MAYBE
642.38/297.03	MAYBE
642.38/297.03	
642.38/297.03	We are left with following problem, upon which TcT provides the
642.38/297.03	certificate MAYBE.
642.38/297.03	
642.38/297.03	Strict Trs:
642.38/297.03	  { from(X) -> cons(X, n__from(s(X)))
642.38/297.03	  , from(X) -> n__from(X)
642.38/297.03	  , sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
642.38/297.03	  , sel(0(), cons(X, XS)) -> X
642.38/297.03	  , activate(X) -> X
642.38/297.03	  , activate(n__from(X)) -> from(X)
642.38/297.03	  , activate(n__zWquot(X1, X2)) -> zWquot(X1, X2)
642.38/297.03	  , minus(X, 0()) -> 0()
642.38/297.03	  , minus(s(X), s(Y)) -> minus(X, Y)
642.38/297.03	  , quot(s(X), s(Y)) -> s(quot(minus(X, Y), s(Y)))
642.38/297.03	  , quot(0(), s(Y)) -> 0()
642.38/297.03	  , zWquot(X1, X2) -> n__zWquot(X1, X2)
642.38/297.03	  , zWquot(XS, nil()) -> nil()
642.38/297.03	  , zWquot(cons(X, XS), cons(Y, YS)) ->
642.38/297.03	    cons(quot(X, Y), n__zWquot(activate(XS), activate(YS)))
642.38/297.03	  , zWquot(nil(), XS) -> nil() }
642.38/297.03	Obligation:
642.38/297.03	  runtime complexity
642.38/297.03	Answer:
642.38/297.03	  MAYBE
642.38/297.03	
642.38/297.03	None of the processors succeeded.
642.38/297.03	
642.38/297.03	Details of failed attempt(s):
642.38/297.03	-----------------------------
642.38/297.03	1) 'With Problem ... (timeout of 297 seconds)' failed due to the
642.38/297.03	   following reason:
642.38/297.03	   
642.38/297.03	   Computation stopped due to timeout after 297.0 seconds.
642.38/297.03	
642.38/297.03	2) 'Best' failed due to the following reason:
642.38/297.03	   
642.38/297.03	   None of the processors succeeded.
642.38/297.03	   
642.38/297.03	   Details of failed attempt(s):
642.38/297.03	   -----------------------------
642.38/297.03	   1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
642.38/297.03	      seconds)' failed due to the following reason:
642.38/297.03	      
642.38/297.03	      None of the processors succeeded.
642.38/297.03	      
642.38/297.03	      Details of failed attempt(s):
642.38/297.03	      -----------------------------
642.38/297.03	      1) 'empty' failed due to the following reason:
642.38/297.03	         
642.38/297.03	         Empty strict component of the problem is NOT empty.
642.38/297.03	      
642.38/297.03	      2) 'With Problem ...' failed due to the following reason:
642.38/297.03	         
642.38/297.03	         None of the processors succeeded.
642.38/297.03	         
642.38/297.03	         Details of failed attempt(s):
642.38/297.03	         -----------------------------
642.38/297.03	         1) 'empty' failed due to the following reason:
642.38/297.03	            
642.38/297.03	            Empty strict component of the problem is NOT empty.
642.38/297.03	         
642.38/297.03	         2) 'Fastest' failed due to the following reason:
642.38/297.03	            
642.38/297.03	            None of the processors succeeded.
642.38/297.03	            
642.38/297.03	            Details of failed attempt(s):
642.38/297.03	            -----------------------------
642.38/297.03	            1) 'With Problem ...' failed due to the following reason:
642.38/297.03	               
642.38/297.03	               None of the processors succeeded.
642.38/297.03	               
642.38/297.03	               Details of failed attempt(s):
642.38/297.03	               -----------------------------
642.38/297.03	               1) 'empty' failed due to the following reason:
642.38/297.03	                  
642.38/297.03	                  Empty strict component of the problem is NOT empty.
642.38/297.03	               
642.38/297.03	               2) 'With Problem ...' failed due to the following reason:
642.38/297.03	                  
642.38/297.03	                  None of the processors succeeded.
642.38/297.03	                  
642.38/297.03	                  Details of failed attempt(s):
642.38/297.03	                  -----------------------------
642.38/297.03	                  1) 'empty' failed due to the following reason:
642.38/297.03	                     
642.38/297.03	                     Empty strict component of the problem is NOT empty.
642.38/297.03	                  
642.38/297.03	                  2) 'With Problem ...' failed due to the following reason:
642.38/297.03	                     
642.38/297.03	                     None of the processors succeeded.
642.38/297.03	                     
642.38/297.03	                     Details of failed attempt(s):
642.38/297.03	                     -----------------------------
642.38/297.03	                     1) 'empty' failed due to the following reason:
642.38/297.03	                        
642.38/297.03	                        Empty strict component of the problem is NOT empty.
642.38/297.03	                     
642.38/297.03	                     2) 'With Problem ...' failed due to the following reason:
642.38/297.03	                        
642.38/297.03	                        Empty strict component of the problem is NOT empty.
642.38/297.03	                     
642.38/297.03	                  
642.38/297.03	               
642.38/297.03	            
642.38/297.03	            2) 'With Problem ...' failed due to the following reason:
642.38/297.03	               
642.38/297.03	               None of the processors succeeded.
642.38/297.03	               
642.38/297.03	               Details of failed attempt(s):
642.38/297.03	               -----------------------------
642.38/297.03	               1) 'empty' failed due to the following reason:
642.38/297.03	                  
642.38/297.03	                  Empty strict component of the problem is NOT empty.
642.38/297.03	               
642.38/297.03	               2) 'With Problem ...' failed due to the following reason:
642.38/297.03	                  
642.38/297.03	                  Empty strict component of the problem is NOT empty.
642.38/297.03	               
642.38/297.03	            
642.38/297.03	         
642.38/297.03	      
642.38/297.03	   
642.38/297.03	   2) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
642.38/297.03	      failed due to the following reason:
642.38/297.03	      
642.38/297.03	      None of the processors succeeded.
642.38/297.03	      
642.38/297.03	      Details of failed attempt(s):
642.38/297.03	      -----------------------------
642.38/297.03	      1) 'Bounds with minimal-enrichment and initial automaton 'match''
642.38/297.03	         failed due to the following reason:
642.38/297.03	         
642.38/297.03	         match-boundness of the problem could not be verified.
642.38/297.03	      
642.38/297.03	      2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
642.38/297.03	         failed due to the following reason:
642.38/297.03	         
642.38/297.03	         match-boundness of the problem could not be verified.
642.38/297.03	      
642.38/297.03	   
642.38/297.03	   3) 'Best' failed due to the following reason:
642.38/297.03	      
642.38/297.03	      None of the processors succeeded.
642.38/297.03	      
642.38/297.03	      Details of failed attempt(s):
642.38/297.03	      -----------------------------
642.38/297.03	      1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
642.38/297.03	         following reason:
642.38/297.03	         
642.38/297.03	         The processor is inapplicable, reason:
642.38/297.03	           Processor only applicable for innermost runtime complexity analysis
642.38/297.03	      
642.38/297.03	      2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
642.38/297.03	         to the following reason:
642.38/297.03	         
642.38/297.03	         The processor is inapplicable, reason:
642.38/297.03	           Processor only applicable for innermost runtime complexity analysis
642.38/297.03	      
642.38/297.03	   
642.38/297.03	
642.38/297.03	3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to
642.38/297.03	   the following reason:
642.38/297.03	   
642.38/297.03	   We add the following weak dependency pairs:
642.38/297.03	   
642.38/297.03	   Strict DPs:
642.38/297.03	     { from^#(X) -> c_1(X, X)
642.38/297.03	     , from^#(X) -> c_2(X)
642.38/297.03	     , sel^#(s(N), cons(X, XS)) -> c_3(sel^#(N, activate(XS)))
642.38/297.03	     , sel^#(0(), cons(X, XS)) -> c_4(X)
642.38/297.03	     , activate^#(X) -> c_5(X)
642.38/297.03	     , activate^#(n__from(X)) -> c_6(from^#(X))
642.38/297.03	     , activate^#(n__zWquot(X1, X2)) -> c_7(zWquot^#(X1, X2))
642.38/297.03	     , zWquot^#(X1, X2) -> c_12(X1, X2)
642.38/297.03	     , zWquot^#(XS, nil()) -> c_13()
642.38/297.03	     , zWquot^#(cons(X, XS), cons(Y, YS)) ->
642.38/297.03	       c_14(quot^#(X, Y), activate^#(XS), activate^#(YS))
642.38/297.03	     , zWquot^#(nil(), XS) -> c_15()
642.38/297.03	     , minus^#(X, 0()) -> c_8()
642.38/297.03	     , minus^#(s(X), s(Y)) -> c_9(minus^#(X, Y))
642.38/297.03	     , quot^#(s(X), s(Y)) -> c_10(quot^#(minus(X, Y), s(Y)))
642.38/297.03	     , quot^#(0(), s(Y)) -> c_11() }
642.38/297.03	   
642.38/297.03	   and mark the set of starting terms.
