MAYBE
164.12/60.04	MAYBE
164.12/60.04	
164.12/60.04	We are left with following problem, upon which TcT provides the
164.12/60.04	certificate MAYBE.
164.12/60.04	
164.12/60.04	Strict Trs:
164.12/60.04	  { plus(s(X), plus(Y, Z)) -> plus(X, plus(s(s(Y)), Z))
164.12/60.04	  , plus(s(X1), plus(X2, plus(X3, X4))) ->
164.12/60.04	    plus(X1, plus(X3, plus(X2, X4))) }
164.12/60.04	Obligation:
164.12/60.04	  derivational complexity
164.12/60.04	Answer:
164.12/60.04	  MAYBE
164.12/60.04	
164.12/60.04	None of the processors succeeded.
164.12/60.04	
164.12/60.04	Details of failed attempt(s):
164.12/60.04	-----------------------------
164.12/60.04	1) 'Fastest (timeout of 60 seconds)' failed due to the following
164.12/60.04	   reason:
164.12/60.04	   
164.12/60.04	   Computation stopped due to timeout after 60.0 seconds.
164.12/60.04	
164.12/60.04	2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
164.12/60.04	   the following reason:
164.12/60.04	   
164.12/60.04	   The weightgap principle applies (using the following nonconstant
164.12/60.04	   growth matrix-interpretation)
164.12/60.04	   
164.12/60.04	   TcT has computed the following triangular matrix interpretation.
164.12/60.04	   Note that the diagonal of the component-wise maxima of
164.12/60.04	   interpretation-entries contains no more than 1 non-zero entries.
164.12/60.04	   
164.12/60.04	     [plus](x1, x2) = [1] x1 + [1] x2 + [1]
164.12/60.04	                                           
164.12/60.04	            [s](x1) = [1] x1 + [2]         
164.12/60.04	   
164.12/60.04	   The order satisfies the following ordering constraints:
164.12/60.04	   
164.12/60.04	                  [plus(s(X), plus(Y, Z))] = [1] X + [1] Y + [1] Z + [4]            
164.12/60.04	                                           ? [1] X + [1] Y + [1] Z + [6]            
164.12/60.04	                                           = [plus(X, plus(s(s(Y)), Z))]            
164.12/60.04	                                                                                    
164.12/60.04	     [plus(s(X1), plus(X2, plus(X3, X4)))] = [1] X1 + [1] X2 + [1] X3 + [1] X4 + [5]
164.12/60.04	                                           > [1] X1 + [1] X2 + [1] X3 + [1] X4 + [3]
164.12/60.04	                                           = [plus(X1, plus(X3, plus(X2, X4)))]     
164.12/60.04	                                                                                    
164.12/60.04	   
164.12/60.04	   Further, it can be verified that all rules not oriented are covered by the weightgap condition.
164.12/60.04	   
164.12/60.04	   We are left with following problem, upon which TcT provides the
164.12/60.04	   certificate MAYBE.
164.12/60.04	   
164.12/60.04	   Strict Trs: { plus(s(X), plus(Y, Z)) -> plus(X, plus(s(s(Y)), Z)) }
164.12/60.04	   Weak Trs:
164.12/60.04	     { plus(s(X1), plus(X2, plus(X3, X4))) ->
164.12/60.04	       plus(X1, plus(X3, plus(X2, X4))) }
164.12/60.04	   Obligation:
164.12/60.04	     derivational complexity
164.12/60.04	   Answer:
164.12/60.04	     MAYBE
164.12/60.04	   
164.12/60.04	   None of the processors succeeded.
164.12/60.04	   
164.12/60.04	   Details of failed attempt(s):
164.12/60.04	   -----------------------------
164.12/60.04	   1) 'empty' failed due to the following reason:
164.12/60.04	      
164.12/60.04	      Empty strict component of the problem is NOT empty.
164.12/60.04	   
164.12/60.04	   2) 'Fastest' failed due to the following reason:
164.12/60.04	      
164.12/60.04	      None of the processors succeeded.
164.12/60.04	      
164.12/60.04	      Details of failed attempt(s):
164.12/60.04	      -----------------------------
164.12/60.04	      1) 'Fastest (timeout of 30 seconds)' failed due to the following
164.12/60.04	         reason:
164.12/60.04	         
164.12/60.04	         Computation stopped due to timeout after 30.0 seconds.
164.12/60.04	      
164.12/60.04	      2) 'Fastest' failed due to the following reason:
164.12/60.04	         
164.12/60.04	         None of the processors succeeded.
164.12/60.04	         
164.12/60.04	         Details of failed attempt(s):
164.12/60.04	         -----------------------------
164.12/60.04	         1) 'matrix interpretation of dimension 6' failed due to the
164.12/60.04	            following reason:
164.12/60.04	            
164.12/60.04	            The input cannot be shown compatible
164.12/60.04	         
164.12/60.04	         2) 'matrix interpretation of dimension 5' failed due to the
164.12/60.04	            following reason:
164.12/60.04	            
164.12/60.04	            The input cannot be shown compatible
164.12/60.04	         
164.12/60.04	         3) 'matrix interpretation of dimension 4' failed due to the
164.12/60.04	            following reason:
164.12/60.04	            
164.12/60.04	            The input cannot be shown compatible
164.12/60.04	         
164.12/60.04	         4) 'matrix interpretation of dimension 3' failed due to the
164.12/60.04	            following reason:
164.12/60.04	            
164.12/60.04	            The input cannot be shown compatible
164.12/60.04	         
164.12/60.04	         5) 'matrix interpretation of dimension 2' failed due to the
164.12/60.04	            following reason:
164.12/60.04	            
164.12/60.04	            The input cannot be shown compatible
164.12/60.04	         
164.12/60.04	         6) 'matrix interpretation of dimension 1' failed due to the
164.12/60.04	            following reason:
164.12/60.04	            
164.12/60.04	            The input cannot be shown compatible
164.12/60.04	         
164.12/60.04	      
164.12/60.04	      3) 'bsearch-matrix' failed due to the following reason:
164.12/60.04	         
164.12/60.04	         The input cannot be shown compatible
164.12/60.04	      
164.12/60.04	      4) 'iteProgress' failed due to the following reason:
164.12/60.04	         
164.12/60.04	         Fail
164.12/60.04	      
164.12/60.04	   
164.12/60.04	
164.12/60.04	3) 'iteProgress (timeout of 297 seconds)' failed due to the
164.12/60.04	   following reason:
164.12/60.04	   
164.12/60.04	   Fail
164.12/60.04	
164.12/60.04	4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
164.12/60.04	   following reason:
164.12/60.04	   
164.12/60.04	   The input cannot be shown compatible
164.12/60.04	
164.12/60.04	
164.12/60.04	Arrrr..
164.23/60.10	EOF