Problem Transformed CSR 04 Ex2 Luc03b FR

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex2 Luc03b FR

stdout:

MAYBE

Problem:
fst(0(),Z) -> nil()
fst(s(X),cons(Y,Z)) -> cons(Y,n__fst(activate(X),activate(Z)))
from(X) -> cons(X,n__from(n__s(X)))
add(0(),X) -> X
add(s(X),Y) -> s(n__add(activate(X),Y))
len(nil()) -> 0()
len(cons(X,Z)) -> s(n__len(activate(Z)))
fst(X1,X2) -> n__fst(X1,X2)
from(X) -> n__from(X)
s(X) -> n__s(X)
add(X1,X2) -> n__add(X1,X2)
len(X) -> n__len(X)
activate(n__fst(X1,X2)) -> fst(activate(X1),activate(X2))
activate(n__from(X)) -> from(activate(X))
activate(n__s(X)) -> s(X)
activate(n__add(X1,X2)) -> add(activate(X1),activate(X2))
activate(n__len(X)) -> len(activate(X))
activate(X) -> X

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex2 Luc03b FR

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex2 Luc03b FR

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  fst(0(), Z) -> nil()
     , fst(s(X), cons(Y, Z)) ->
       cons(Y, n__fst(activate(X), activate(Z)))
     , from(X) -> cons(X, n__from(n__s(X)))
     , add(0(), X) -> X
     , add(s(X), Y) -> s(n__add(activate(X), Y))
     , len(nil()) -> 0()
     , len(cons(X, Z)) -> s(n__len(activate(Z)))
     , fst(X1, X2) -> n__fst(X1, X2)
     , from(X) -> n__from(X)
     , s(X) -> n__s(X)
     , add(X1, X2) -> n__add(X1, X2)
     , len(X) -> n__len(X)
     , activate(n__fst(X1, X2)) -> fst(activate(X1), activate(X2))
     , activate(n__from(X)) -> from(activate(X))
     , activate(n__s(X)) -> s(X)
     , activate(n__add(X1, X2)) -> add(activate(X1), activate(X2))
     , activate(n__len(X)) -> len(activate(X))
     , 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 Ex2 Luc03b FR

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex2 Luc03b FR

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  fst(0(), Z) -> nil()
     , fst(s(X), cons(Y, Z)) ->
       cons(Y, n__fst(activate(X), activate(Z)))
     , from(X) -> cons(X, n__from(n__s(X)))
     , add(0(), X) -> X
     , add(s(X), Y) -> s(n__add(activate(X), Y))
     , len(nil()) -> 0()
     , len(cons(X, Z)) -> s(n__len(activate(Z)))
     , fst(X1, X2) -> n__fst(X1, X2)
     , from(X) -> n__from(X)
     , s(X) -> n__s(X)
     , add(X1, X2) -> n__add(X1, X2)
     , len(X) -> n__len(X)
     , activate(n__fst(X1, X2)) -> fst(activate(X1), activate(X2))
     , activate(n__from(X)) -> from(activate(X))
     , activate(n__s(X)) -> s(X)
     , activate(n__add(X1, X2)) -> add(activate(X1), activate(X2))
     , activate(n__len(X)) -> len(activate(X))
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds