Problem Transformed CSR 04 Ex5 7 Luc97 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex5 7 Luc97 GM

stdout:

MAYBE

Problem:
a__dbl(0()) -> 0()
a__dbl(s(X)) -> s(s(dbl(X)))
a__dbls(nil()) -> nil()
a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
a__sel(0(),cons(X,Y)) -> mark(X)
a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
a__indx(nil(),X) -> nil()
a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
a__from(X) -> cons(X,from(s(X)))
a__dbl1(0()) -> 01()
a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
a__sel1(0(),cons(X,Y)) -> mark(X)
a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
a__quote(0()) -> 01()
a__quote(s(X)) -> s1(a__quote(mark(X)))
a__quote(dbl(X)) -> a__dbl1(mark(X))
a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
mark(dbl(X)) -> a__dbl(mark(X))
mark(dbls(X)) -> a__dbls(mark(X))
mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
mark(from(X)) -> a__from(X)
mark(dbl1(X)) -> a__dbl1(mark(X))
mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
mark(quote(X)) -> a__quote(mark(X))
mark(0()) -> 0()
mark(s(X)) -> s(X)
mark(nil()) -> nil()
mark(cons(X1,X2)) -> cons(X1,X2)
mark(01()) -> 01()
mark(s1(X)) -> s1(mark(X))
a__dbl(X) -> dbl(X)
a__dbls(X) -> dbls(X)
a__sel(X1,X2) -> sel(X1,X2)
a__indx(X1,X2) -> indx(X1,X2)
a__from(X) -> from(X)
a__dbl1(X) -> dbl1(X)
a__sel1(X1,X2) -> sel1(X1,X2)
a__quote(X) -> quote(X)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex5 7 Luc97 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex5 7 Luc97 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__dbl(0()) -> 0()
     , a__dbl(s(X)) -> s(s(dbl(X)))
     , a__dbls(nil()) -> nil()
     , a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , a__sel(0(), cons(X, Y)) -> mark(X)
     , a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z))
     , a__indx(nil(), X) -> nil()
     , a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , a__from(X) -> cons(X, from(s(X)))
     , a__dbl1(0()) -> 01()
     , a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
     , a__sel1(0(), cons(X, Y)) -> mark(X)
     , a__sel1(s(X), cons(Y, Z)) -> a__sel1(mark(X), mark(Z))
     , a__quote(0()) -> 01()
     , a__quote(s(X)) -> s1(a__quote(mark(X)))
     , a__quote(dbl(X)) -> a__dbl1(mark(X))
     , a__quote(sel(X, Y)) -> a__sel1(mark(X), mark(Y))
     , mark(dbl(X)) -> a__dbl(mark(X))
     , mark(dbls(X)) -> a__dbls(mark(X))
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(indx(X1, X2)) -> a__indx(mark(X1), X2)
     , mark(from(X)) -> a__from(X)
     , mark(dbl1(X)) -> a__dbl1(mark(X))
     , mark(sel1(X1, X2)) -> a__sel1(mark(X1), mark(X2))
     , mark(quote(X)) -> a__quote(mark(X))
     , mark(0()) -> 0()
     , mark(s(X)) -> s(X)
     , mark(nil()) -> nil()
     , mark(cons(X1, X2)) -> cons(X1, X2)
     , mark(01()) -> 01()
     , mark(s1(X)) -> s1(mark(X))
     , a__dbl(X) -> dbl(X)
     , a__dbls(X) -> dbls(X)
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__indx(X1, X2) -> indx(X1, X2)
     , a__from(X) -> from(X)
     , a__dbl1(X) -> dbl1(X)
     , a__sel1(X1, X2) -> sel1(X1, X2)
     , a__quote(X) -> quote(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex5 7 Luc97 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex5 7 Luc97 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__dbl(0()) -> 0()
     , a__dbl(s(X)) -> s(s(dbl(X)))
     , a__dbls(nil()) -> nil()
     , a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , a__sel(0(), cons(X, Y)) -> mark(X)
     , a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z))
     , a__indx(nil(), X) -> nil()
     , a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , a__from(X) -> cons(X, from(s(X)))
     , a__dbl1(0()) -> 01()
     , a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
     , a__sel1(0(), cons(X, Y)) -> mark(X)
     , a__sel1(s(X), cons(Y, Z)) -> a__sel1(mark(X), mark(Z))
     , a__quote(0()) -> 01()
     , a__quote(s(X)) -> s1(a__quote(mark(X)))
     , a__quote(dbl(X)) -> a__dbl1(mark(X))
     , a__quote(sel(X, Y)) -> a__sel1(mark(X), mark(Y))
     , mark(dbl(X)) -> a__dbl(mark(X))
     , mark(dbls(X)) -> a__dbls(mark(X))
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(indx(X1, X2)) -> a__indx(mark(X1), X2)
     , mark(from(X)) -> a__from(X)
     , mark(dbl1(X)) -> a__dbl1(mark(X))
     , mark(sel1(X1, X2)) -> a__sel1(mark(X1), mark(X2))
     , mark(quote(X)) -> a__quote(mark(X))
     , mark(0()) -> 0()
     , mark(s(X)) -> s(X)
     , mark(nil()) -> nil()
     , mark(cons(X1, X2)) -> cons(X1, X2)
     , mark(01()) -> 01()
     , mark(s1(X)) -> s1(mark(X))
     , a__dbl(X) -> dbl(X)
     , a__dbls(X) -> dbls(X)
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__indx(X1, X2) -> indx(X1, X2)
     , a__from(X) -> from(X)
     , a__dbl1(X) -> dbl1(X)
     , a__sel1(X1, X2) -> sel1(X1, X2)
     , a__quote(X) -> quote(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds