MAYBE
433.09/153.23	MAYBE
433.09/153.23	
433.09/153.23	We are left with following problem, upon which TcT provides the
433.09/153.23	certificate MAYBE.
433.09/153.23	
433.09/153.23	Strict Trs:
433.09/153.23	  { a(x1) -> x1
433.09/153.23	  , a(b(x1)) -> b(a(c(b(a(a(x1))))))
433.09/153.23	  , b(x1) -> x1
433.09/153.23	  , c(c(x1)) -> x1 }
433.09/153.23	Obligation:
433.09/153.23	  derivational complexity
433.09/153.23	Answer:
433.09/153.23	  MAYBE
433.09/153.23	
433.09/153.23	None of the processors succeeded.
433.09/153.23	
433.09/153.23	Details of failed attempt(s):
433.09/153.23	-----------------------------
433.09/153.23	1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
433.09/153.23	   the following reason:
433.09/153.23	   
433.09/153.23	   The weightgap principle applies (using the following nonconstant
433.09/153.23	   growth matrix-interpretation)
433.09/153.23	   
433.09/153.23	   TcT has computed the following triangular matrix interpretation.
433.09/153.23	   Note that the diagonal of the component-wise maxima of
433.09/153.23	   interpretation-entries contains no more than 1 non-zero entries.
433.09/153.23	   
433.09/153.23	     [a](x1) = [1] x1 + [0]
433.09/153.23	                           
433.09/153.23	     [b](x1) = [1] x1 + [0]
433.09/153.23	                           
433.09/153.23	     [c](x1) = [1] x1 + [1]
433.09/153.23	   
433.09/153.23	   The order satisfies the following ordering constraints:
433.09/153.23	   
433.09/153.23	        [a(x1)] =  [1] x1 + [0]          
433.09/153.23	                >= [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	     [a(b(x1))] =  [1] x1 + [0]          
433.09/153.23	                ?  [1] x1 + [1]          
433.09/153.23	                =  [b(a(c(b(a(a(x1))))))]
433.09/153.23	                                         
433.09/153.23	        [b(x1)] =  [1] x1 + [0]          
433.09/153.23	                >= [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	     [c(c(x1))] =  [1] x1 + [2]          
433.09/153.23	                >  [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	   
433.09/153.23	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
433.09/153.23	   
433.09/153.23	   We are left with following problem, upon which TcT provides the
433.09/153.23	   certificate MAYBE.
433.09/153.23	   
433.09/153.23	   Strict Trs:
433.09/153.23	     { a(x1) -> x1
433.09/153.23	     , a(b(x1)) -> b(a(c(b(a(a(x1))))))
433.09/153.23	     , b(x1) -> x1 }
433.09/153.23	   Weak Trs: { c(c(x1)) -> x1 }
433.09/153.23	   Obligation:
433.09/153.23	     derivational complexity
433.09/153.23	   Answer:
433.09/153.23	     MAYBE
433.09/153.23	   
433.09/153.23	   The weightgap principle applies (using the following nonconstant
433.09/153.23	   growth matrix-interpretation)
433.09/153.23	   
433.09/153.23	   TcT has computed the following triangular matrix interpretation.
433.09/153.23	   Note that the diagonal of the component-wise maxima of
433.09/153.23	   interpretation-entries contains no more than 1 non-zero entries.
433.09/153.23	   
433.09/153.23	     [a](x1) = [1] x1 + [1]
433.09/153.23	                           
433.09/153.23	     [b](x1) = [1] x1 + [0]
433.09/153.23	                           
433.09/153.23	     [c](x1) = [1] x1 + [2]
433.09/153.23	   
433.09/153.23	   The order satisfies the following ordering constraints:
433.09/153.23	   
433.09/153.23	        [a(x1)] =  [1] x1 + [1]          
433.09/153.23	                >  [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	     [a(b(x1))] =  [1] x1 + [1]          
433.09/153.23	                ?  [1] x1 + [5]          
433.09/153.23	                =  [b(a(c(b(a(a(x1))))))]
433.09/153.23	                                         
433.09/153.23	        [b(x1)] =  [1] x1 + [0]          
433.09/153.23	                >= [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	     [c(c(x1))] =  [1] x1 + [4]          
433.09/153.23	                >  [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	   
433.09/153.23	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
433.09/153.23	   
433.09/153.23	   We are left with following problem, upon which TcT provides the
433.09/153.23	   certificate MAYBE.
433.09/153.23	   
433.09/153.23	   Strict Trs:
433.09/153.23	     { a(b(x1)) -> b(a(c(b(a(a(x1))))))
433.09/153.23	     , b(x1) -> x1 }
433.09/153.23	   Weak Trs:
433.09/153.23	     { a(x1) -> x1
433.09/153.23	     , c(c(x1)) -> x1 }
433.09/153.23	   Obligation:
433.09/153.23	     derivational complexity
433.09/153.23	   Answer:
433.09/153.23	     MAYBE
433.09/153.23	   
433.09/153.23	   The weightgap principle applies (using the following nonconstant
433.09/153.23	   growth matrix-interpretation)
433.09/153.23	   
433.09/153.23	   TcT has computed the following triangular matrix interpretation.
433.09/153.23	   Note that the diagonal of the component-wise maxima of
433.09/153.23	   interpretation-entries contains no more than 1 non-zero entries.
433.09/153.23	   
433.09/153.23	     [a](x1) = [1] x1 + [0]
433.09/153.23	                           
433.09/153.23	     [b](x1) = [1] x1 + [1]
433.09/153.23	                           
433.09/153.23	     [c](x1) = [1] x1 + [1]
433.09/153.23	   
433.09/153.23	   The order satisfies the following ordering constraints:
433.09/153.23	   
433.09/153.23	        [a(x1)] =  [1] x1 + [0]          
433.09/153.23	                >= [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	     [a(b(x1))] =  [1] x1 + [1]          
433.09/153.23	                ?  [1] x1 + [3]          
433.09/153.23	                =  [b(a(c(b(a(a(x1))))))]
433.09/153.23	                                         
433.09/153.23	        [b(x1)] =  [1] x1 + [1]          
433.09/153.23	                >  [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	     [c(c(x1))] =  [1] x1 + [2]          
433.09/153.23	                >  [1] x1 + [0]          
433.09/153.23	                =  [x1]                  
433.09/153.23	                                         
433.09/153.23	   
433.09/153.23	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
433.09/153.23	   
433.09/153.23	   We are left with following problem, upon which TcT provides the
433.09/153.23	   certificate MAYBE.
433.09/153.23	   
433.09/153.23	   Strict Trs: { a(b(x1)) -> b(a(c(b(a(a(x1)))))) }
433.09/153.23	   Weak Trs:
433.09/153.23	     { a(x1) -> x1
433.09/153.23	     , b(x1) -> x1
433.09/153.23	     , c(c(x1)) -> x1 }
433.09/153.23	   Obligation:
433.09/153.23	     derivational complexity
433.09/153.23	   Answer:
433.09/153.23	     MAYBE
433.09/153.23	   
433.09/153.23	   None of the processors succeeded.
433.09/153.23	   
433.09/153.23	   Details of failed attempt(s):
433.09/153.23	   -----------------------------
433.09/153.23	   1) 'empty' failed due to the following reason:
433.09/153.23	      
433.09/153.23	      Empty strict component of the problem is NOT empty.
433.09/153.23	   
433.09/153.23	   2) 'Fastest' failed due to the following reason:
433.09/153.23	      
433.09/153.23	      None of the processors succeeded.
433.09/153.23	      
433.09/153.23	      Details of failed attempt(s):
433.09/153.23	      -----------------------------
433.09/153.23	      1) 'bsearch-matrix' failed due to the following reason:
433.09/153.23	         
433.09/153.23	         The input cannot be shown compatible
433.09/153.23	      
433.09/153.23	      2) 'iteProgress' failed due to the following reason:
433.09/153.23	         
433.09/153.23	         Fail
433.09/153.23	      
433.09/153.23	      3) 'Fastest' failed due to the following reason:
433.09/153.23	         
433.09/153.23	         None of the processors succeeded.
433.09/153.23	         
433.09/153.23	         Details of failed attempt(s):
433.09/153.23	         -----------------------------
433.09/153.23	         1) 'matrix interpretation of dimension 6' failed due to the
433.09/153.23	            following reason:
433.09/153.23	            
433.09/153.23	            The input cannot be shown compatible
433.09/153.23	         
433.09/153.23	         2) 'matrix interpretation of dimension 5' failed due to the
433.09/153.23	            following reason:
433.09/153.23	            
433.09/153.23	            The input cannot be shown compatible
433.09/153.23	         
433.09/153.23	         3) 'matrix interpretation of dimension 4' failed due to the
433.09/153.23	            following reason:
433.09/153.23	            
433.09/153.23	            The input cannot be shown compatible
433.09/153.23	         
433.09/153.23	         4) 'matrix interpretation of dimension 3' failed due to the
433.09/153.23	            following reason:
433.09/153.23	            
433.09/153.23	            The input cannot be shown compatible
433.09/153.23	         
433.09/153.23	         5) 'matrix interpretation of dimension 2' failed due to the
433.09/153.23	            following reason:
433.09/153.23	            
433.09/153.23	            The input cannot be shown compatible
433.09/153.23	         
433.09/153.23	         6) 'matrix interpretation of dimension 1' failed due to the
433.09/153.23	            following reason:
433.09/153.23	            
433.09/153.23	            The input cannot be shown compatible
433.09/153.23	         
433.09/153.23	      
433.09/153.23	      4) 'Fastest (timeout of 30 seconds)' failed due to the following
433.09/153.23	         reason:
433.09/153.23	         
433.09/153.23	         Computation stopped due to timeout after 30.0 seconds.
433.09/153.23	      
433.09/153.23	   
433.09/153.23	
433.09/153.23	2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
433.09/153.23	   following reason:
433.09/153.23	   
433.09/153.23	   The input cannot be shown compatible
433.09/153.23	
433.09/153.23	3) 'iteProgress (timeout of 297 seconds)' failed due to the
433.09/153.23	   following reason:
433.09/153.23	   
433.09/153.23	   Fail
433.09/153.23	
433.09/153.23	4) 'Fastest (timeout of 60 seconds)' failed due to the following
433.09/153.23	   reason:
433.09/153.23	   
433.09/153.23	   Computation stopped due to timeout after 60.0 seconds.
433.09/153.23	
433.09/153.23	
433.09/153.23	Arrrr..
433.09/153.29	EOF