Tool CaT
stdout:
MAYBE
Problem:
a(a(a(x1))) -> b(c(x1))
c(b(x1)) -> a(a(a(a(c(x1)))))
Proof:
Complexity Transformation Processor:
strict:
a(a(a(x1))) -> b(c(x1))
c(b(x1)) -> a(a(a(a(c(x1)))))
weak:
Matrix Interpretation Processor:
dimension: 1
max_matrix:
1
interpretation:
[b](x0) = x0 + 117,
[c](x0) = x0 + 40,
[a](x0) = x0 + 24
orientation:
a(a(a(x1))) = x1 + 72 >= x1 + 157 = b(c(x1))
c(b(x1)) = x1 + 157 >= x1 + 136 = a(a(a(a(c(x1)))))
problem:
strict:
a(a(a(x1))) -> b(c(x1))
weak:
c(b(x1)) -> a(a(a(a(c(x1)))))
Open
Tool 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(a(a(x1))) -> b(c(x1))
, c(b(x1)) -> a(a(a(a(c(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(a(a(x1))) -> b(c(x1))
, c(b(x1)) -> a(a(a(a(c(x1)))))}
Proof Output:
Computation stopped due to timeout after 60.0 seconds