Tool CaT
stdout:
MAYBE
Problem:
a(b(x1)) -> b(c(a(x1)))
b(c(x1)) -> c(b(b(x1)))
a(c(x1)) -> c(a(b(x1)))
a(a(x1)) -> a(d(d(d(x1))))
d(a(x1)) -> d(d(c(x1)))
a(d(d(c(x1)))) -> a(a(a(d(x1))))
e(e(f(f(x1)))) -> f(f(f(e(e(x1)))))
e(x1) -> a(x1)
b(d(x1)) -> d(d(x1))
Proof:
OpenTool IRC1
stdout:
MAYBE
Tool IRC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: innermost runtime-complexity with respect to
Rules:
{ a(b(x1)) -> b(c(a(x1)))
, b(c(x1)) -> c(b(b(x1)))
, a(c(x1)) -> c(a(b(x1)))
, a(a(x1)) -> a(d(d(d(x1))))
, d(a(x1)) -> d(d(c(x1)))
, a(d(d(c(x1)))) -> a(a(a(d(x1))))
, e(e(f(f(x1)))) -> f(f(f(e(e(x1)))))
, e(x1) -> a(x1)
, b(d(x1)) -> d(d(x1))}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool RC1
stdout:
MAYBE
Tool RC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ a(b(x1)) -> b(c(a(x1)))
, b(c(x1)) -> c(b(b(x1)))
, a(c(x1)) -> c(a(b(x1)))
, a(a(x1)) -> a(d(d(d(x1))))
, d(a(x1)) -> d(d(c(x1)))
, a(d(d(c(x1)))) -> a(a(a(d(x1))))
, e(e(f(f(x1)))) -> f(f(f(e(e(x1)))))
, e(x1) -> a(x1)
, b(d(x1)) -> d(d(x1))}
Proof Output:
Computation stopped due to timeout after 60.0 seconds