MAYBE
741.38/297.10	MAYBE
741.38/297.10	
741.38/297.10	We are left with following problem, upon which TcT provides the
741.38/297.10	certificate MAYBE.
741.38/297.10	
741.38/297.10	Strict Trs:
741.38/297.10	  { active(natsFrom(X)) -> natsFrom(active(X))
741.38/297.10	  , active(natsFrom(N)) -> mark(cons(N, natsFrom(s(N))))
741.38/297.10	  , active(cons(X1, X2)) -> cons(active(X1), X2)
741.38/297.10	  , active(s(X)) -> s(active(X))
741.38/297.10	  , active(fst(X)) -> fst(active(X))
741.38/297.10	  , active(fst(pair(XS, YS))) -> mark(XS)
741.38/297.10	  , active(pair(X1, X2)) -> pair(X1, active(X2))
741.38/297.10	  , active(pair(X1, X2)) -> pair(active(X1), X2)
741.38/297.10	  , active(snd(X)) -> snd(active(X))
741.38/297.10	  , active(snd(pair(XS, YS))) -> mark(YS)
741.38/297.10	  , active(splitAt(X1, X2)) -> splitAt(X1, active(X2))
741.38/297.10	  , active(splitAt(X1, X2)) -> splitAt(active(X1), X2)
741.38/297.10	  , active(splitAt(s(N), cons(X, XS))) ->
741.38/297.10	    mark(u(splitAt(N, XS), N, X, XS))
741.38/297.10	  , active(splitAt(0(), XS)) -> mark(pair(nil(), XS))
741.38/297.10	  , active(u(X1, X2, X3, X4)) -> u(active(X1), X2, X3, X4)
741.38/297.10	  , active(u(pair(YS, ZS), N, X, XS)) -> mark(pair(cons(X, YS), ZS))
741.38/297.10	  , active(head(X)) -> head(active(X))
741.38/297.10	  , active(head(cons(N, XS))) -> mark(N)
741.38/297.10	  , active(tail(X)) -> tail(active(X))
741.38/297.10	  , active(tail(cons(N, XS))) -> mark(XS)
741.38/297.10	  , active(sel(N, XS)) -> mark(head(afterNth(N, XS)))
741.38/297.10	  , active(sel(X1, X2)) -> sel(X1, active(X2))
741.38/297.10	  , active(sel(X1, X2)) -> sel(active(X1), X2)
741.38/297.10	  , active(afterNth(N, XS)) -> mark(snd(splitAt(N, XS)))
741.38/297.10	  , active(afterNth(X1, X2)) -> afterNth(X1, active(X2))
741.38/297.10	  , active(afterNth(X1, X2)) -> afterNth(active(X1), X2)
741.38/297.10	  , active(take(N, XS)) -> mark(fst(splitAt(N, XS)))
741.38/297.10	  , active(take(X1, X2)) -> take(X1, active(X2))
741.38/297.10	  , active(take(X1, X2)) -> take(active(X1), X2)
741.38/297.10	  , natsFrom(mark(X)) -> mark(natsFrom(X))
741.38/297.10	  , natsFrom(ok(X)) -> ok(natsFrom(X))
741.38/297.10	  , cons(mark(X1), X2) -> mark(cons(X1, X2))
741.38/297.10	  , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
741.38/297.10	  , s(mark(X)) -> mark(s(X))
741.38/297.10	  , s(ok(X)) -> ok(s(X))
741.38/297.10	  , fst(mark(X)) -> mark(fst(X))
741.38/297.10	  , fst(ok(X)) -> ok(fst(X))
741.38/297.10	  , pair(X1, mark(X2)) -> mark(pair(X1, X2))
741.38/297.10	  , pair(mark(X1), X2) -> mark(pair(X1, X2))
741.38/297.10	  , pair(ok(X1), ok(X2)) -> ok(pair(X1, X2))
741.38/297.10	  , snd(mark(X)) -> mark(snd(X))
741.38/297.10	  , snd(ok(X)) -> ok(snd(X))
741.38/297.10	  , splitAt(X1, mark(X2)) -> mark(splitAt(X1, X2))
741.38/297.10	  , splitAt(mark(X1), X2) -> mark(splitAt(X1, X2))
741.38/297.10	  , splitAt(ok(X1), ok(X2)) -> ok(splitAt(X1, X2))
741.38/297.10	  , u(mark(X1), X2, X3, X4) -> mark(u(X1, X2, X3, X4))
741.38/297.10	  , u(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(u(X1, X2, X3, X4))
741.38/297.10	  , head(mark(X)) -> mark(head(X))
741.38/297.10	  , head(ok(X)) -> ok(head(X))
741.38/297.10	  , tail(mark(X)) -> mark(tail(X))
741.38/297.10	  , tail(ok(X)) -> ok(tail(X))
741.38/297.10	  , sel(X1, mark(X2)) -> mark(sel(X1, X2))
741.38/297.10	  , sel(mark(X1), X2) -> mark(sel(X1, X2))
741.38/297.10	  , sel(ok(X1), ok(X2)) -> ok(sel(X1, X2))
741.38/297.10	  , afterNth(X1, mark(X2)) -> mark(afterNth(X1, X2))
741.38/297.10	  , afterNth(mark(X1), X2) -> mark(afterNth(X1, X2))
741.38/297.10	  , afterNth(ok(X1), ok(X2)) -> ok(afterNth(X1, X2))
741.38/297.10	  , take(X1, mark(X2)) -> mark(take(X1, X2))
741.38/297.10	  , take(mark(X1), X2) -> mark(take(X1, X2))
741.38/297.10	  , take(ok(X1), ok(X2)) -> ok(take(X1, X2))
741.38/297.10	  , proper(natsFrom(X)) -> natsFrom(proper(X))
741.38/297.10	  , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
741.38/297.10	  , proper(s(X)) -> s(proper(X))
741.38/297.10	  , proper(fst(X)) -> fst(proper(X))
741.38/297.10	  , proper(pair(X1, X2)) -> pair(proper(X1), proper(X2))
741.38/297.10	  , proper(snd(X)) -> snd(proper(X))
741.38/297.10	  , proper(splitAt(X1, X2)) -> splitAt(proper(X1), proper(X2))
741.38/297.10	  , proper(0()) -> ok(0())
741.38/297.10	  , proper(nil()) -> ok(nil())
741.38/297.10	  , proper(u(X1, X2, X3, X4)) ->
741.38/297.10	    u(proper(X1), proper(X2), proper(X3), proper(X4))
741.38/297.10	  , proper(head(X)) -> head(proper(X))
741.38/297.10	  , proper(tail(X)) -> tail(proper(X))
741.38/297.10	  , proper(sel(X1, X2)) -> sel(proper(X1), proper(X2))
741.38/297.10	  , proper(afterNth(X1, X2)) -> afterNth(proper(X1), proper(X2))
741.38/297.10	  , proper(take(X1, X2)) -> take(proper(X1), proper(X2))
741.38/297.10	  , top(mark(X)) -> top(proper(X))
741.38/297.10	  , top(ok(X)) -> top(active(X)) }
741.38/297.10	Obligation:
741.38/297.10	  innermost runtime complexity
741.38/297.10	Answer:
741.38/297.10	  MAYBE
741.38/297.10	
741.38/297.10	None of the processors succeeded.
741.38/297.10	
741.38/297.10	Details of failed attempt(s):
741.38/297.10	-----------------------------
741.38/297.10	1) 'empty' failed due to the following reason:
741.38/297.10	   
741.38/297.10	   Empty strict component of the problem is NOT empty.
741.38/297.10	
741.38/297.10	2) 'Best' failed due to the following reason:
741.38/297.10	   
741.38/297.10	   None of the processors succeeded.
741.38/297.10	   
741.38/297.10	   Details of failed attempt(s):
741.38/297.10	   -----------------------------
741.38/297.10	   1) 'With Problem ... (timeout of 297 seconds)' failed due to the
741.38/297.10	      following reason:
741.38/297.10	      
741.38/297.10	      Computation stopped due to timeout after 297.0 seconds.
741.38/297.10	   
741.38/297.10	   2) 'Best' failed due to the following reason:
741.38/297.10	      
741.38/297.10	      None of the processors succeeded.
741.38/297.10	      
741.38/297.10	      Details of failed attempt(s):
741.38/297.10	      -----------------------------
741.38/297.10	      1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
741.38/297.10	         seconds)' failed due to the following reason:
741.38/297.10	         
741.38/297.10	         Computation stopped due to timeout after 148.0 seconds.
741.38/297.10	      
741.38/297.10	      2) 'Best' failed due to the following reason:
741.38/297.10	         
741.38/297.10	         None of the processors succeeded.
741.38/297.10	         
741.38/297.10	         Details of failed attempt(s):
741.38/297.10	         -----------------------------
741.38/297.10	         1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
741.38/297.10	            to the following reason:
741.38/297.10	            
741.38/297.10	            The input cannot be shown compatible
741.38/297.10	         
741.38/297.10	         2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
741.38/297.10	            following reason:
741.38/297.10	            
741.38/297.10	            The input cannot be shown compatible
741.38/297.10	         
741.38/297.10	      
741.38/297.10	      3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
741.38/297.10	         failed due to the following reason:
741.38/297.10	         
741.38/297.10	         None of the processors succeeded.
741.38/297.10	         
741.38/297.10	         Details of failed attempt(s):
741.38/297.10	         -----------------------------
741.38/297.10	         1) 'Bounds with minimal-enrichment and initial automaton 'match''
741.38/297.10	            failed due to the following reason:
741.38/297.10	            
741.38/297.10	            match-boundness of the problem could not be verified.
741.38/297.10	         
741.38/297.10	         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
741.38/297.10	            failed due to the following reason:
741.38/297.10	            
741.38/297.10	            match-boundness of the problem could not be verified.
741.38/297.10	         
741.38/297.10	      
741.38/297.10	   
741.38/297.10	
741.38/297.10	
741.38/297.10	Arrrr..
741.38/297.15	EOF