MAYBE
847.29/297.02	MAYBE
847.29/297.02	
847.29/297.02	We are left with following problem, upon which TcT provides the
847.29/297.02	certificate MAYBE.
847.29/297.02	
847.29/297.02	Strict Trs:
847.29/297.02	  { a__from(X) -> cons(mark(X), from(s(X)))
847.29/297.02	  , a__from(X) -> from(X)
847.29/297.02	  , mark(cons(X1, X2)) -> cons(mark(X1), X2)
847.29/297.02	  , mark(from(X)) -> a__from(mark(X))
847.29/297.02	  , mark(s(X)) -> s(mark(X))
847.29/297.02	  , mark(0()) -> 0()
847.29/297.02	  , mark(after(X1, X2)) -> a__after(mark(X1), mark(X2))
847.29/297.02	  , a__after(X1, X2) -> after(X1, X2)
847.29/297.02	  , a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS))
847.29/297.02	  , a__after(0(), XS) -> mark(XS) }
847.29/297.02	Obligation:
847.29/297.02	  runtime complexity
847.29/297.02	Answer:
847.29/297.02	  MAYBE
847.29/297.02	
847.29/297.02	None of the processors succeeded.
847.29/297.02	
847.29/297.02	Details of failed attempt(s):
847.29/297.02	-----------------------------
847.29/297.02	1) 'With Problem ... (timeout of 297 seconds)' failed due to the
847.29/297.02	   following reason:
847.29/297.02	   
847.29/297.02	   Computation stopped due to timeout after 297.0 seconds.
847.29/297.02	
847.29/297.02	2) 'Best' failed due to the following reason:
847.29/297.02	   
847.29/297.02	   None of the processors succeeded.
847.29/297.02	   
847.29/297.02	   Details of failed attempt(s):
847.29/297.02	   -----------------------------
847.29/297.02	   1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
847.29/297.02	      seconds)' failed due to the following reason:
847.29/297.02	      
847.29/297.02	      None of the processors succeeded.
847.29/297.02	      
847.29/297.02	      Details of failed attempt(s):
847.29/297.02	      -----------------------------
847.29/297.02	      1) 'empty' failed due to the following reason:
847.29/297.02	         
847.29/297.02	         Empty strict component of the problem is NOT empty.
847.29/297.02	      
847.29/297.02	      2) 'With Problem ...' failed due to the following reason:
847.29/297.02	         
847.29/297.02	         None of the processors succeeded.
847.29/297.02	         
847.29/297.02	         Details of failed attempt(s):
847.29/297.02	         -----------------------------
847.29/297.02	         1) 'empty' failed due to the following reason:
847.29/297.02	            
847.29/297.02	            Empty strict component of the problem is NOT empty.
847.29/297.02	         
847.29/297.02	         2) 'Fastest' failed due to the following reason:
847.29/297.02	            
847.29/297.02	            None of the processors succeeded.
847.29/297.02	            
847.29/297.02	            Details of failed attempt(s):
847.29/297.02	            -----------------------------
847.29/297.02	            1) 'With Problem ...' failed due to the following reason:
847.29/297.02	               
847.29/297.02	               None of the processors succeeded.
847.29/297.02	               
847.29/297.02	               Details of failed attempt(s):
847.29/297.02	               -----------------------------
847.29/297.02	               1) 'empty' failed due to the following reason:
847.29/297.02	                  
847.29/297.02	                  Empty strict component of the problem is NOT empty.
847.29/297.02	               
847.29/297.02	               2) 'With Problem ...' failed due to the following reason:
847.29/297.02	                  
847.29/297.02	                  None of the processors succeeded.
847.29/297.02	                  
847.29/297.02	                  Details of failed attempt(s):
847.29/297.02	                  -----------------------------
847.29/297.02	                  1) 'empty' failed due to the following reason:
847.29/297.02	                     
847.29/297.02	                     Empty strict component of the problem is NOT empty.
847.29/297.02	                  
847.29/297.02	                  2) 'With Problem ...' failed due to the following reason:
847.29/297.02	                     
847.29/297.02	                     None of the processors succeeded.
847.29/297.02	                     
847.29/297.02	                     Details of failed attempt(s):
847.29/297.02	                     -----------------------------
847.29/297.02	                     1) 'empty' failed due to the following reason:
847.29/297.02	                        
847.29/297.02	                        Empty strict component of the problem is NOT empty.
847.29/297.02	                     
847.29/297.02	                     2) 'With Problem ...' failed due to the following reason:
847.29/297.02	                        
847.29/297.02	                        Empty strict component of the problem is NOT empty.
847.29/297.02	                     
847.29/297.02	                  
847.29/297.02	               
847.29/297.02	            
847.29/297.02	            2) 'With Problem ...' failed due to the following reason:
847.29/297.02	               
847.29/297.02	               None of the processors succeeded.
847.29/297.02	               
847.29/297.02	               Details of failed attempt(s):
847.29/297.02	               -----------------------------
847.29/297.02	               1) 'empty' failed due to the following reason:
847.29/297.02	                  
847.29/297.02	                  Empty strict component of the problem is NOT empty.
847.29/297.02	               
847.29/297.02	               2) 'With Problem ...' failed due to the following reason:
847.29/297.02	                  
847.29/297.02	                  Empty strict component of the problem is NOT empty.
847.29/297.02	               
847.29/297.02	            
847.29/297.02	         
847.29/297.02	      
847.29/297.02	   
847.29/297.02	   2) 'Best' failed due to the following reason:
847.29/297.02	      
847.29/297.02	      None of the processors succeeded.
847.29/297.02	      
847.29/297.02	      Details of failed attempt(s):
847.29/297.02	      -----------------------------
847.29/297.02	      1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
847.29/297.02	         to the following reason:
847.29/297.02	         
847.29/297.02	         The processor is inapplicable, reason:
847.29/297.02	           Processor only applicable for innermost runtime complexity analysis
847.29/297.02	      
847.29/297.02	      2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
847.29/297.02	         following reason:
847.29/297.02	         
847.29/297.02	         The processor is inapplicable, reason:
847.29/297.02	           Processor only applicable for innermost runtime complexity analysis
847.29/297.02	      
847.29/297.02	   
847.29/297.02	   3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
847.29/297.02	      failed due to the following reason:
847.29/297.02	      
847.29/297.02	      None of the processors succeeded.
847.29/297.02	      
847.29/297.02	      Details of failed attempt(s):
847.29/297.02	      -----------------------------
847.29/297.02	      1) 'Bounds with minimal-enrichment and initial automaton 'match''
847.29/297.02	         failed due to the following reason:
847.29/297.02	         
847.29/297.02	         match-boundness of the problem could not be verified.
847.29/297.02	      
847.29/297.02	      2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
847.29/297.02	         failed due to the following reason:
847.29/297.02	         
847.29/297.02	         match-boundness of the problem could not be verified.
847.29/297.02	      
847.29/297.02	   
847.29/297.02	
847.29/297.02	3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to
847.29/297.02	   the following reason:
847.29/297.02	   
847.29/297.02	   We add the following weak dependency pairs:
847.29/297.02	   
847.29/297.02	   Strict DPs:
847.29/297.02	     { a__from^#(X) -> c_1(mark^#(X), X)
847.29/297.02	     , a__from^#(X) -> c_2(X)
847.29/297.02	     , mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2)
847.29/297.02	     , mark^#(from(X)) -> c_4(a__from^#(mark(X)))
847.29/297.02	     , mark^#(s(X)) -> c_5(mark^#(X))
847.29/297.02	     , mark^#(0()) -> c_6()
847.29/297.02	     , mark^#(after(X1, X2)) -> c_7(a__after^#(mark(X1), mark(X2)))
847.29/297.02	     , a__after^#(X1, X2) -> c_8(X1, X2)
847.29/297.02	     , a__after^#(s(N), cons(X, XS)) ->
847.29/297.02	       c_9(a__after^#(mark(N), mark(XS)))
847.29/297.02	     , a__after^#(0(), XS) -> c_10(mark^#(XS)) }
847.29/297.02	   
847.29/297.02	   and mark the set of starting terms.
847.29/297.02	   
847.29/297.02	   We are left with following problem, upon which TcT provides the
847.29/297.02	   certificate MAYBE.
847.29/297.02	   
847.29/297.02	   Strict DPs:
847.29/297.02	     { a__from^#(X) -> c_1(mark^#(X), X)
847.29/297.02	     , a__from^#(X) -> c_2(X)
847.29/297.02	     , mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2)
847.29/297.02	     , mark^#(from(X)) -> c_4(a__from^#(mark(X)))
847.29/297.02	     , mark^#(s(X)) -> c_5(mark^#(X))
847.29/297.02	     , mark^#(0()) -> c_6()
847.29/297.02	     , mark^#(after(X1, X2)) -> c_7(a__after^#(mark(X1), mark(X2)))
847.29/297.02	     , a__after^#(X1, X2) -> c_8(X1, X2)
847.29/297.02	     , a__after^#(s(N), cons(X, XS)) ->
847.29/297.02	       c_9(a__after^#(mark(N), mark(XS)))
847.29/297.02	     , a__after^#(0(), XS) -> c_10(mark^#(XS)) }
847.29/297.02	   Strict Trs:
847.29/297.02	     { a__from(X) -> cons(mark(X), from(s(X)))
847.29/297.02	     , a__from(X) -> from(X)
847.29/297.02	     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
847.29/297.02	     , mark(from(X)) -> a__from(mark(X))
847.29/297.02	     , mark(s(X)) -> s(mark(X))
847.29/297.02	     , mark(0()) -> 0()
847.29/297.02	     , mark(after(X1, X2)) -> a__after(mark(X1), mark(X2))
847.29/297.02	     , a__after(X1, X2) -> after(X1, X2)
847.29/297.02	     , a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS))
847.29/297.02	     , a__after(0(), XS) -> mark(XS) }
847.29/297.02	   Obligation:
847.29/297.02	     runtime complexity
847.29/297.02	   Answer:
847.29/297.02	     MAYBE
847.29/297.02	   
847.29/297.02	   We estimate the number of application of {6} by applications of
847.29/297.02	   Pre({6}) = {1,2,3,5,8,10}. Here rules are labeled as follows:
847.29/297.02	   
847.29/297.02	     DPs:
847.29/297.02	       { 1: a__from^#(X) -> c_1(mark^#(X), X)
847.29/297.02	       , 2: a__from^#(X) -> c_2(X)
847.29/297.02	       , 3: mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2)
847.29/297.02	       , 4: mark^#(from(X)) -> c_4(a__from^#(mark(X)))
847.29/297.02	       , 5: mark^#(s(X)) -> c_5(mark^#(X))
847.29/297.02	       , 6: mark^#(0()) -> c_6()
847.29/297.02	       , 7: mark^#(after(X1, X2)) -> c_7(a__after^#(mark(X1), mark(X2)))
847.29/297.02	       , 8: a__after^#(X1, X2) -> c_8(X1, X2)
847.29/297.02	       , 9: a__after^#(s(N), cons(X, XS)) ->
847.29/297.02	            c_9(a__after^#(mark(N), mark(XS)))
847.29/297.02	       , 10: a__after^#(0(), XS) -> c_10(mark^#(XS)) }
847.29/297.02	   
847.29/297.02	   We are left with following problem, upon which TcT provides the
847.29/297.02	   certificate MAYBE.
847.29/297.02	   
847.29/297.02	   Strict DPs:
847.29/297.02	     { a__from^#(X) -> c_1(mark^#(X), X)
847.29/297.02	     , a__from^#(X) -> c_2(X)
847.29/297.02	     , mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2)
847.29/297.02	     , mark^#(from(X)) -> c_4(a__from^#(mark(X)))
847.29/297.02	     , mark^#(s(X)) -> c_5(mark^#(X))
847.29/297.02	     , mark^#(after(X1, X2)) -> c_7(a__after^#(mark(X1), mark(X2)))
847.29/297.02	     , a__after^#(X1, X2) -> c_8(X1, X2)
847.29/297.02	     , a__after^#(s(N), cons(X, XS)) ->
847.29/297.02	       c_9(a__after^#(mark(N), mark(XS)))
847.29/297.02	     , a__after^#(0(), XS) -> c_10(mark^#(XS)) }
847.29/297.02	   Strict Trs:
847.29/297.02	     { a__from(X) -> cons(mark(X), from(s(X)))
847.29/297.02	     , a__from(X) -> from(X)
847.29/297.02	     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
847.29/297.02	     , mark(from(X)) -> a__from(mark(X))
847.29/297.02	     , mark(s(X)) -> s(mark(X))
847.29/297.02	     , mark(0()) -> 0()
847.29/297.02	     , mark(after(X1, X2)) -> a__after(mark(X1), mark(X2))
847.29/297.02	     , a__after(X1, X2) -> after(X1, X2)
847.29/297.02	     , a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS))
847.29/297.02	     , a__after(0(), XS) -> mark(XS) }
847.29/297.02	   Weak DPs: { mark^#(0()) -> c_6() }
847.29/297.02	   Obligation:
847.29/297.02	     runtime complexity
847.29/297.02	   Answer:
847.29/297.02	     MAYBE
847.29/297.02	   
847.29/297.02	   Empty strict component of the problem is NOT empty.
847.29/297.02	
847.29/297.02	
847.29/297.02	Arrrr..
847.50/297.27	EOF