Tool CaT
stdout:
MAYBE
Problem:
b(a(a(x1))) -> a(b(c(x1)))
c(a(x1)) -> a(c(x1))
c(b(x1)) -> b(a(x1))
a(a(b(x1))) -> d(b(a(x1)))
a(d(x1)) -> d(a(x1))
b(d(x1)) -> a(b(x1))
a(a(x1)) -> a(b(a(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:
{ b(a(a(x1))) -> a(b(c(x1)))
, c(a(x1)) -> a(c(x1))
, c(b(x1)) -> b(a(x1))
, a(a(b(x1))) -> d(b(a(x1)))
, a(d(x1)) -> d(a(x1))
, b(d(x1)) -> a(b(x1))
, a(a(x1)) -> a(b(a(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:
{ b(a(a(x1))) -> a(b(c(x1)))
, c(a(x1)) -> a(c(x1))
, c(b(x1)) -> b(a(x1))
, a(a(b(x1))) -> d(b(a(x1)))
, a(d(x1)) -> d(a(x1))
, b(d(x1)) -> a(b(x1))
, a(a(x1)) -> a(b(a(x1)))}
Proof Output:
Computation stopped due to timeout after 60.0 seconds