Problem Transformed CSR 04 Ex2 Luc03b GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex2 Luc03b GM

stdout:

MAYBE

Problem:
a__fst(0(),Z) -> nil()
a__fst(s(X),cons(Y,Z)) -> cons(mark(Y),fst(X,Z))
a__from(X) -> cons(mark(X),from(s(X)))
a__add(0(),X) -> mark(X)
a__add(s(X),Y) -> s(add(X,Y))
a__len(nil()) -> 0()
a__len(cons(X,Z)) -> s(len(Z))
mark(fst(X1,X2)) -> a__fst(mark(X1),mark(X2))
mark(from(X)) -> a__from(mark(X))
mark(add(X1,X2)) -> a__add(mark(X1),mark(X2))
mark(len(X)) -> a__len(mark(X))
mark(0()) -> 0()
mark(s(X)) -> s(X)
mark(nil()) -> nil()
mark(cons(X1,X2)) -> cons(mark(X1),X2)
a__fst(X1,X2) -> fst(X1,X2)
a__from(X) -> from(X)
a__add(X1,X2) -> add(X1,X2)
a__len(X) -> len(X)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex2 Luc03b GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex2 Luc03b GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__fst(0(), Z) -> nil()
     , a__fst(s(X), cons(Y, Z)) -> cons(mark(Y), fst(X, Z))
     , a__from(X) -> cons(mark(X), from(s(X)))
     , a__add(0(), X) -> mark(X)
     , a__add(s(X), Y) -> s(add(X, Y))
     , a__len(nil()) -> 0()
     , a__len(cons(X, Z)) -> s(len(Z))
     , mark(fst(X1, X2)) -> a__fst(mark(X1), mark(X2))
     , mark(from(X)) -> a__from(mark(X))
     , mark(add(X1, X2)) -> a__add(mark(X1), mark(X2))
     , mark(len(X)) -> a__len(mark(X))
     , mark(0()) -> 0()
     , mark(s(X)) -> s(X)
     , mark(nil()) -> nil()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , a__fst(X1, X2) -> fst(X1, X2)
     , a__from(X) -> from(X)
     , a__add(X1, X2) -> add(X1, X2)
     , a__len(X) -> len(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex2 Luc03b GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex2 Luc03b GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__fst(0(), Z) -> nil()
     , a__fst(s(X), cons(Y, Z)) -> cons(mark(Y), fst(X, Z))
     , a__from(X) -> cons(mark(X), from(s(X)))
     , a__add(0(), X) -> mark(X)
     , a__add(s(X), Y) -> s(add(X, Y))
     , a__len(nil()) -> 0()
     , a__len(cons(X, Z)) -> s(len(Z))
     , mark(fst(X1, X2)) -> a__fst(mark(X1), mark(X2))
     , mark(from(X)) -> a__from(mark(X))
     , mark(add(X1, X2)) -> a__add(mark(X1), mark(X2))
     , mark(len(X)) -> a__len(mark(X))
     , mark(0()) -> 0()
     , mark(s(X)) -> s(X)
     , mark(nil()) -> nil()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , a__fst(X1, X2) -> fst(X1, X2)
     , a__from(X) -> from(X)
     , a__add(X1, X2) -> add(X1, X2)
     , a__len(X) -> len(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds