Problem Transformed CSR 04 Ex5 DLMMU04 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex5 DLMMU04 GM

stdout:

MAYBE

Problem:
a__pairNs() -> cons(0(),incr(oddNs()))
a__oddNs() -> a__incr(a__pairNs())
a__incr(cons(X,XS)) -> cons(s(mark(X)),incr(XS))
a__take(0(),XS) -> nil()
a__take(s(N),cons(X,XS)) -> cons(mark(X),take(N,XS))
a__zip(nil(),XS) -> nil()
a__zip(X,nil()) -> nil()
a__zip(cons(X,XS),cons(Y,YS)) -> cons(pair(mark(X),mark(Y)),zip(XS,YS))
a__tail(cons(X,XS)) -> mark(XS)
a__repItems(nil()) -> nil()
a__repItems(cons(X,XS)) -> cons(mark(X),cons(X,repItems(XS)))
mark(pairNs()) -> a__pairNs()
mark(incr(X)) -> a__incr(mark(X))
mark(oddNs()) -> a__oddNs()
mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
mark(zip(X1,X2)) -> a__zip(mark(X1),mark(X2))
mark(tail(X)) -> a__tail(mark(X))
mark(repItems(X)) -> a__repItems(mark(X))
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(0()) -> 0()
mark(s(X)) -> s(mark(X))
mark(nil()) -> nil()
mark(pair(X1,X2)) -> pair(mark(X1),mark(X2))
a__pairNs() -> pairNs()
a__incr(X) -> incr(X)
a__oddNs() -> oddNs()
a__take(X1,X2) -> take(X1,X2)
a__zip(X1,X2) -> zip(X1,X2)
a__tail(X) -> tail(X)
a__repItems(X) -> repItems(X)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex5 DLMMU04 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex5 DLMMU04 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__pairNs() -> cons(0(), incr(oddNs()))
     , a__oddNs() -> a__incr(a__pairNs())
     , a__incr(cons(X, XS)) -> cons(s(mark(X)), incr(XS))
     , a__take(0(), XS) -> nil()
     , a__take(s(N), cons(X, XS)) -> cons(mark(X), take(N, XS))
     , a__zip(nil(), XS) -> nil()
     , a__zip(X, nil()) -> nil()
     , a__zip(cons(X, XS), cons(Y, YS)) ->
       cons(pair(mark(X), mark(Y)), zip(XS, YS))
     , a__tail(cons(X, XS)) -> mark(XS)
     , a__repItems(nil()) -> nil()
     , a__repItems(cons(X, XS)) -> cons(mark(X), cons(X, repItems(XS)))
     , mark(pairNs()) -> a__pairNs()
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(oddNs()) -> a__oddNs()
     , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2))
     , mark(zip(X1, X2)) -> a__zip(mark(X1), mark(X2))
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(repItems(X)) -> a__repItems(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(nil()) -> nil()
     , mark(pair(X1, X2)) -> pair(mark(X1), mark(X2))
     , a__pairNs() -> pairNs()
     , a__incr(X) -> incr(X)
     , a__oddNs() -> oddNs()
     , a__take(X1, X2) -> take(X1, X2)
     , a__zip(X1, X2) -> zip(X1, X2)
     , a__tail(X) -> tail(X)
     , a__repItems(X) -> repItems(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex5 DLMMU04 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex5 DLMMU04 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__pairNs() -> cons(0(), incr(oddNs()))
     , a__oddNs() -> a__incr(a__pairNs())
     , a__incr(cons(X, XS)) -> cons(s(mark(X)), incr(XS))
     , a__take(0(), XS) -> nil()
     , a__take(s(N), cons(X, XS)) -> cons(mark(X), take(N, XS))
     , a__zip(nil(), XS) -> nil()
     , a__zip(X, nil()) -> nil()
     , a__zip(cons(X, XS), cons(Y, YS)) ->
       cons(pair(mark(X), mark(Y)), zip(XS, YS))
     , a__tail(cons(X, XS)) -> mark(XS)
     , a__repItems(nil()) -> nil()
     , a__repItems(cons(X, XS)) -> cons(mark(X), cons(X, repItems(XS)))
     , mark(pairNs()) -> a__pairNs()
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(oddNs()) -> a__oddNs()
     , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2))
     , mark(zip(X1, X2)) -> a__zip(mark(X1), mark(X2))
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(repItems(X)) -> a__repItems(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(nil()) -> nil()
     , mark(pair(X1, X2)) -> pair(mark(X1), mark(X2))
     , a__pairNs() -> pairNs()
     , a__incr(X) -> incr(X)
     , a__oddNs() -> oddNs()
     , a__take(X1, X2) -> take(X1, X2)
     , a__zip(X1, X2) -> zip(X1, X2)
     , a__tail(X) -> tail(X)
     , a__repItems(X) -> repItems(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds