MAYBE
1051.63/297.02	MAYBE
1051.63/297.02	
1051.63/297.02	We are left with following problem, upon which TcT provides the
1051.63/297.02	certificate MAYBE.
1051.63/297.02	
1051.63/297.02	Strict Trs:
1051.63/297.02	  { times(x, plus(y, s(z))) ->
1051.63/297.02	    plus(times(x, plus(y, times(s(z), 0()))), times(x, s(z)))
1051.63/297.02	  , times(x, s(y)) -> plus(times(x, y), x)
1051.63/297.02	  , times(x, 0()) -> 0()
1051.63/297.02	  , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x))
1051.63/297.02	  , plus(s(x), s(y)) ->
1051.63/297.02	    s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y)))))
1051.63/297.02	  , plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y))))
1051.63/297.02	  , plus(zero(), y) -> y
1051.63/297.02	  , if(true(), x, y) -> x
1051.63/297.02	  , if(false(), x, y) -> y
1051.63/297.02	  , gt(s(x), s(y)) -> gt(x, y)
1051.63/297.02	  , gt(s(x), zero()) -> true()
1051.63/297.02	  , gt(zero(), y) -> false()
1051.63/297.02	  , not(x) -> if(x, false(), true())
1051.63/297.02	  , id(x) -> x }
1051.63/297.02	Obligation:
1051.63/297.02	  innermost runtime complexity
1051.63/297.02	Answer:
1051.63/297.02	  MAYBE
1051.63/297.02	
1051.63/297.02	Arguments of following rules are not normal-forms:
1051.63/297.02	
1051.63/297.02	{ plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y)))) }
1051.63/297.02	
1051.63/297.02	All above mentioned rules can be savely removed.
1051.63/297.02	
1051.63/297.02	We are left with following problem, upon which TcT provides the
1051.63/297.02	certificate MAYBE.
1051.63/297.02	
1051.63/297.02	Strict Trs:
1051.63/297.02	  { times(x, plus(y, s(z))) ->
1051.63/297.02	    plus(times(x, plus(y, times(s(z), 0()))), times(x, s(z)))
1051.63/297.02	  , times(x, s(y)) -> plus(times(x, y), x)
1051.63/297.02	  , times(x, 0()) -> 0()
1051.63/297.02	  , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x))
1051.63/297.02	  , plus(s(x), s(y)) ->
1051.63/297.02	    s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y)))))
1051.63/297.02	  , plus(zero(), y) -> y
1051.63/297.02	  , if(true(), x, y) -> x
1051.63/297.02	  , if(false(), x, y) -> y
1051.63/297.02	  , gt(s(x), s(y)) -> gt(x, y)
1051.63/297.02	  , gt(s(x), zero()) -> true()
1051.63/297.02	  , gt(zero(), y) -> false()
1051.63/297.02	  , not(x) -> if(x, false(), true())
1051.63/297.02	  , id(x) -> x }
1051.63/297.02	Obligation:
1051.63/297.02	  innermost runtime complexity
1051.63/297.02	Answer:
1051.63/297.02	  MAYBE
1051.63/297.02	
1051.63/297.02	None of the processors succeeded.
1051.63/297.02	
1051.63/297.02	Details of failed attempt(s):
1051.63/297.02	-----------------------------
1051.63/297.02	1) 'empty' failed due to the following reason:
1051.63/297.02	   
1051.63/297.02	   Empty strict component of the problem is NOT empty.
1051.63/297.02	
1051.63/297.02	2) 'Best' failed due to the following reason:
1051.63/297.02	   
1051.63/297.02	   None of the processors succeeded.
1051.63/297.02	   
1051.63/297.02	   Details of failed attempt(s):
1051.63/297.02	   -----------------------------
1051.63/297.02	   1) 'With Problem ... (timeout of 297 seconds)' failed due to the
1051.63/297.02	      following reason:
1051.63/297.02	      
1051.63/297.02	      Computation stopped due to timeout after 297.0 seconds.
1051.63/297.02	   
1051.63/297.02	   2) 'Best' failed due to the following reason:
1051.63/297.02	      
1051.63/297.02	      None of the processors succeeded.
1051.63/297.02	      
1051.63/297.02	      Details of failed attempt(s):
1051.63/297.02	      -----------------------------
1051.63/297.02	      1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
1051.63/297.02	         seconds)' failed due to the following reason:
1051.63/297.02	         
1051.63/297.02	         Computation stopped due to timeout after 148.0 seconds.
1051.63/297.02	      
1051.63/297.02	      2) 'Best' failed due to the following reason:
1051.63/297.02	         
1051.63/297.02	         None of the processors succeeded.
1051.63/297.02	         
1051.63/297.02	         Details of failed attempt(s):
1051.63/297.02	         -----------------------------
1051.63/297.02	         1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
1051.63/297.02	            following reason:
1051.63/297.02	            
1051.63/297.02	            The input cannot be shown compatible
1051.63/297.02	         
1051.63/297.02	         2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
1051.63/297.02	            to the following reason:
1051.63/297.02	            
1051.63/297.02	            The input cannot be shown compatible
1051.63/297.02	         
1051.63/297.02	      
1051.63/297.02	      3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
1051.63/297.02	         failed due to the following reason:
1051.63/297.02	         
1051.63/297.02	         None of the processors succeeded.
1051.63/297.02	         
1051.63/297.02	         Details of failed attempt(s):
1051.63/297.02	         -----------------------------
1051.63/297.02	         1) 'Bounds with minimal-enrichment and initial automaton 'match''
1051.63/297.02	            failed due to the following reason:
1051.63/297.02	            
1051.63/297.02	            match-boundness of the problem could not be verified.
1051.63/297.02	         
1051.63/297.02	         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
1051.63/297.02	            failed due to the following reason:
1051.63/297.02	            
1051.63/297.02	            match-boundness of the problem could not be verified.
1051.63/297.02	         
1051.63/297.02	      
1051.63/297.02	   
1051.63/297.02	
1051.63/297.02	
1051.63/297.02	Arrrr..
1051.95/297.35	EOF