Problem Transformed CSR 04 ExProp7 Luc06 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExProp7 Luc06 GM

stdout:

MAYBE

Problem:
a__f(0()) -> cons(0(),f(s(0())))
a__f(s(0())) -> a__f(a__p(s(0())))
a__p(s(X)) -> mark(X)
mark(f(X)) -> a__f(mark(X))
mark(p(X)) -> a__p(mark(X))
mark(0()) -> 0()
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(s(X)) -> s(mark(X))
a__f(X) -> f(X)
a__p(X) -> p(X)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExProp7 Luc06 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExProp7 Luc06 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__f(0()) -> cons(0(), f(s(0())))
     , a__f(s(0())) -> a__f(a__p(s(0())))
     , a__p(s(X)) -> mark(X)
     , mark(f(X)) -> a__f(mark(X))
     , mark(p(X)) -> a__p(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(s(X)) -> s(mark(X))
     , a__f(X) -> f(X)
     , a__p(X) -> p(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExProp7 Luc06 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExProp7 Luc06 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__f(0()) -> cons(0(), f(s(0())))
     , a__f(s(0())) -> a__f(a__p(s(0())))
     , a__p(s(X)) -> mark(X)
     , mark(f(X)) -> a__f(mark(X))
     , mark(p(X)) -> a__p(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(s(X)) -> s(mark(X))
     , a__f(X) -> f(X)
     , a__p(X) -> p(X)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds