60.09	     [a](x1) = [1] x1 + [0]
200.81/60.09	                           
200.81/60.09	     [b](x1) = [1] x1 + [1]
200.81/60.09	                           
200.81/60.09	     [c](x1) = [1] x1 + [0]
200.81/60.09	   
200.81/60.09	   The order satisfies the following ordering constraints:
200.81/60.09	   
200.81/60.09	           [a(x1)] =  [1] x1 + [0] 
200.81/60.09	                   >= [1] x1 + [0] 
200.81/60.09	                   =  [x1]         
200.81/60.09	                                   
200.81/60.09	           [a(x1)] =  [1] x1 + [0] 
200.81/60.09	                   ?  [1] x1 + [1] 
200.81/60.09	                   =  [b(c(x1))]   
200.81/60.09	                                   
200.81/60.09	        [b(b(x1))] =  [1] x1 + [2] 
200.81/60.09	                   >  [1] x1 + [0] 
200.81/60.09	                   =  [x1]         
200.81/60.09	                                   
200.81/60.09	     [c(c(b(x1)))] =  [1] x1 + [1] 
200.81/60.09	                   >  [1] x1 + [0] 
200.81/60.09	                   =  [a(a(c(x1)))]
200.81/60.09	                                   
200.81/60.09	   
200.81/60.09	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
200.81/60.09	   
200.81/60.09	   We are left with following problem, upon which TcT provides the
200.81/60.09	   certificate MAYBE.
200.81/60.09	   
200.81/60.09	   Strict Trs:
200.81/60.09	     { a(x1) -> x1
200.81/60.09	     , a(x1) -> b(c(x1)) }
200.81/60.09	   Weak Trs:
200.81/60.09	     { b(b(x1)) -> x1
200.81/60.09	     , c(c(b(x1))) -> a(a(c(x1))) }
200.81/60.09	   Obligation:
200.81/60.09	     derivational complexity
200.81/60.09	   Answer:
200.81/60.09	     MAYBE
200.81/60.09	   
200.81/60.09	   The weightgap principle applies (using the following nonconstant
200.81/60.09	   growth matrix-interpretation)
200.81/60.09	   
200.81/60.09	   TcT has computed the following triangular matrix interpretation.
200.81/60.09	   Note that the diagonal of the component-wise maxima of
200.81/60.09	   interpretation-entries contains no more than 1 non-zero entries.
200.81/60.09	   
200.81/60.09	     [a](x1) = [1] x1 + [1]
200.81/60.09	                           
200.81/60.09	     [b](x1) = [1] x1 + [2]
200.81/60.09	                           
200.81/60.09	     [c](x1) = [1] x1 + [1]
200.81/60.09	   
200.81/60.09	   The order satisfies the following ordering constraints:
200.81/60.09	   
200.81/60.09	           [a(x1)] = [1] x1 + [1] 
200.81/60.09	                   > [1] x1 + [0] 
200.81/60.09	                   = [x1]         
200.81/60.09	                                  
200.81/60.09	           [a(x1)] = [1] x1 + [1] 
200.81/60.09	                   ? [1] x1 + [3] 
200.81/60.09	                   = [b(c(x1))]   
200.81/60.09	                                  
200.81/60.09	        [b(b(x1))] = [1] x1 + [4] 
200.81/60.09	                   > [1] x1 + [0] 
200.81/60.09	                   = [x1]         
200.81/60.09	                                  
200.81/60.09	     [c(c(b(x1)))] = [1] x1 + [4] 
200.81/60.09	                   > [1] x1 + [3] 
200.81/60.09	                   = [a(a(c(x1)))]
200.81/60.09	                                  
200.81/60.09	   
200.81/60.09	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
200.81/60.09	   
200.81/60.09	   We are left with following problem, upon which TcT provides the
200.81/60.09	   certificate MAYBE.
200.81/60.09	   
200.81/60.09	   Strict Trs: { a(x1) -> b(c(x1)) }
200.81/60.09	   Weak Trs:
200.81/60.09	     { a(x1) -> x1
200.81/60.09	     , b(b(x1)) -> x1
200.81/60.09	     , c(c(b(x1))) -> a(a(c(x1))) }
200.81/60.09	   Obligation:
200.81/60.09	     derivational complexity
200.81/60.09	   Answer:
200.81/60.09	     MAYBE
200.81/60.09	   
200.81/60.09	   None of the processors succeeded.
200.81/60.09	   
200.81/60.09	   Details of failed attempt(s):
200.81/60.09	   -----------------------------
200.81/60.09	   1) 'empty' failed due to the following reason:
200.81/60.09	      
200.81/60.09	      Empty strict component of the problem is NOT empty.
200.81/60.09	   
200.81/60.09	   2) 'Fastest' failed due to the following reason:
200.81/60.09	      
200.81/60.09	      None of the processors succeeded.
200.81/60.09	      
200.81/60.09	      Details of failed attempt(s):
200.81/60.09	      -----------------------------
200.81/60.09	      1) 'Fastest (timeout of 30 seconds)' failed due to the following
200.81/60.09	         reason:
200.81/60.09	         
200.81/60.09	         Computation stopped due to timeout after 30.0 seconds.
200.81/60.09	      
200.81/60.09	      2) 'Fastest' failed due to the following reason:
200.81/60.09	         
200.81/60.09	         None of the processors succeeded.
200.81/60.09	         
200.81/60.09	         Details of failed attempt(s):
200.81/60.09	         -----------------------------
200.81/60.09	         1) 'matrix interpretation of dimension 6' failed due to the
200.81/60.09	            following reason:
200.81/60.09	            
200.81/60.09	            The input cannot be shown compatible
200.81/60.09	         
200.81/60.09	         2) 'matrix interpretation of dimension 5' failed due to the
200.81/60.09	            following reason:
200.81/60.09	            
200.81/60.09	            The input cannot be shown compatible
200.81/60.09	         
200.81/60.09	         3) 'matrix interpretation of dimension 4' failed due to the
200.81/60.09	            following reason:
200.81/60.09	            
200.81/60.09	            The input cannot be shown compatible
200.81/60.09	         
200.81/60.09	         4) 'matrix interpretation of dimension 3' failed due to the
200.81/60.09	            following reason:
200.81/60.09	            
200.81/60.09	            The input cannot be shown compatible
200.81/60.09	         
200.81/60.09	         5) 'matrix interpretation of dimension 2' failed due to the
200.81/60.09	            following reason:
200.81/60.09	            
200.81/60.09	            The input cannot be shown compatible
200.81/60.09	         
200.81/60.09	         6) 'matrix interpretation of dimension 1' failed due to the
200.81/60.09	            following reason:
200.81/60.09	            
200.81/60.09	            The input cannot be shown compatible
200.81/60.09	         
200.81/60.09	      
200.81/60.09	      3) 'iteProgress' failed due to the following reason:
200.81/60.09	         
200.81/60.09	         Fail
200.81/60.09	      
200.81/60.09	      4) 'bsearch-matrix' failed due to the following reason:
200.81/60.09	         
200.81/60.09	         The input cannot be shown compatible
200.81/60.09	      
200.81/60.09	   
200.81/60.09	
200.81/60.09	3) 'iteProgress (timeout of 297 seconds)' failed due to the
200.81/60.09	   following reason:
200.81/60.09	   
200.81/60.09	   Fail
200.81/60.09	
200.81/60.09	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
200.81/60.09	   following reason:
200.81/60.09	   
200.81/60.09	   The input cannot be shown compatible
200.81/60.09	
200.81/60.09	
200.81/60.09	Arrrr..
201.12/60.11	EOF