642.38/297.03	   
642.38/297.03	   We are left with following problem, upon which TcT provides the
642.38/297.03	   certificate MAYBE.
642.38/297.03	   
642.38/297.03	   Strict DPs:
642.38/297.03	     { from^#(X) -> c_1(X, X)
642.38/297.03	     , from^#(X) -> c_2(X)
642.38/297.03	     , sel^#(s(N), cons(X, XS)) -> c_3(sel^#(N, activate(XS)))
642.38/297.03	     , sel^#(0(), cons(X, XS)) -> c_4(X)
642.38/297.03	     , activate^#(X) -> c_5(X)
642.38/297.03	     , activate^#(n__from(X)) -> c_6(from^#(X))
642.38/297.03	     , activate^#(n__zWquot(X1, X2)) -> c_7(zWquot^#(X1, X2))
642.38/297.03	     , zWquot^#(X1, X2) -> c_12(X1, X2)
642.38/297.03	     , zWquot^#(XS, nil()) -> c_13()
642.38/297.03	     , zWquot^#(cons(X, XS), cons(Y, YS)) ->
642.38/297.03	       c_14(quot^#(X, Y), activate^#(XS), activate^#(YS))
642.38/297.03	     , zWquot^#(nil(), XS) -> c_15()
642.38/297.03	     , minus^#(X, 0()) -> c_8()
642.38/297.03	     , minus^#(s(X), s(Y)) -> c_9(minus^#(X, Y))
642.38/297.03	     , quot^#(s(X), s(Y)) -> c_10(quot^#(minus(X, Y), s(Y)))
642.38/297.03	     , quot^#(0(), s(Y)) -> c_11() }
642.38/297.03	   Strict Trs:
642.38/297.03	     { from(X) -> cons(X, n__from(s(X)))
642.38/297.03	     , from(X) -> n__from(X)
642.38/297.03	     , sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
642.38/297.03	     , sel(0(), cons(X, XS)) -> X
642.38/297.03	     , activate(X) -> X
642.38/297.03	     , activate(n__from(X)) -> from(X)
642.38/297.03	     , activate(n__zWquot(X1, X2)) -> zWquot(X1, X2)
642.38/297.03	     , minus(X, 0()) -> 0()
642.38/297.03	     , minus(s(X), s(Y)) -> minus(X, Y)
642.38/297.03	     , quot(s(X), s(Y)) -> s(quot(minus(X, Y), s(Y)))
642.38/297.03	     , quot(0(), s(Y)) -> 0()
642.38/297.03	     , zWquot(X1, X2) -> n__zWquot(X1, X2)
642.38/297.03	     , zWquot(XS, nil()) -> nil()
642.38/297.03	     , zWquot(cons(X, XS), cons(Y, YS)) ->
642.38/297.03	       cons(quot(X, Y), n__zWquot(activate(XS), activate(YS)))
642.38/297.03	     , zWquot(nil(), XS) -> nil() }
642.38/297.03	   Obligation:
642.38/297.03	     runtime complexity
642.38/297.03	   Answer:
642.38/297.03	     MAYBE
642.38/297.03	   
642.38/297.03	   We estimate the number of application of {9,11,12,15} by
642.38/297.03	   applications of Pre({9,11,12,15}) = {1,2,4,5,7,8,10,13,14}. Here
642.38/297.04	   rules are labeled as follows:
642.38/297.04	   
642.38/297.04	     DPs:
642.38/297.04	       { 1: from^#(X) -> c_1(X, X)
642.38/297.04	       , 2: from^#(X) -> c_2(X)
642.38/297.04	       , 3: sel^#(s(N), cons(X, XS)) -> c_3(sel^#(N, activate(XS)))
642.38/297.04	       , 4: sel^#(0(), cons(X, XS)) -> c_4(X)
642.38/297.04	       , 5: activate^#(X) -> c_5(X)
642.38/297.04	       , 6: activate^#(n__from(X)) -> c_6(from^#(X))
642.38/297.04	       , 7: activate^#(n__zWquot(X1, X2)) -> c_7(zWquot^#(X1, X2))
642.38/297.04	       , 8: zWquot^#(X1, X2) -> c_12(X1, X2)
642.38/297.04	       , 9: zWquot^#(XS, nil()) -> c_13()
642.38/297.04	       , 10: zWquot^#(cons(X, XS), cons(Y, YS)) ->
642.38/297.04	             c_14(quot^#(X, Y), activate^#(XS), activate^#(YS))
642.38/297.04	       , 11: zWquot^#(nil(), XS) -> c_15()
642.38/297.04	       , 12: minus^#(X, 0()) -> c_8()
642.38/297.04	       , 13: minus^#(s(X), s(Y)) -> c_9(minus^#(X, Y))
642.38/297.04	       , 14: quot^#(s(X), s(Y)) -> c_10(quot^#(minus(X, Y), s(Y)))
642.38/297.04	       , 15: quot^#(0(), s(Y)) -> c_11() }
642.38/297.04	   
642.38/297.04	   We are left with following problem, upon which TcT provides the
642.38/297.04	   certificate MAYBE.
