MAYBE
1024.38/297.06	MAYBE
1024.38/297.06	
1024.38/297.06	We are left with following problem, upon which TcT provides the
1024.38/297.06	certificate MAYBE.
1024.38/297.06	
1024.38/297.06	Strict Trs:
1024.38/297.06	  { a____(X1, X2) -> __(X1, X2)
1024.38/297.06	  , a____(X, nil()) -> mark(X)
1024.38/297.06	  , a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z)))
1024.38/297.06	  , a____(nil(), X) -> mark(X)
1024.38/297.06	  , mark(__(X1, X2)) -> a____(mark(X1), mark(X2))
1024.38/297.06	  , mark(nil()) -> nil()
1024.38/297.06	  , mark(tt()) -> tt()
1024.38/297.06	  , mark(isPalListKind(X)) -> a__isPalListKind(X)
1024.38/297.06	  , mark(and(X1, X2)) -> a__and(mark(X1), X2)
1024.38/297.06	  , mark(isPal(X)) -> a__isPal(X)
1024.38/297.06	  , mark(a()) -> a()
1024.38/297.06	  , mark(e()) -> e()
1024.38/297.06	  , mark(i()) -> i()
1024.38/297.06	  , mark(o()) -> o()
1024.38/297.06	  , mark(u()) -> u()
1024.38/297.06	  , mark(U11(X1, X2)) -> a__U11(mark(X1), X2)
1024.38/297.06	  , mark(U12(X)) -> a__U12(mark(X))
1024.38/297.06	  , mark(isNeList(X)) -> a__isNeList(X)
1024.38/297.06	  , mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3)
1024.38/297.06	  , mark(U22(X1, X2)) -> a__U22(mark(X1), X2)
1024.38/297.06	  , mark(isList(X)) -> a__isList(X)
1024.38/297.06	  , mark(U23(X)) -> a__U23(mark(X))
1024.38/297.06	  , mark(U31(X1, X2)) -> a__U31(mark(X1), X2)
1024.38/297.06	  , mark(U32(X)) -> a__U32(mark(X))
1024.38/297.06	  , mark(isQid(X)) -> a__isQid(X)
1024.38/297.06	  , mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3)
1024.38/297.06	  , mark(U42(X1, X2)) -> a__U42(mark(X1), X2)
1024.38/297.06	  , mark(U43(X)) -> a__U43(mark(X))
1024.38/297.06	  , mark(U51(X1, X2, X3)) -> a__U51(mark(X1), X2, X3)
1024.38/297.06	  , mark(U52(X1, X2)) -> a__U52(mark(X1), X2)
1024.38/297.06	  , mark(U53(X)) -> a__U53(mark(X))
1024.38/297.06	  , mark(U61(X1, X2)) -> a__U61(mark(X1), X2)
1024.38/297.06	  , mark(U62(X)) -> a__U62(mark(X))
1024.38/297.06	  , mark(U71(X1, X2)) -> a__U71(mark(X1), X2)
1024.38/297.06	  , mark(U72(X)) -> a__U72(mark(X))
1024.38/297.06	  , mark(isNePal(X)) -> a__isNePal(X)
1024.38/297.06	  , a__U11(X1, X2) -> U11(X1, X2)
1024.38/297.06	  , a__U11(tt(), V) -> a__U12(a__isNeList(V))
1024.38/297.06	  , a__U12(X) -> U12(X)
1024.38/297.06	  , a__U12(tt()) -> tt()
1024.38/297.06	  , a__isNeList(V) -> a__U31(a__isPalListKind(V), V)
1024.38/297.06	  , a__isNeList(X) -> isNeList(X)
1024.38/297.06	  , a__isNeList(__(V1, V2)) ->
1024.38/297.06	    a__U41(a__and(a__isPalListKind(V1), isPalListKind(V2)), V1, V2)
1024.38/297.06	  , a__isNeList(__(V1, V2)) ->
1024.38/297.06	    a__U51(a__and(a__isPalListKind(V1), isPalListKind(V2)), V1, V2)
1024.38/297.06	  , a__U21(X1, X2, X3) -> U21(X1, X2, X3)
1024.38/297.06	  , a__U21(tt(), V1, V2) -> a__U22(a__isList(V1), V2)
1024.38/297.06	  , a__U22(X1, X2) -> U22(X1, X2)
1024.38/297.06	  , a__U22(tt(), V2) -> a__U23(a__isList(V2))
1024.38/297.06	  , a__isList(V) -> a__U11(a__isPalListKind(V), V)
1024.38/297.06	  , a__isList(X) -> isList(X)
1024.38/297.06	  , a__isList(__(V1, V2)) ->
1024.38/297.06	    a__U21(a__and(a__isPalListKind(V1), isPalListKind(V2)), V1, V2)
1024.38/297.06	  , a__isList(nil()) -> tt()
1024.38/297.06	  , a__U23(X) -> U23(X)
1024.38/297.06	  , a__U23(tt()) -> tt()
1024.38/297.06	  , a__U31(X1, X2) -> U31(X1, X2)
1024.38/297.06	  , a__U31(tt(), V) -> a__U32(a__isQid(V))
1024.38/297.06	  , a__U32(X) -> U32(X)
1024.38/297.06	  , a__U32(tt()) -> tt()
1024.38/297.06	  , a__isQid(X) -> isQid(X)
1024.38/297.06	  , a__isQid(a()) -> tt()
1024.38/297.06	  , a__isQid(e()) -> tt()
1024.38/297.06	  , a__isQid(i()) -> tt()
1024.38/297.06	  , a__isQid(o()) -> tt()
1024.38/297.06	  , a__isQid(u()) -> tt()
1024.38/297.06	  , a__U41(X1, X2, X3) -> U41(X1, X2, X3)
1024.38/297.06	  , a__U41(tt(), V1, V2) -> a__U42(a__isList(V1), V2)
1024.38/297.06	  , a__U42(X1, X2) -> U42(X1, X2)
1024.38/297.06	  , a__U42(tt(), V2) -> a__U43(a__isNeList(V2))
1024.38/297.06	  , a__U43(X) -> U43(X)
1024.38/297.06	  , a__U43(tt()) -> tt()
1024.38/297.06	  , a__U51(X1, X2, X3) -> U51(X1, X2, X3)
1024.38/297.06	  , a__U51(tt(), V1, V2) -> a__U52(a__isNeList(V1), V2)
1024.38/297.06	  , a__U52(X1, X2) -> U52(X1, X2)
1024.38/297.06	  , a__U52(tt(), V2) -> a__U53(a__isList(V2))
1024.38/297.06	  , a__U53(X) -> U53(X)
1024.38/297.06	  , a__U53(tt()) -> tt()
1024.38/297.06	  , a__U61(X1, X2) -> U61(X1, X2)
1024.38/297.06	  , a__U61(tt(), V) -> a__U62(a__isQid(V))
1024.38/297.06	  , a__U62(X) -> U62(X)
1024.38/297.06	  , a__U62(tt()) -> tt()
1024.38/297.06	  , a__U71(X1, X2) -> U71(X1, X2)
1024.38/297.06	  , a__U71(tt(), V) -> a__U72(a__isNePal(V))
1024.38/297.06	  , a__U72(X) -> U72(X)
1024.38/297.06	  , a__U72(tt()) -> tt()
1024.38/297.06	  , a__isNePal(V) -> a__U61(a__isPalListKind(V), V)
1024.38/297.06	  , a__isNePal(X) -> isNePal(X)
1024.38/297.06	  , a__isNePal(__(I, __(P, I))) ->
1024.38/297.06	    a__and(a__and(a__isQid(I), isPalListKind(I)),
1024.38/297.06	           and(isPal(P), isPalListKind(P)))
1024.38/297.06	  , a__and(X1, X2) -> and(X1, X2)
1024.38/297.06	  , a__and(tt(), X) -> mark(X)
1024.38/297.06	  , a__isPalListKind(X) -> isPalListKind(X)
1024.38/297.06	  , a__isPalListKind(__(V1, V2)) ->
1024.38/297.06	    a__and(a__isPalListKind(V1), isPalListKind(V2))
1024.38/297.06	  , a__isPalListKind(nil()) -> tt()
1024.38/297.06	  , a__isPalListKind(a()) -> tt()
1024.38/297.06	  , a__isPalListKind(e()) -> tt()
1024.38/297.06	  , a__isPalListKind(i()) -> tt()
1024.38/297.06	  , a__isPalListKind(o()) -> tt()
1024.38/297.06	  , a__isPalListKind(u()) -> tt()
1024.38/297.06	  , a__isPal(V) -> a__U71(a__isPalListKind(V), V)
1024.38/297.06	  , a__isPal(X) -> isPal(X)
1024.38/297.06	  , a__isPal(nil()) -> tt() }
1024.38/297.06	Obligation:
1024.38/297.06	  innermost runtime complexity
1024.38/297.06	Answer:
1024.38/297.06	  MAYBE
1024.38/297.06	
1024.38/297.06	None of the processors succeeded.
1024.38/297.06	
1024.38/297.06	Details of failed attempt(s):
1024.38/297.06	-----------------------------
1024.38/297.06	1) 'empty' failed due to the following reason:
1024.38/297.06	   
1024.38/297.06	   Empty strict component of the problem is NOT empty.
1024.38/297.06	
1024.38/297.06	2) 'Best' failed due to the following reason:
1024.38/297.06	   
1024.38/297.06	   None of the processors succeeded.
1024.38/297.06	   
1024.38/297.06	   Details of failed attempt(s):
1024.38/297.06	   -----------------------------
1024.38/297.06	   1) 'With Problem ... (timeout of 297 seconds)' failed due to the
1024.38/297.06	      following reason:
1024.38/297.06	      
1024.38/297.06	      Computation stopped due to timeout after 297.0 seconds.
1024.38/297.06	   
1024.38/297.06	   2) 'Best' failed due to the following reason:
1024.38/297.06	      
1024.38/297.06	      None of the processors succeeded.
1024.38/297.06	      
1024.38/297.06	      Details of failed attempt(s):
1024.38/297.06	      -----------------------------
1024.38/297.06	      1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
1024.38/297.06	         seconds)' failed due to the following reason:
1024.38/297.06	         
1024.38/297.06	         Computation stopped due to timeout after 148.0 seconds.
1024.38/297.06	      
1024.38/297.06	      2) 'Best' failed due to the following reason:
1024.38/297.06	         
1024.38/297.06	         None of the processors succeeded.
1024.38/297.06	         
1024.38/297.06	         Details of failed attempt(s):
1024.38/297.06	         -----------------------------
1024.38/297.06	         1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
1024.38/297.06	            to the following reason:
1024.38/297.06	            
1024.38/297.06	            The input cannot be shown compatible
1024.38/297.06	         
1024.38/297.06	         2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
1024.38/297.06	            following reason:
1024.38/297.06	            
1024.38/297.06	            The input cannot be shown compatible
1024.38/297.06	         
1024.38/297.06	      
1024.38/297.06	      3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
1024.38/297.06	         failed due to the following reason:
1024.38/297.06	         
1024.38/297.06	         None of the processors succeeded.
1024.38/297.06	         
1024.38/297.06	         Details of failed attempt(s):
1024.38/297.06	         -----------------------------
1024.38/297.06	         1) 'Bounds with minimal-enrichment and initial automaton 'match''
1024.38/297.06	            failed due to the following reason:
1024.38/297.06	            
1024.38/297.06	            match-boundness of the problem could not be verified.
1024.38/297.06	         
1024.38/297.06	         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
1024.38/297.06	            failed due to the following reason:
1024.38/297.06	            
1024.38/297.06	            match-boundness of the problem could not be verified.
1024.38/297.06	         
1024.38/297.06	      
1024.38/297.06	   
1024.38/297.06	
1024.38/297.06	
1024.38/297.06	Arrrr..
1027.38/299.95	EOF