Problem Transformed CSR 04 Ex4 7 37 Bor03 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex4 7 37 Bor03 GM

stdout:

MAYBE

Problem:
a__from(X) -> cons(mark(X),from(s(X)))
a__sel(0(),cons(X,XS)) -> mark(X)
a__sel(s(N),cons(X,XS)) -> a__sel(mark(N),mark(XS))
a__minus(X,0()) -> 0()
a__minus(s(X),s(Y)) -> a__minus(mark(X),mark(Y))
a__quot(0(),s(Y)) -> 0()
a__quot(s(X),s(Y)) -> s(a__quot(a__minus(mark(X),mark(Y)),s(mark(Y))))
a__zWquot(XS,nil()) -> nil()
a__zWquot(nil(),XS) -> nil()
a__zWquot(cons(X,XS),cons(Y,YS)) -> cons(a__quot(mark(X),mark(Y)),zWquot(XS,YS))
mark(from(X)) -> a__from(mark(X))
mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
mark(minus(X1,X2)) -> a__minus(mark(X1),mark(X2))
mark(quot(X1,X2)) -> a__quot(mark(X1),mark(X2))
mark(zWquot(X1,X2)) -> a__zWquot(mark(X1),mark(X2))
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(s(X)) -> s(mark(X))
mark(0()) -> 0()
mark(nil()) -> nil()
a__from(X) -> from(X)
a__sel(X1,X2) -> sel(X1,X2)
a__minus(X1,X2) -> minus(X1,X2)
a__quot(X1,X2) -> quot(X1,X2)
a__zWquot(X1,X2) -> zWquot(X1,X2)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex4 7 37 Bor03 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex4 7 37 Bor03 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__from(X) -> cons(mark(X), from(s(X)))
     , a__sel(0(), cons(X, XS)) -> mark(X)
     , a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS))
     , a__minus(X, 0()) -> 0()
     , a__minus(s(X), s(Y)) -> a__minus(mark(X), mark(Y))
     , a__quot(0(), s(Y)) -> 0()
     , a__quot(s(X), s(Y)) ->
       s(a__quot(a__minus(mark(X), mark(Y)), s(mark(Y))))
     , a__zWquot(XS, nil()) -> nil()
     , a__zWquot(nil(), XS) -> nil()
     , a__zWquot(cons(X, XS), cons(Y, YS)) ->
       cons(a__quot(mark(X), mark(Y)), zWquot(XS, YS))
     , mark(from(X)) -> a__from(mark(X))
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(minus(X1, X2)) -> a__minus(mark(X1), mark(X2))
     , mark(quot(X1, X2)) -> a__quot(mark(X1), mark(X2))
     , mark(zWquot(X1, X2)) -> a__zWquot(mark(X1), mark(X2))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(nil()) -> nil()
     , a__from(X) -> from(X)
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__minus(X1, X2) -> minus(X1, X2)
     , a__quot(X1, X2) -> quot(X1, X2)
     , a__zWquot(X1, X2) -> zWquot(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex4 7 37 Bor03 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex4 7 37 Bor03 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__from(X) -> cons(mark(X), from(s(X)))
     , a__sel(0(), cons(X, XS)) -> mark(X)
     , a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS))
     , a__minus(X, 0()) -> 0()
     , a__minus(s(X), s(Y)) -> a__minus(mark(X), mark(Y))
     , a__quot(0(), s(Y)) -> 0()
     , a__quot(s(X), s(Y)) ->
       s(a__quot(a__minus(mark(X), mark(Y)), s(mark(Y))))
     , a__zWquot(XS, nil()) -> nil()
     , a__zWquot(nil(), XS) -> nil()
     , a__zWquot(cons(X, XS), cons(Y, YS)) ->
       cons(a__quot(mark(X), mark(Y)), zWquot(XS, YS))
     , mark(from(X)) -> a__from(mark(X))
     , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2))
     , mark(minus(X1, X2)) -> a__minus(mark(X1), mark(X2))
     , mark(quot(X1, X2)) -> a__quot(mark(X1), mark(X2))
     , mark(zWquot(X1, X2)) -> a__zWquot(mark(X1), mark(X2))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(nil()) -> nil()
     , a__from(X) -> from(X)
     , a__sel(X1, X2) -> sel(X1, X2)
     , a__minus(X1, X2) -> minus(X1, X2)
     , a__quot(X1, X2) -> quot(X1, X2)
     , a__zWquot(X1, X2) -> zWquot(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds