Problem Transformed CSR 04 ExIntrod GM01 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

MAYBE

Problem:
a__incr(nil()) -> nil()
a__incr(cons(X,L)) -> cons(s(mark(X)),incr(L))
a__adx(nil()) -> nil()
a__adx(cons(X,L)) -> a__incr(cons(mark(X),adx(L)))
a__nats() -> a__adx(a__zeros())
a__zeros() -> cons(0(),zeros())
a__head(cons(X,L)) -> mark(X)
a__tail(cons(X,L)) -> mark(L)
mark(incr(X)) -> a__incr(mark(X))
mark(adx(X)) -> a__adx(mark(X))
mark(nats()) -> a__nats()
mark(zeros()) -> a__zeros()
mark(head(X)) -> a__head(mark(X))
mark(tail(X)) -> a__tail(mark(X))
mark(nil()) -> nil()
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(s(X)) -> s(mark(X))
mark(0()) -> 0()
a__incr(X) -> incr(X)
a__adx(X) -> adx(X)
a__nats() -> nats()
a__zeros() -> zeros()
a__head(X) -> head(X)
a__tail(X) -> tail(X)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__incr(nil()) -> nil()
     , a__incr(cons(X, L)) -> cons(s(mark(X)), incr(L))
     , a__adx(nil()) -> nil()
     , a__adx(cons(X, L)) -> a__incr(cons(mark(X), adx(L)))
     , a__nats() -> a__adx(a__zeros())
     , a__zeros() -> cons(0(), zeros())
     , a__head(cons(X, L)) -> mark(X)
     , a__tail(cons(X, L)) -> mark(L)
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(nats()) -> a__nats()
     , mark(zeros()) -> a__zeros()
     , mark(head(X)) -> a__head(mark(X))
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(nil()) -> nil()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , a__incr(X) -> incr(X)
     , a__adx(X) -> adx(X)
     , a__nats() -> nats()
     , a__zeros() -> zeros()
     , a__head(X) -> head(X)
     , a__tail(X) -> tail(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__incr(nil()) -> nil()
     , a__incr(cons(X, L)) -> cons(s(mark(X)), incr(L))
     , a__adx(nil()) -> nil()
     , a__adx(cons(X, L)) -> a__incr(cons(mark(X), adx(L)))
     , a__nats() -> a__adx(a__zeros())
     , a__zeros() -> cons(0(), zeros())
     , a__head(cons(X, L)) -> mark(X)
     , a__tail(cons(X, L)) -> mark(L)
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(nats()) -> a__nats()
     , mark(zeros()) -> a__zeros()
     , mark(head(X)) -> a__head(mark(X))
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(nil()) -> nil()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , a__incr(X) -> incr(X)
     , a__adx(X) -> adx(X)
     , a__nats() -> nats()
     , a__zeros() -> zeros()
     , a__head(X) -> head(X)
     , a__tail(X) -> tail(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds