Problem Strategy outermost added 08 ExIntrod GM04 Z

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM04 Z

stdout:

MAYBE

Problem:
nats() -> adx(zeros())
zeros() -> cons(n__0(),n__zeros())
incr(cons(X,Y)) -> cons(n__s(activate(X)),n__incr(activate(Y)))
adx(cons(X,Y)) -> incr(cons(activate(X),n__adx(activate(Y))))
hd(cons(X,Y)) -> activate(X)
tl(cons(X,Y)) -> activate(Y)
0() -> n__0()
zeros() -> n__zeros()
s(X) -> n__s(X)
incr(X) -> n__incr(X)
adx(X) -> n__adx(X)
activate(n__0()) -> 0()
activate(n__zeros()) -> zeros()
activate(n__s(X)) -> s(X)
activate(n__incr(X)) -> incr(X)
activate(n__adx(X)) -> adx(X)
activate(X) -> X

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM04 Z

stdout:

MAYBE
Warning when parsing problem:

Unsupported strategy 'OUTERMOST'

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Strategy outermost added 08 ExIntrod GM04 Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  nats() -> adx(zeros())
     , zeros() -> cons(n__0(), n__zeros())
     , incr(cons(X, Y)) -> cons(n__s(activate(X)), n__incr(activate(Y)))
     , adx(cons(X, Y)) -> incr(cons(activate(X), n__adx(activate(Y))))
     , hd(cons(X, Y)) -> activate(X)
     , tl(cons(X, Y)) -> activate(Y)
     , 0() -> n__0()
     , zeros() -> n__zeros()
     , s(X) -> n__s(X)
     , incr(X) -> n__incr(X)
     , adx(X) -> n__adx(X)
     , activate(n__0()) -> 0()
     , activate(n__zeros()) -> zeros()
     , activate(n__s(X)) -> s(X)
     , activate(n__incr(X)) -> incr(X)
     , activate(n__adx(X)) -> adx(X)
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM04 Z

stdout:

MAYBE
Warning when parsing problem:

Unsupported strategy 'OUTERMOST'

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Strategy outermost added 08 ExIntrod GM04 Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  nats() -> adx(zeros())
     , zeros() -> cons(n__0(), n__zeros())
     , incr(cons(X, Y)) -> cons(n__s(activate(X)), n__incr(activate(Y)))
     , adx(cons(X, Y)) -> incr(cons(activate(X), n__adx(activate(Y))))
     , hd(cons(X, Y)) -> activate(X)
     , tl(cons(X, Y)) -> activate(Y)
     , 0() -> n__0()
     , zeros() -> n__zeros()
     , s(X) -> n__s(X)
     , incr(X) -> n__incr(X)
     , adx(X) -> n__adx(X)
     , activate(n__0()) -> 0()
     , activate(n__zeros()) -> zeros()
     , activate(n__s(X)) -> s(X)
     , activate(n__incr(X)) -> incr(X)
     , activate(n__adx(X)) -> adx(X)
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds