Problem Transformed CSR 04 Ex6 15 AEL02 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex6 15 AEL02 GM

stdout:

MAYBE

Problem:
a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
a__sel(0(),cons(X,Z)) -> mark(X)
a__first(0(),Z) -> nil()
a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z))
a__from(X) -> cons(mark(X),from(s(X)))
a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
a__sel1(0(),cons(X,Z)) -> a__quote(X)
a__first1(0(),Z) -> nil1()
a__first1(s(X),cons(Y,Z)) -> cons1(a__quote(Y),a__first1(mark(X),mark(Z)))
a__quote(0()) -> 01()
a__quote1(cons(X,Z)) -> cons1(a__quote(X),a__quote1(Z))
a__quote1(nil()) -> nil1()
a__quote(s(X)) -> s1(a__quote(X))
a__quote(sel(X,Z)) -> a__sel1(mark(X),mark(Z))
a__quote1(first(X,Z)) -> a__first1(mark(X),mark(Z))
a__unquote(01()) -> 0()
a__unquote(s1(X)) -> s(a__unquote(mark(X)))
a__unquote1(nil1()) -> nil()
a__unquote1(cons1(X,Z)) -> a__fcons(a__unquote(mark(X)),a__unquote1(mark(Z)))
a__fcons(X,Z) -> cons(mark(X),Z)
mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
mark(first(X1,X2)) -> a__first(mark(X1),mark(X2))
mark(from(X)) -> a__from(mark(X))
mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
mark(quote(X)) -> a__quote(X)
mark(first1(X1,X2)) -> a__first1(mark(X1),mark(X2))
mark(quote1(X)) -> a__quote1(X)
mark(unquote(X)) -> a__unquote(mark(X))
mark(unquote1(X)) -> a__unquote1(mark(X))
mark(fcons(X1,X2)) -> a__fcons(mark(X1),mark(X2))
mark(s(X)) -> s(mark(X))
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(0()) -> 0()
mark(nil()) -> nil()
mark(nil1()) -> nil1()
mark(cons1(X1,X2)) -> cons1(mark(X1),mark(X2))
mark(01()) -> 01()
mark(s1(X)) -> s1(mark(X))
a__sel(X1,X2) -> sel(X1,X2)
a__first(X1,X2) -> first(X1,X2)
a__from(X) -> from(X)
a__sel1(X1,X2) -> sel1(X1,X2)
a__quote(X) -> quote(X)
a__first1(X1,X2) -> first1(X1,X2)
a__quote1(X) -> quote1(X)
a__unquote(X) -> unquote(X)
a__unquote1(X) -> unquote1(X)
a__fcons(X1,X2) -> fcons(X1,X2)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex6 15 AEL02 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex6 15 AEL02 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z))
     , a__sel(0(), cons(X, Z)) -> mark(X)
     , a__first(0(), Z) -> nil()
     , a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z))
     , a__from(X) -> cons(mark(X), from(s(X)))
     , a__sel1(s(X), cons(Y, Z)) -> a__sel1(mark(X), mark(Z))
     , a__sel1(0(), cons(X, Z)) -> a__quote(X)
     , a__first1(0(), Z) -> nil1()
     , a__first1(s(X), cons(Y, Z)) ->
       cons1(a__quote(Y), a__first1(mark(X), mark(Z)))
     , a__quote(0()) -> 01()
     , a__quote1(cons(X, Z)) -> cons1(a__quote(X), a__quote1(Z))
     , a__quote1(nil()) -> nil1()
     , a__quote(s(X)) -> s1(a__quote(X))
     , a__quote(sel(X, Z)) -> a__sel1(mark(X), mark(Z))
     , a__quote1(first(X, Z)) -> a__first1(mark(X), mark(Z))
     , a__unquote(01()) -> 0()
     , a__unquote(s1(X)) -> s(a__unquote(mark(X)))
     , a__unquote1(nil1()) -> nil()
     , a__unquote1(cons1(X, Z)) ->
       a__fcons(a__unquote(mark(X)), a__unquote1(mark(Z)))
     , a__fcons(X, Z) -> cons(mark(X), Z)
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
     , mark(from(X)) -> a__from(mark(X))
     , mark(sel1(X1, X2)) -> a__sel1(mark(X1), mark(X2))
     , mark(quote(X)) -> a__quote(X)
     , mark(first1(X1, X2)) -> a__first1(mark(X1), mark(X2))
     , mark(quote1(X)) -> a__quote1(X)
     , mark(unquote(X)) -> a__unquote(mark(X))
     , mark(unquote1(X)) -> a__unquote1(mark(X))
     , mark(fcons(X1, X2)) -> a__fcons(mark(X1), mark(X2))
     , mark(s(X)) -> s(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(nil()) -> nil()
     , mark(nil1()) -> nil1()
     , mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2))
     , mark(01()) -> 01()
     , mark(s1(X)) -> s1(mark(X))
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__first(X1, X2) -> first(X1, X2)
     , a__from(X) -> from(X)
     , a__sel1(X1, X2) -> sel1(X1, X2)
     , a__quote(X) -> quote(X)
     , a__first1(X1, X2) -> first1(X1, X2)
     , a__quote1(X) -> quote1(X)
     , a__unquote(X) -> unquote(X)
     , a__unquote1(X) -> unquote1(X)
     , a__fcons(X1, X2) -> fcons(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex6 15 AEL02 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex6 15 AEL02 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z))
     , a__sel(0(), cons(X, Z)) -> mark(X)
     , a__first(0(), Z) -> nil()
     , a__first(s(X), cons(Y, Z)) -> cons(mark(Y), first(X, Z))
     , a__from(X) -> cons(mark(X), from(s(X)))
     , a__sel1(s(X), cons(Y, Z)) -> a__sel1(mark(X), mark(Z))
     , a__sel1(0(), cons(X, Z)) -> a__quote(X)
     , a__first1(0(), Z) -> nil1()
     , a__first1(s(X), cons(Y, Z)) ->
       cons1(a__quote(Y), a__first1(mark(X), mark(Z)))
     , a__quote(0()) -> 01()
     , a__quote1(cons(X, Z)) -> cons1(a__quote(X), a__quote1(Z))
     , a__quote1(nil()) -> nil1()
     , a__quote(s(X)) -> s1(a__quote(X))
     , a__quote(sel(X, Z)) -> a__sel1(mark(X), mark(Z))
     , a__quote1(first(X, Z)) -> a__first1(mark(X), mark(Z))
     , a__unquote(01()) -> 0()
     , a__unquote(s1(X)) -> s(a__unquote(mark(X)))
     , a__unquote1(nil1()) -> nil()
     , a__unquote1(cons1(X, Z)) ->
       a__fcons(a__unquote(mark(X)), a__unquote1(mark(Z)))
     , a__fcons(X, Z) -> cons(mark(X), Z)
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(first(X1, X2)) -> a__first(mark(X1), mark(X2))
     , mark(from(X)) -> a__from(mark(X))
     , mark(sel1(X1, X2)) -> a__sel1(mark(X1), mark(X2))
     , mark(quote(X)) -> a__quote(X)
     , mark(first1(X1, X2)) -> a__first1(mark(X1), mark(X2))
     , mark(quote1(X)) -> a__quote1(X)
     , mark(unquote(X)) -> a__unquote(mark(X))
     , mark(unquote1(X)) -> a__unquote1(mark(X))
     , mark(fcons(X1, X2)) -> a__fcons(mark(X1), mark(X2))
     , mark(s(X)) -> s(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(nil()) -> nil()
     , mark(nil1()) -> nil1()
     , mark(cons1(X1, X2)) -> cons1(mark(X1), mark(X2))
     , mark(01()) -> 01()
     , mark(s1(X)) -> s1(mark(X))
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__first(X1, X2) -> first(X1, X2)
     , a__from(X) -> from(X)
     , a__sel1(X1, X2) -> sel1(X1, X2)
     , a__quote(X) -> quote(X)
     , a__first1(X1, X2) -> first1(X1, X2)
     , a__quote1(X) -> quote1(X)
     , a__unquote(X) -> unquote(X)
     , a__unquote1(X) -> unquote1(X)
     , a__fcons(X1, X2) -> fcons(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds