MAYBE
980.78/297.02	MAYBE
980.78/297.02	
980.78/297.02	We are left with following problem, upon which TcT provides the
980.78/297.02	certificate MAYBE.
980.78/297.02	
980.78/297.02	Strict Trs:
980.78/297.02	  { app(l, nil()) -> l
980.78/297.02	  , app(nil(), k) -> k
980.78/297.02	  , app(cons(x, l), k) -> cons(x, app(l, k))
980.78/297.02	  , sum(app(l, cons(x, cons(y, k)))) ->
980.78/297.02	    sum(app(l, sum(cons(x, cons(y, k)))))
980.78/297.02	  , sum(cons(x, nil())) -> cons(x, nil())
980.78/297.02	  , sum(cons(x, cons(y, l))) -> sum(cons(plus(x, y), l))
980.78/297.02	  , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x))
980.78/297.02	  , plus(s(x), s(y)) ->
980.78/297.02	    s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y)))))
980.78/297.02	  , plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y))))
980.78/297.02	  , plus(zero(), y) -> y
980.78/297.02	  , if(true(), x, y) -> x
980.78/297.02	  , if(false(), x, y) -> y
980.78/297.02	  , gt(s(x), s(y)) -> gt(x, y)
980.78/297.02	  , gt(s(x), zero()) -> true()
980.78/297.02	  , gt(zero(), y) -> false()
980.78/297.02	  , not(x) -> if(x, false(), true())
980.78/297.02	  , id(x) -> x }
980.78/297.02	Obligation:
980.78/297.02	  innermost runtime complexity
980.78/297.02	Answer:
980.78/297.02	  MAYBE
980.78/297.02	
980.78/297.02	Arguments of following rules are not normal-forms:
980.78/297.02	
980.78/297.02	{ plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y)))) }
980.78/297.02	
980.78/297.02	All above mentioned rules can be savely removed.
980.78/297.02	
980.78/297.02	We are left with following problem, upon which TcT provides the
980.78/297.02	certificate MAYBE.
980.78/297.02	
980.78/297.02	Strict Trs:
980.78/297.02	  { app(l, nil()) -> l
980.78/297.02	  , app(nil(), k) -> k
980.78/297.02	  , app(cons(x, l), k) -> cons(x, app(l, k))
980.78/297.02	  , sum(app(l, cons(x, cons(y, k)))) ->
980.78/297.02	    sum(app(l, sum(cons(x, cons(y, k)))))
980.78/297.02	  , sum(cons(x, nil())) -> cons(x, nil())
980.78/297.02	  , sum(cons(x, cons(y, l))) -> sum(cons(plus(x, y), l))
980.78/297.02	  , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x))
980.78/297.02	  , plus(s(x), s(y)) ->
980.78/297.02	    s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y)))))
980.78/297.02	  , plus(zero(), y) -> y
980.78/297.02	  , if(true(), x, y) -> x
980.78/297.02	  , if(false(), x, y) -> y
980.78/297.02	  , gt(s(x), s(y)) -> gt(x, y)
980.78/297.02	  , gt(s(x), zero()) -> true()
980.78/297.02	  , gt(zero(), y) -> false()
980.78/297.02	  , not(x) -> if(x, false(), true())
980.78/297.02	  , id(x) -> x }
980.78/297.02	Obligation:
980.78/297.02	  innermost runtime complexity
980.78/297.02	Answer:
980.78/297.02	  MAYBE
980.78/297.02	
980.78/297.02	None of the processors succeeded.
980.78/297.02	
980.78/297.02	Details of failed attempt(s):
980.78/297.02	-----------------------------
980.78/297.02	1) 'empty' failed due to the following reason:
980.78/297.02	   
980.78/297.02	   Empty strict component of the problem is NOT empty.
980.78/297.02	
980.78/297.02	2) 'Best' failed due to the following reason:
980.78/297.02	   
980.78/297.02	   None of the processors succeeded.
980.78/297.02	   
980.78/297.02	   Details of failed attempt(s):
980.78/297.02	   -----------------------------
980.78/297.02	   1) 'With Problem ... (timeout of 297 seconds)' failed due to the
980.78/297.02	      following reason:
980.78/297.02	      
980.78/297.02	      Computation stopped due to timeout after 297.0 seconds.
980.78/297.02	   
980.78/297.02	   2) 'Best' failed due to the following reason:
980.78/297.02	      
980.78/297.02	      None of the processors succeeded.
980.78/297.02	      
980.78/297.02	      Details of failed attempt(s):
980.78/297.02	      -----------------------------
980.78/297.02	      1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
980.78/297.02	         seconds)' failed due to the following reason:
980.78/297.02	         
980.78/297.02	         Computation stopped due to timeout after 148.0 seconds.
980.78/297.02	      
980.78/297.02	      2) 'Best' failed due to the following reason:
980.78/297.02	         
980.78/297.02	         None of the processors succeeded.
980.78/297.02	         
980.78/297.02	         Details of failed attempt(s):
980.78/297.02	         -----------------------------
980.78/297.02	         1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
980.78/297.02	            following reason:
980.78/297.02	            
980.78/297.02	            The input cannot be shown compatible
980.78/297.02	         
980.78/297.02	         2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
980.78/297.02	            to the following reason:
980.78/297.02	            
980.78/297.02	            The input cannot be shown compatible
980.78/297.02	         
980.78/297.02	      
980.78/297.02	      3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
980.78/297.02	         failed due to the following reason:
980.78/297.02	         
980.78/297.02	         None of the processors succeeded.
980.78/297.02	         
980.78/297.02	         Details of failed attempt(s):
980.78/297.02	         -----------------------------
980.78/297.02	         1) 'Bounds with minimal-enrichment and initial automaton 'match''
980.78/297.02	            failed due to the following reason:
980.78/297.02	            
980.78/297.02	            match-boundness of the problem could not be verified.
980.78/297.02	         
980.78/297.02	         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
980.78/297.02	            failed due to the following reason:
980.78/297.02	            
980.78/297.02	            match-boundness of the problem could not be verified.
980.78/297.02	         
980.78/297.02	      
980.78/297.02	   
980.78/297.02	
980.78/297.02	
980.78/297.02	Arrrr..
981.01/297.20	EOF