MAYBE
828.30/297.12	MAYBE
828.30/297.12	
828.30/297.12	We are left with following problem, upon which TcT provides the
828.30/297.12	certificate MAYBE.
828.30/297.12	
828.30/297.12	Strict Trs:
828.30/297.12	  { empty(nil()) -> true()
828.30/297.12	  , empty(cons(x, y)) -> false()
828.30/297.12	  , tail(nil()) -> nil()
828.30/297.12	  , tail(cons(x, y)) -> y
828.30/297.12	  , head(cons(x, y)) -> x
828.30/297.12	  , zero(0()) -> true()
828.30/297.12	  , zero(s(x)) -> false()
828.30/297.12	  , p(0()) -> 0()
828.30/297.12	  , p(s(0())) -> 0()
828.30/297.12	  , p(s(s(x))) -> s(p(s(x)))
828.30/297.12	  , intlist(x) -> if_intlist(empty(x), x)
828.30/297.12	  , if_intlist(true(), x) -> nil()
828.30/297.12	  , if_intlist(false(), x) -> cons(s(head(x)), intlist(tail(x)))
828.30/297.12	  , int(x, y) -> if_int(zero(x), zero(y), x, y)
828.30/297.12	  , if_int(true(), b, x, y) -> if1(b, x, y)
828.30/297.12	  , if_int(false(), b, x, y) -> if2(b, x, y)
828.30/297.12	  , if1(true(), x, y) -> cons(0(), nil())
828.30/297.12	  , if1(false(), x, y) -> cons(0(), int(s(0()), y))
828.30/297.12	  , if2(true(), x, y) -> nil()
828.30/297.12	  , if2(false(), x, y) -> intlist(int(p(x), p(y))) }
828.30/297.12	Obligation:
828.30/297.12	  innermost runtime complexity
828.30/297.12	Answer:
828.30/297.12	  MAYBE
828.30/297.12	
828.30/297.12	None of the processors succeeded.
828.30/297.12	
828.30/297.12	Details of failed attempt(s):
828.30/297.12	-----------------------------
828.30/297.12	1) 'empty' failed due to the following reason:
828.30/297.12	   
828.30/297.12	   Empty strict component of the problem is NOT empty.
828.30/297.12	
828.30/297.12	2) 'Best' failed due to the following reason:
828.30/297.12	   
828.30/297.12	   None of the processors succeeded.
828.30/297.12	   
828.30/297.12	   Details of failed attempt(s):
828.30/297.12	   -----------------------------
828.30/297.12	   1) 'With Problem ... (timeout of 297 seconds)' failed due to the
828.30/297.12	      following reason:
828.30/297.12	      
828.30/297.12	      Computation stopped due to timeout after 297.0 seconds.
828.30/297.12	   
828.30/297.12	   2) 'Best' failed due to the following reason:
828.30/297.12	      
828.30/297.12	      None of the processors succeeded.
828.30/297.12	      
828.30/297.12	      Details of failed attempt(s):
828.30/297.12	      -----------------------------
828.30/297.12	      1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
828.30/297.12	         seconds)' failed due to the following reason:
828.30/297.12	         
828.30/297.12	         Computation stopped due to timeout after 148.0 seconds.
828.30/297.12	      
828.30/297.12	      2) 'Best' failed due to the following reason:
828.30/297.12	         
828.30/297.12	         None of the processors succeeded.
828.30/297.12	         
828.30/297.12	         Details of failed attempt(s):
828.30/297.12	         -----------------------------
828.30/297.12	         1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
828.30/297.12	            following reason:
828.30/297.12	            
828.30/297.12	            The input cannot be shown compatible
828.30/297.12	         
828.30/297.12	         2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
828.30/297.12	            to the following reason:
828.30/297.12	            
828.30/297.12	            The input cannot be shown compatible
828.30/297.12	         
828.30/297.12	      
828.30/297.12	      3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
828.30/297.12	         failed due to the following reason:
828.30/297.12	         
828.30/297.12	         None of the processors succeeded.
828.30/297.12	         
828.30/297.12	         Details of failed attempt(s):
828.30/297.12	         -----------------------------
828.30/297.12	         1) 'Bounds with minimal-enrichment and initial automaton 'match''
828.30/297.12	            failed due to the following reason:
828.30/297.12	            
828.30/297.12	            match-boundness of the problem could not be verified.
828.30/297.12	         
828.30/297.12	         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
828.30/297.12	            failed due to the following reason:
828.30/297.12	            
828.30/297.12	            match-boundness of the problem could not be verified.
828.30/297.12	         
828.30/297.12	      
828.30/297.12	   
828.30/297.12	
828.30/297.12	
828.30/297.12	Arrrr..
828.49/297.26	EOF