642.38/297.04	   
642.38/297.04	   Strict DPs:
642.38/297.04	     { from^#(X) -> c_1(X, X)
642.38/297.04	     , from^#(X) -> c_2(X)
642.38/297.04	     , sel^#(s(N), cons(X, XS)) -> c_3(sel^#(N, activate(XS)))
642.38/297.04	     , sel^#(0(), cons(X, XS)) -> c_4(X)
642.38/297.04	     , activate^#(X) -> c_5(X)
642.38/297.04	     , activate^#(n__from(X)) -> c_6(from^#(X))
642.38/297.04	     , activate^#(n__zWquot(X1, X2)) -> c_7(zWquot^#(X1, X2))
642.38/297.04	     , zWquot^#(X1, X2) -> c_12(X1, X2)
642.38/297.04	     , zWquot^#(cons(X, XS), cons(Y, YS)) ->
642.38/297.04	       c_14(quot^#(X, Y), activate^#(XS), activate^#(YS))
642.38/297.04	     , minus^#(s(X), s(Y)) -> c_9(minus^#(X, Y))
642.38/297.04	     , quot^#(s(X), s(Y)) -> c_10(quot^#(minus(X, Y), s(Y))) }
642.38/297.04	   Strict Trs:
642.38/297.04	     { from(X) -> cons(X, n__from(s(X)))
642.38/297.04	     , from(X) -> n__from(X)
642.38/297.04	     , sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
642.38/297.04	     , sel(0(), cons(X, XS)) -> X
642.38/297.04	     , activate(X) -> X
642.38/297.04	     , activate(n__from(X)) -> from(X)
642.38/297.04	     , activate(n__zWquot(X1, X2)) -> zWquot(X1, X2)
642.38/297.04	     , minus(X, 0()) -> 0()
642.38/297.04	     , minus(s(X), s(Y)) -> minus(X, Y)
642.38/297.04	     , quot(s(X), s(Y)) -> s(quot(minus(X, Y), s(Y)))
642.38/297.04	     , quot(0(), s(Y)) -> 0()
642.38/297.04	     , zWquot(X1, X2) -> n__zWquot(X1, X2)
642.38/297.04	     , zWquot(XS, nil()) -> nil()
642.38/297.04	     , zWquot(cons(X, XS), cons(Y, YS)) ->
642.38/297.04	       cons(quot(X, Y), n__zWquot(activate(XS), activate(YS)))
642.38/297.04	     , zWquot(nil(), XS) -> nil() }
642.38/297.04	   Weak DPs:
642.38/297.04	     { zWquot^#(XS, nil()) -> c_13()
642.38/297.04	     , zWquot^#(nil(), XS) -> c_15()
642.38/297.04	     , minus^#(X, 0()) -> c_8()
642.38/297.04	     , quot^#(0(), s(Y)) -> c_11() }
642.38/297.04	   Obligation:
642.38/297.04	     runtime complexity
642.38/297.04	   Answer:
642.38/297.04	     MAYBE
642.38/297.04	   
642.38/297.04	   Empty strict component of the problem is NOT empty.
642.38/297.04	
642.38/297.04	
642.38/297.04	Arrrr..
642.59/297.27	EOF