Problem Transformed CSR 04 Ex8 BLR02 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex8 BLR02 GM

stdout:

MAYBE

Problem:
a__fib(N) -> a__sel(mark(N),a__fib1(s(0()),s(0())))
a__fib1(X,Y) -> cons(mark(X),fib1(Y,add(X,Y)))
a__add(0(),X) -> mark(X)
a__add(s(X),Y) -> s(a__add(mark(X),mark(Y)))
a__sel(0(),cons(X,XS)) -> mark(X)
a__sel(s(N),cons(X,XS)) -> a__sel(mark(N),mark(XS))
mark(fib(X)) -> a__fib(mark(X))
mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
mark(fib1(X1,X2)) -> a__fib1(mark(X1),mark(X2))
mark(add(X1,X2)) -> a__add(mark(X1),mark(X2))
mark(s(X)) -> s(mark(X))
mark(0()) -> 0()
mark(cons(X1,X2)) -> cons(mark(X1),X2)
a__fib(X) -> fib(X)
a__sel(X1,X2) -> sel(X1,X2)
a__fib1(X1,X2) -> fib1(X1,X2)
a__add(X1,X2) -> add(X1,X2)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex8 BLR02 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex8 BLR02 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__fib(N) -> a__sel(mark(N), a__fib1(s(0()), s(0())))
     , a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y)))
     , a__add(0(), X) -> mark(X)
     , a__add(s(X), Y) -> s(a__add(mark(X), mark(Y)))
     , a__sel(0(), cons(X, XS)) -> mark(X)
     , a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS))
     , mark(fib(X)) -> a__fib(mark(X))
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2))
     , mark(add(X1, X2)) -> a__add(mark(X1), mark(X2))
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , a__fib(X) -> fib(X)
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__fib1(X1, X2) -> fib1(X1, X2)
     , a__add(X1, X2) -> add(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex8 BLR02 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex8 BLR02 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__fib(N) -> a__sel(mark(N), a__fib1(s(0()), s(0())))
     , a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y)))
     , a__add(0(), X) -> mark(X)
     , a__add(s(X), Y) -> s(a__add(mark(X), mark(Y)))
     , a__sel(0(), cons(X, XS)) -> mark(X)
     , a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS))
     , mark(fib(X)) -> a__fib(mark(X))
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2))
     , mark(add(X1, X2)) -> a__add(mark(X1), mark(X2))
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , a__fib(X) -> fib(X)
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__fib1(X1, X2) -> fib1(X1, X2)
     , a__add(X1, X2) -> add(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds