MAYBE
985.24/297.04	MAYBE
985.24/297.04	
985.24/297.04	We are left with following problem, upon which TcT provides the
985.24/297.04	certificate MAYBE.
985.24/297.04	
985.24/297.04	Strict Trs:
985.24/297.04	  { a__U11(X1, X2) -> U11(X1, X2)
985.24/297.04	  , a__U11(tt(), V2) -> a__U12(a__isNat(V2))
985.24/297.04	  , a__U12(X) -> U12(X)
985.24/297.04	  , a__U12(tt()) -> tt()
985.24/297.04	  , a__isNat(X) -> isNat(X)
985.24/297.04	  , a__isNat(s(V1)) -> a__U21(a__isNat(V1))
985.24/297.04	  , a__isNat(0()) -> tt()
985.24/297.04	  , a__isNat(plus(V1, V2)) -> a__U11(a__isNat(V1), V2)
985.24/297.04	  , a__isNat(x(V1, V2)) -> a__U31(a__isNat(V1), V2)
985.24/297.04	  , a__U21(X) -> U21(X)
985.24/297.04	  , a__U21(tt()) -> tt()
985.24/297.04	  , a__U31(X1, X2) -> U31(X1, X2)
985.24/297.04	  , a__U31(tt(), V2) -> a__U32(a__isNat(V2))
985.24/297.04	  , a__U32(X) -> U32(X)
985.24/297.04	  , a__U32(tt()) -> tt()
985.24/297.04	  , a__U41(X1, X2) -> U41(X1, X2)
985.24/297.04	  , a__U41(tt(), N) -> mark(N)
985.24/297.04	  , mark(tt()) -> tt()
985.24/297.04	  , mark(s(X)) -> s(mark(X))
985.24/297.04	  , mark(0()) -> 0()
985.24/297.04	  , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
985.24/297.04	  , mark(x(X1, X2)) -> a__x(mark(X1), mark(X2))
985.24/297.04	  , mark(U11(X1, X2)) -> a__U11(mark(X1), X2)
985.24/297.04	  , mark(U12(X)) -> a__U12(mark(X))
985.24/297.04	  , mark(isNat(X)) -> a__isNat(X)
985.24/297.04	  , mark(U21(X)) -> a__U21(mark(X))
985.24/297.04	  , mark(U31(X1, X2)) -> a__U31(mark(X1), X2)
985.24/297.04	  , mark(U32(X)) -> a__U32(mark(X))
985.24/297.04	  , mark(U41(X1, X2)) -> a__U41(mark(X1), X2)
985.24/297.04	  , mark(U51(X1, X2, X3)) -> a__U51(mark(X1), X2, X3)
985.24/297.04	  , mark(U52(X1, X2, X3)) -> a__U52(mark(X1), X2, X3)
985.24/297.04	  , mark(U61(X)) -> a__U61(mark(X))
985.24/297.04	  , mark(U71(X1, X2, X3)) -> a__U71(mark(X1), X2, X3)
985.24/297.04	  , mark(U72(X1, X2, X3)) -> a__U72(mark(X1), X2, X3)
985.24/297.04	  , a__U51(X1, X2, X3) -> U51(X1, X2, X3)
985.24/297.04	  , a__U51(tt(), M, N) -> a__U52(a__isNat(N), M, N)
985.24/297.04	  , a__U52(X1, X2, X3) -> U52(X1, X2, X3)
985.24/297.04	  , a__U52(tt(), M, N) -> s(a__plus(mark(N), mark(M)))
985.24/297.04	  , a__plus(X1, X2) -> plus(X1, X2)
985.24/297.04	  , a__plus(N, s(M)) -> a__U51(a__isNat(M), M, N)
985.24/297.04	  , a__plus(N, 0()) -> a__U41(a__isNat(N), N)
985.24/297.04	  , a__U61(X) -> U61(X)
985.24/297.04	  , a__U61(tt()) -> 0()
985.24/297.04	  , a__U71(X1, X2, X3) -> U71(X1, X2, X3)
985.24/297.04	  , a__U71(tt(), M, N) -> a__U72(a__isNat(N), M, N)
985.24/297.04	  , a__U72(X1, X2, X3) -> U72(X1, X2, X3)
985.24/297.04	  , a__U72(tt(), M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N))
985.24/297.04	  , a__x(X1, X2) -> x(X1, X2)
985.24/297.04	  , a__x(N, s(M)) -> a__U71(a__isNat(M), M, N)
985.24/297.04	  , a__x(N, 0()) -> a__U61(a__isNat(N)) }
985.24/297.04	Obligation:
985.24/297.04	  innermost runtime complexity
985.24/297.04	Answer:
985.24/297.04	  MAYBE
985.24/297.04	
985.24/297.04	None of the processors succeeded.
985.24/297.04	
985.24/297.04	Details of failed attempt(s):
985.24/297.04	-----------------------------
985.24/297.04	1) 'empty' failed due to the following reason:
985.24/297.04	   
985.24/297.04	   Empty strict component of the problem is NOT empty.
985.24/297.04	
985.24/297.04	2) 'Best' failed due to the following reason:
985.24/297.04	   
985.24/297.04	   None of the processors succeeded.
985.24/297.04	   
985.24/297.04	   Details of failed attempt(s):
985.24/297.04	   -----------------------------
985.24/297.04	   1) 'With Problem ... (timeout of 297 seconds)' failed due to the
985.24/297.04	      following reason:
985.24/297.04	      
985.24/297.04	      Computation stopped due to timeout after 297.0 seconds.
985.24/297.04	   
985.24/297.04	   2) 'Best' failed due to the following reason:
985.24/297.04	      
985.24/297.04	      None of the processors succeeded.
985.24/297.04	      
985.24/297.04	      Details of failed attempt(s):
985.24/297.04	      -----------------------------
985.24/297.04	      1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
985.24/297.04	         seconds)' failed due to the following reason:
985.24/297.04	         
985.24/297.04	         Computation stopped due to timeout after 148.0 seconds.
985.24/297.04	      
985.24/297.04	      2) 'Best' failed due to the following reason:
985.24/297.04	         
985.24/297.04	         None of the processors succeeded.
985.24/297.04	         
985.24/297.04	         Details of failed attempt(s):
985.24/297.04	         -----------------------------
985.24/297.04	         1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
985.24/297.04	            following reason:
985.24/297.04	            
985.24/297.04	            The input cannot be shown compatible
985.24/297.04	         
985.24/297.04	         2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
985.24/297.04	            to the following reason:
985.24/297.04	            
985.24/297.04	            The input cannot be shown compatible
985.24/297.04	         
985.24/297.04	      
985.24/297.04	      3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
985.24/297.04	         failed due to the following reason:
985.24/297.04	         
985.24/297.04	         None of the processors succeeded.
985.24/297.04	         
985.24/297.04	         Details of failed attempt(s):
985.24/297.04	         -----------------------------
985.24/297.04	         1) 'Bounds with minimal-enrichment and initial automaton 'match''
985.24/297.04	            failed due to the following reason:
985.24/297.04	            
985.24/297.04	            match-boundness of the problem could not be verified.
985.24/297.04	         
985.24/297.04	         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
985.24/297.04	            failed due to the following reason:
985.24/297.04	            
985.24/297.04	            match-boundness of the problem could not be verified.
985.24/297.04	         
985.24/297.04	      
985.24/297.04	   
985.24/297.04	
985.24/297.04	
985.24/297.04	Arrrr..
986.80/298.51	EOF