Tool CaT
stdout:
MAYBE
Problem:
M() -> h(cons(0(),tail(M())))
tail(cons(x,s)) -> s
h(cons(0(),s)) -> cons(0(),cons(1(),h(s)))
h(cons(1(),s)) -> cons(1(),cons(0(),h(s)))
cons(x,s) -> garbage()
Proof:
Complexity Transformation Processor:
strict:
M() -> h(cons(0(),tail(M())))
tail(cons(x,s)) -> s
h(cons(0(),s)) -> cons(0(),cons(1(),h(s)))
h(cons(1(),s)) -> cons(1(),cons(0(),h(s)))
cons(x,s) -> garbage()
weak:
Matrix Interpretation Processor:
dimension: 1
max_matrix:
1
interpretation:
[garbage] = 0,
[1] = 18,
[h](x0) = x0,
[cons](x0, x1) = x0 + x1 + 11,
[tail](x0) = x0 + 28,
[0] = 217,
[M] = 0
orientation:
M() = 0 >= 256 = h(cons(0(),tail(M())))
tail(cons(x,s)) = s + x + 39 >= s = s
h(cons(0(),s)) = s + 228 >= s + 257 = cons(0(),cons(1(),h(s)))
h(cons(1(),s)) = s + 29 >= s + 257 = cons(1(),cons(0(),h(s)))
cons(x,s) = s + x + 11 >= 0 = garbage()
problem:
strict:
M() -> h(cons(0(),tail(M())))
h(cons(0(),s)) -> cons(0(),cons(1(),h(s)))
h(cons(1(),s)) -> cons(1(),cons(0(),h(s)))
weak:
tail(cons(x,s)) -> s
cons(x,s) -> garbage()
Open
Tool IRC1
stdout:
MAYBE
Warning when parsing problem:
Unsupported strategy 'OUTERMOST'Tool IRC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: innermost runtime-complexity with respect to
Rules:
{ M() -> h(cons(0(), tail(M())))
, tail(cons(x, s)) -> s
, h(cons(0(), s)) -> cons(0(), cons(1(), h(s)))
, h(cons(1(), s)) -> cons(1(), cons(0(), h(s)))
, cons(x, s) -> garbage()}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool RC1
stdout:
MAYBE
Warning when parsing problem:
Unsupported strategy 'OUTERMOST'Tool RC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ M() -> h(cons(0(), tail(M())))
, tail(cons(x, s)) -> s
, h(cons(0(), s)) -> cons(0(), cons(1(), h(s)))
, h(cons(1(), s)) -> cons(1(), cons(0(), h(s)))
, cons(x, s) -> garbage()}
Proof Output:
Computation stopped due to timeout after 60.0 seconds