MAYBE
594.37/196.67	MAYBE
594.37/196.67	
594.37/196.67	We are left with following problem, upon which TcT provides the
594.37/196.67	certificate MAYBE.
594.37/196.67	
594.37/196.67	Strict Trs:
594.37/196.67	  { a(x1) -> x1
594.37/196.67	  , a(a(b(x1))) -> b(b(c(a(a(a(x1))))))
594.37/196.67	  , a(c(x1)) -> x1 }
594.37/196.67	Obligation:
594.37/196.67	  derivational complexity
594.37/196.67	Answer:
594.37/196.67	  MAYBE
594.37/196.67	
594.37/196.67	None of the processors succeeded.
594.37/196.67	
594.37/196.67	Details of failed attempt(s):
594.37/196.67	-----------------------------
594.37/196.67	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
594.37/196.67	   the following reason:
594.37/196.67	   
594.37/196.67	   The weightgap principle applies (using the following nonconstant
594.37/196.67	   growth matrix-interpretation)
594.37/196.67	   
594.37/196.67	   TcT has computed the following triangular matrix interpretation.
594.37/196.67	   Note that the diagonal of the component-wise maxima of
594.37/196.67	   interpretation-entries contains no more than 1 non-zero entries.
594.37/196.67	   
594.37/196.67	     [a](x1) = [1] x1 + [0]
594.37/196.67	                           
594.37/196.67	     [b](x1) = [1] x1 + [0]
594.37/196.67	                           
594.37/196.67	     [c](x1) = [1] x1 + [1]
594.37/196.67	   
594.37/196.67	   The order satisfies the following ordering constraints:
594.37/196.67	   
594.37/196.67	           [a(x1)] =  [1] x1 + [0]          
594.37/196.67	                   >= [1] x1 + [0]          
594.37/196.67	                   =  [x1]                  
594.37/196.67	                                            
594.37/196.67	     [a(a(b(x1)))] =  [1] x1 + [0]          
594.37/196.67	                   ?  [1] x1 + [1]          
594.37/196.67	                   =  [b(b(c(a(a(a(x1))))))]
594.37/196.67	                                            
594.37/196.67	        [a(c(x1))] =  [1] x1 + [1]          
594.37/196.67	                   >  [1] x1 + [0]          
594.37/196.67	                   =  [x1]                  
594.37/196.67	                                            
594.37/196.67	   
594.37/196.67	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
594.37/196.67	   
594.37/196.67	   We are left with following problem, upon which TcT provides the
594.37/196.67	   certificate MAYBE.
594.37/196.67	   
594.37/196.67	   Strict Trs:
594.37/196.67	     { a(x1) -> x1
594.37/196.67	     , a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) }
594.37/196.67	   Weak Trs: { a(c(x1)) -> x1 }
594.37/196.67	   Obligation:
594.37/196.67	     derivational complexity
594.37/196.67	   Answer:
594.37/196.67	     MAYBE
594.37/196.67	   
594.37/196.67	   The weightgap principle applies (using the following nonconstant
594.37/196.67	   growth matrix-interpretation)
594.37/196.67	   
594.37/196.67	   TcT has computed the following triangular matrix interpretation.
594.37/196.67	   Note that the diagonal of the component-wise maxima of
594.37/196.67	   interpretation-entries contains no more than 1 non-zero entries.
594.37/196.67	   
594.37/196.67	     [a](x1) = [1] x1 + [2]
594.37/196.67	                           
594.37/196.67	     [b](x1) = [1] x1 + [0]
594.37/196.67	                           
594.37/196.67	     [c](x1) = [1] x1 + [0]
594.37/196.67	   
594.37/196.67	   The order satisfies the following ordering constraints:
594.37/196.67	   
594.37/196.67	           [a(x1)] = [1] x1 + [2]          
594.37/196.67	                   > [1] x1 + [0]          
594.37/196.67	                   = [x1]                  
594.37/196.67	                                           
594.37/196.67	     [a(a(b(x1)))] = [1] x1 + [4]          
594.37/196.67	                   ? [1] x1 + [6]          
594.37/196.67	                   = [b(b(c(a(a(a(x1))))))]
594.37/196.67	                                           
594.37/196.67	        [a(c(x1))] = [1] x1 + [2]          
594.37/196.67	                   > [1] x1 + [0]          
594.37/196.67	                   = [x1]                  
594.37/196.67	                                           
594.37/196.67	   
594.37/196.67	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
594.37/196.67	   
594.37/196.67	   We are left with following problem, upon which TcT provides the
594.37/196.67	   certificate MAYBE.
594.37/196.67	   
594.37/196.67	   Strict Trs: { a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) }
594.37/196.67	   Weak Trs:
594.37/196.67	     { a(x1) -> x1
594.37/196.67	     , a(c(x1)) -> x1 }
594.37/196.67	   Obligation:
594.37/196.67	     derivational complexity
594.37/196.67	   Answer:
594.37/196.67	     MAYBE
594.37/196.67	   
594.37/196.67	   None of the processors succeeded.
594.37/196.67	   
594.37/196.67	   Details of failed attempt(s):
594.37/196.67	   -----------------------------
594.37/196.67	   1) 'empty' failed due to the following reason:
594.37/196.67	      
594.37/196.67	      Empty strict component of the problem is NOT empty.
594.37/196.67	   
594.37/196.67	   2) 'Fastest' failed due to the following reason:
594.37/196.67	      
594.37/196.67	      None of the processors succeeded.
594.37/196.67	      
594.37/196.67	      Details of failed attempt(s):
594.37/196.67	      -----------------------------
594.37/196.67	      1) 'bsearch-matrix' failed due to the following reason:
594.37/196.67	         
594.37/196.67	         The input cannot be shown compatible
594.37/196.67	      
594.37/196.67	      2) 'Fastest' failed due to the following reason:
594.37/196.67	         
594.37/196.67	         None of the processors succeeded.
594.37/196.67	         
594.37/196.67	         Details of failed attempt(s):
594.37/196.67	         -----------------------------
594.37/196.67	         1) 'matrix interpretation of dimension 6' failed due to the
594.37/196.67	            following reason:
594.37/196.67	            
594.37/196.67	            The input cannot be shown compatible
594.37/196.67	         
594.37/196.67	         2) 'matrix interpretation of dimension 5' failed due to the
594.37/196.67	            following reason:
594.37/196.67	            
594.37/196.67	            The input cannot be shown compatible
594.37/196.67	         
594.37/196.67	         3) 'matrix interpretation of dimension 4' failed due to the
594.37/196.67	            following reason:
594.37/196.67	            
594.37/196.67	            The input cannot be shown compatible
594.37/196.67	         
594.37/196.67	         4) 'matrix interpretation of dimension 3' failed due to the
594.37/196.67	            following reason:
594.37/196.67	            
594.37/196.67	            The input cannot be shown compatible
594.37/196.67	         
594.37/196.67	         5) 'matrix interpretation of dimension 2' failed due to the
594.37/196.67	            following reason:
594.37/196.67	            
594.37/196.67	            The input cannot be shown compatible
594.37/196.67	         
594.37/196.67	         6) 'matrix interpretation of dimension 1' failed due to the
594.37/196.67	            following reason:
594.37/196.67	            
594.37/196.67	            The input cannot be shown compatible
594.37/196.67	         
594.37/196.67	      
594.37/196.67	      3) 'iteProgress' failed due to the following reason:
594.37/196.67	         
594.37/196.67	         Fail
594.37/196.67	      
594.37/196.67	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
594.37/196.67	         reason:
594.37/196.67	         
594.37/196.67	         Computation stopped due to timeout after 30.0 seconds.
594.37/196.67	      
594.37/196.67	   
594.37/196.67	
594.37/196.67	2) 'iteProgress (timeout of 297 seconds)' failed due to the
594.37/196.67	   following reason:
594.37/196.67	   
594.37/196.67	   Fail
594.37/196.67	
594.37/196.67	3) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
594.37/196.67	   following reason:
594.37/196.67	   
594.37/196.67	   The input cannot be shown compatible
594.37/196.67	
594.37/196.67	4) 'Fastest (timeout of 60 seconds)' failed due to the following
594.37/196.67	   reason:
594.37/196.67	   
594.37/196.67	   Computation stopped due to timeout after 60.0 seconds.
594.37/196.67	
594.37/196.67	
594.37/196.67	Arrrr..
594.69/196.74	EOF