Problem Transformed CSR 04 Ex15 Luc98 Z

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex15 Luc98 Z

stdout:

MAYBE

Problem:
and(true(),X) -> activate(X)
and(false(),Y) -> false()
if(true(),X,Y) -> activate(X)
if(false(),X,Y) -> activate(Y)
add(0(),X) -> activate(X)
add(s(X),Y) -> s(n__add(activate(X),activate(Y)))
first(0(),X) -> nil()
first(s(X),cons(Y,Z)) -> cons(activate(Y),n__first(activate(X),activate(Z)))
from(X) -> cons(activate(X),n__from(n__s(activate(X))))
add(X1,X2) -> n__add(X1,X2)
first(X1,X2) -> n__first(X1,X2)
from(X) -> n__from(X)
s(X) -> n__s(X)
activate(n__add(X1,X2)) -> add(X1,X2)
activate(n__first(X1,X2)) -> first(X1,X2)
activate(n__from(X)) -> from(X)
activate(n__s(X)) -> s(X)
activate(X) -> X

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex15 Luc98 Z

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex15 Luc98 Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  and(true(), X) -> activate(X)
     , and(false(), Y) -> false()
     , if(true(), X, Y) -> activate(X)
     , if(false(), X, Y) -> activate(Y)
     , add(0(), X) -> activate(X)
     , add(s(X), Y) -> s(n__add(activate(X), activate(Y)))
     , first(0(), X) -> nil()
     , first(s(X), cons(Y, Z)) ->
       cons(activate(Y), n__first(activate(X), activate(Z)))
     , from(X) -> cons(activate(X), n__from(n__s(activate(X))))
     , add(X1, X2) -> n__add(X1, X2)
     , first(X1, X2) -> n__first(X1, X2)
     , from(X) -> n__from(X)
     , s(X) -> n__s(X)
     , activate(n__add(X1, X2)) -> add(X1, X2)
     , activate(n__first(X1, X2)) -> first(X1, X2)
     , activate(n__from(X)) -> from(X)
     , activate(n__s(X)) -> s(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 Ex15 Luc98 Z

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex15 Luc98 Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  and(true(), X) -> activate(X)
     , and(false(), Y) -> false()
     , if(true(), X, Y) -> activate(X)
     , if(false(), X, Y) -> activate(Y)
     , add(0(), X) -> activate(X)
     , add(s(X), Y) -> s(n__add(activate(X), activate(Y)))
     , first(0(), X) -> nil()
     , first(s(X), cons(Y, Z)) ->
       cons(activate(Y), n__first(activate(X), activate(Z)))
     , from(X) -> cons(activate(X), n__from(n__s(activate(X))))
     , add(X1, X2) -> n__add(X1, X2)
     , first(X1, X2) -> n__first(X1, X2)
     , from(X) -> n__from(X)
     , s(X) -> n__s(X)
     , activate(n__add(X1, X2)) -> add(X1, X2)
     , activate(n__first(X1, X2)) -> first(X1, X2)
     , activate(n__from(X)) -> from(X)
     , activate(n__s(X)) -> s(X)
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds