Problem Transformed CSR 04 PALINDROME complete-noand Z

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 PALINDROME complete-noand Z

stdout:

MAYBE

Problem:
__(__(X,Y),Z) -> __(X,__(Y,Z))
__(X,nil()) -> X
__(nil(),X) -> X
U11(tt(),V) -> U12(isPalListKind(activate(V)),activate(V))
U12(tt(),V) -> U13(isNeList(activate(V)))
U13(tt()) -> tt()
U21(tt(),V1,V2) -> U22(isPalListKind(activate(V1)),activate(V1),activate(V2))
U22(tt(),V1,V2) -> U23(isPalListKind(activate(V2)),activate(V1),activate(V2))
U23(tt(),V1,V2) -> U24(isPalListKind(activate(V2)),activate(V1),activate(V2))
U24(tt(),V1,V2) -> U25(isList(activate(V1)),activate(V2))
U25(tt(),V2) -> U26(isList(activate(V2)))
U26(tt()) -> tt()
U31(tt(),V) -> U32(isPalListKind(activate(V)),activate(V))
U32(tt(),V) -> U33(isQid(activate(V)))
U33(tt()) -> tt()
U41(tt(),V1,V2) -> U42(isPalListKind(activate(V1)),activate(V1),activate(V2))
U42(tt(),V1,V2) -> U43(isPalListKind(activate(V2)),activate(V1),activate(V2))
U43(tt(),V1,V2) -> U44(isPalListKind(activate(V2)),activate(V1),activate(V2))
U44(tt(),V1,V2) -> U45(isList(activate(V1)),activate(V2))
U45(tt(),V2) -> U46(isNeList(activate(V2)))
U46(tt()) -> tt()
U51(tt(),V1,V2) -> U52(isPalListKind(activate(V1)),activate(V1),activate(V2))
U52(tt(),V1,V2) -> U53(isPalListKind(activate(V2)),activate(V1),activate(V2))
U53(tt(),V1,V2) -> U54(isPalListKind(activate(V2)),activate(V1),activate(V2))
U54(tt(),V1,V2) -> U55(isNeList(activate(V1)),activate(V2))
U55(tt(),V2) -> U56(isList(activate(V2)))
U56(tt()) -> tt()
U61(tt(),V) -> U62(isPalListKind(activate(V)),activate(V))
U62(tt(),V) -> U63(isQid(activate(V)))
U63(tt()) -> tt()
U71(tt(),I,P) -> U72(isPalListKind(activate(I)),activate(P))
U72(tt(),P) -> U73(isPal(activate(P)),activate(P))
U73(tt(),P) -> U74(isPalListKind(activate(P)))
U74(tt()) -> tt()
U81(tt(),V) -> U82(isPalListKind(activate(V)),activate(V))
U82(tt(),V) -> U83(isNePal(activate(V)))
U83(tt()) -> tt()
U91(tt(),V2) -> U92(isPalListKind(activate(V2)))
U92(tt()) -> tt()
isList(V) -> U11(isPalListKind(activate(V)),activate(V))
isList(n__nil()) -> tt()
isList(n____(V1,V2)) -> U21(isPalListKind(activate(V1)),activate(V1),activate(V2))
isNeList(V) -> U31(isPalListKind(activate(V)),activate(V))
isNeList(n____(V1,V2)) -> U41(isPalListKind(activate(V1)),activate(V1),activate(V2))
isNeList(n____(V1,V2)) -> U51(isPalListKind(activate(V1)),activate(V1),activate(V2))
isNePal(V) -> U61(isPalListKind(activate(V)),activate(V))
isNePal(n____(I,__(P,I))) -> U71(isQid(activate(I)),activate(I),activate(P))
isPal(V) -> U81(isPalListKind(activate(V)),activate(V))
isPal(n__nil()) -> tt()
isPalListKind(n__a()) -> tt()
isPalListKind(n__e()) -> tt()
isPalListKind(n__i()) -> tt()
isPalListKind(n__nil()) -> tt()
isPalListKind(n__o()) -> tt()
isPalListKind(n__u()) -> tt()
isPalListKind(n____(V1,V2)) -> U91(isPalListKind(activate(V1)),activate(V2))
isQid(n__a()) -> tt()
isQid(n__e()) -> tt()
isQid(n__i()) -> tt()
isQid(n__o()) -> tt()
isQid(n__u()) -> tt()
nil() -> n__nil()
__(X1,X2) -> n____(X1,X2)
a() -> n__a()
e() -> n__e()
i() -> n__i()
o() -> n__o()
u() -> n__u()
activate(n__nil()) -> nil()
activate(n____(X1,X2)) -> __(X1,X2)
activate(n__a()) -> a()
activate(n__e()) -> e()
activate(n__i()) -> i()
activate(n__o()) -> o()
activate(n__u()) -> u()
activate(X) -> X

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 PALINDROME complete-noand Z

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 PALINDROME complete-noand Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  __(__(X, Y), Z) -> __(X, __(Y, Z))
     , __(X, nil()) -> X
     , __(nil(), X) -> X
     , U11(tt(), V) -> U12(isPalListKind(activate(V)), activate(V))
     , U12(tt(), V) -> U13(isNeList(activate(V)))
     , U13(tt()) -> tt()
     , U21(tt(), V1, V2) ->
       U22(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , U22(tt(), V1, V2) ->
       U23(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U23(tt(), V1, V2) ->
       U24(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U24(tt(), V1, V2) -> U25(isList(activate(V1)), activate(V2))
     , U25(tt(), V2) -> U26(isList(activate(V2)))
     , U26(tt()) -> tt()
     , U31(tt(), V) -> U32(isPalListKind(activate(V)), activate(V))
     , U32(tt(), V) -> U33(isQid(activate(V)))
     , U33(tt()) -> tt()
     , U41(tt(), V1, V2) ->
       U42(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , U42(tt(), V1, V2) ->
       U43(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U43(tt(), V1, V2) ->
       U44(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U44(tt(), V1, V2) -> U45(isList(activate(V1)), activate(V2))
     , U45(tt(), V2) -> U46(isNeList(activate(V2)))
     , U46(tt()) -> tt()
     , U51(tt(), V1, V2) ->
       U52(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , U52(tt(), V1, V2) ->
       U53(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U53(tt(), V1, V2) ->
       U54(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U54(tt(), V1, V2) -> U55(isNeList(activate(V1)), activate(V2))
     , U55(tt(), V2) -> U56(isList(activate(V2)))
     , U56(tt()) -> tt()
     , U61(tt(), V) -> U62(isPalListKind(activate(V)), activate(V))
     , U62(tt(), V) -> U63(isQid(activate(V)))
     , U63(tt()) -> tt()
     , U71(tt(), I, P) -> U72(isPalListKind(activate(I)), activate(P))
     , U72(tt(), P) -> U73(isPal(activate(P)), activate(P))
     , U73(tt(), P) -> U74(isPalListKind(activate(P)))
     , U74(tt()) -> tt()
     , U81(tt(), V) -> U82(isPalListKind(activate(V)), activate(V))
     , U82(tt(), V) -> U83(isNePal(activate(V)))
     , U83(tt()) -> tt()
     , U91(tt(), V2) -> U92(isPalListKind(activate(V2)))
     , U92(tt()) -> tt()
     , isList(V) -> U11(isPalListKind(activate(V)), activate(V))
     , isList(n__nil()) -> tt()
     , isList(n____(V1, V2)) ->
       U21(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , isNeList(V) -> U31(isPalListKind(activate(V)), activate(V))
     , isNeList(n____(V1, V2)) ->
       U41(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , isNeList(n____(V1, V2)) ->
       U51(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , isNePal(V) -> U61(isPalListKind(activate(V)), activate(V))
     , isNePal(n____(I, __(P, I))) ->
       U71(isQid(activate(I)), activate(I), activate(P))
     , isPal(V) -> U81(isPalListKind(activate(V)), activate(V))
     , isPal(n__nil()) -> tt()
     , isPalListKind(n__a()) -> tt()
     , isPalListKind(n__e()) -> tt()
     , isPalListKind(n__i()) -> tt()
     , isPalListKind(n__nil()) -> tt()
     , isPalListKind(n__o()) -> tt()
     , isPalListKind(n__u()) -> tt()
     , isPalListKind(n____(V1, V2)) ->
       U91(isPalListKind(activate(V1)), activate(V2))
     , isQid(n__a()) -> tt()
     , isQid(n__e()) -> tt()
     , isQid(n__i()) -> tt()
     , isQid(n__o()) -> tt()
     , isQid(n__u()) -> tt()
     , nil() -> n__nil()
     , __(X1, X2) -> n____(X1, X2)
     , a() -> n__a()
     , e() -> n__e()
     , i() -> n__i()
     , o() -> n__o()
     , u() -> n__u()
     , activate(n__nil()) -> nil()
     , activate(n____(X1, X2)) -> __(X1, X2)
     , activate(n__a()) -> a()
     , activate(n__e()) -> e()
     , activate(n__i()) -> i()
     , activate(n__o()) -> o()
     , activate(n__u()) -> u()
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 PALINDROME complete-noand Z

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 PALINDROME complete-noand Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  __(__(X, Y), Z) -> __(X, __(Y, Z))
     , __(X, nil()) -> X
     , __(nil(), X) -> X
     , U11(tt(), V) -> U12(isPalListKind(activate(V)), activate(V))
     , U12(tt(), V) -> U13(isNeList(activate(V)))
     , U13(tt()) -> tt()
     , U21(tt(), V1, V2) ->
       U22(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , U22(tt(), V1, V2) ->
       U23(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U23(tt(), V1, V2) ->
       U24(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U24(tt(), V1, V2) -> U25(isList(activate(V1)), activate(V2))
     , U25(tt(), V2) -> U26(isList(activate(V2)))
     , U26(tt()) -> tt()
     , U31(tt(), V) -> U32(isPalListKind(activate(V)), activate(V))
     , U32(tt(), V) -> U33(isQid(activate(V)))
     , U33(tt()) -> tt()
     , U41(tt(), V1, V2) ->
       U42(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , U42(tt(), V1, V2) ->
       U43(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U43(tt(), V1, V2) ->
       U44(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U44(tt(), V1, V2) -> U45(isList(activate(V1)), activate(V2))
     , U45(tt(), V2) -> U46(isNeList(activate(V2)))
     , U46(tt()) -> tt()
     , U51(tt(), V1, V2) ->
       U52(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , U52(tt(), V1, V2) ->
       U53(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U53(tt(), V1, V2) ->
       U54(isPalListKind(activate(V2)), activate(V1), activate(V2))
     , U54(tt(), V1, V2) -> U55(isNeList(activate(V1)), activate(V2))
     , U55(tt(), V2) -> U56(isList(activate(V2)))
     , U56(tt()) -> tt()
     , U61(tt(), V) -> U62(isPalListKind(activate(V)), activate(V))
     , U62(tt(), V) -> U63(isQid(activate(V)))
     , U63(tt()) -> tt()
     , U71(tt(), I, P) -> U72(isPalListKind(activate(I)), activate(P))
     , U72(tt(), P) -> U73(isPal(activate(P)), activate(P))
     , U73(tt(), P) -> U74(isPalListKind(activate(P)))
     , U74(tt()) -> tt()
     , U81(tt(), V) -> U82(isPalListKind(activate(V)), activate(V))
     , U82(tt(), V) -> U83(isNePal(activate(V)))
     , U83(tt()) -> tt()
     , U91(tt(), V2) -> U92(isPalListKind(activate(V2)))
     , U92(tt()) -> tt()
     , isList(V) -> U11(isPalListKind(activate(V)), activate(V))
     , isList(n__nil()) -> tt()
     , isList(n____(V1, V2)) ->
       U21(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , isNeList(V) -> U31(isPalListKind(activate(V)), activate(V))
     , isNeList(n____(V1, V2)) ->
       U41(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , isNeList(n____(V1, V2)) ->
       U51(isPalListKind(activate(V1)), activate(V1), activate(V2))
     , isNePal(V) -> U61(isPalListKind(activate(V)), activate(V))
     , isNePal(n____(I, __(P, I))) ->
       U71(isQid(activate(I)), activate(I), activate(P))
     , isPal(V) -> U81(isPalListKind(activate(V)), activate(V))
     , isPal(n__nil()) -> tt()
     , isPalListKind(n__a()) -> tt()
     , isPalListKind(n__e()) -> tt()
     , isPalListKind(n__i()) -> tt()
     , isPalListKind(n__nil()) -> tt()
     , isPalListKind(n__o()) -> tt()
     , isPalListKind(n__u()) -> tt()
     , isPalListKind(n____(V1, V2)) ->
       U91(isPalListKind(activate(V1)), activate(V2))
     , isQid(n__a()) -> tt()
     , isQid(n__e()) -> tt()
     , isQid(n__i()) -> tt()
     , isQid(n__o()) -> tt()
     , isQid(n__u()) -> tt()
     , nil() -> n__nil()
     , __(X1, X2) -> n____(X1, X2)
     , a() -> n__a()
     , e() -> n__e()
     , i() -> n__i()
     , o() -> n__o()
     , u() -> n__u()
     , activate(n__nil()) -> nil()
     , activate(n____(X1, X2)) -> __(X1, X2)
     , activate(n__a()) -> a()
     , activate(n__e()) -> e()
     , activate(n__i()) -> i()
     , activate(n__o()) -> o()
     , activate(n__u()) -> u()
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds