Problem Transformed CSR 04 Ex14 Luc06 C

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex14 Luc06 C

stdout:

MAYBE

Problem:
active(h(X)) -> mark(g(X,X))
active(g(a(),X)) -> mark(f(b(),X))
active(f(X,X)) -> mark(h(a()))
active(a()) -> mark(b())
active(h(X)) -> h(active(X))
active(g(X1,X2)) -> g(active(X1),X2)
active(f(X1,X2)) -> f(active(X1),X2)
h(mark(X)) -> mark(h(X))
g(mark(X1),X2) -> mark(g(X1,X2))
f(mark(X1),X2) -> mark(f(X1,X2))
proper(h(X)) -> h(proper(X))
proper(g(X1,X2)) -> g(proper(X1),proper(X2))
proper(a()) -> ok(a())
proper(f(X1,X2)) -> f(proper(X1),proper(X2))
proper(b()) -> ok(b())
h(ok(X)) -> ok(h(X))
g(ok(X1),ok(X2)) -> ok(g(X1,X2))
f(ok(X1),ok(X2)) -> ok(f(X1,X2))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex14 Luc06 C

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex14 Luc06 C

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  active(h(X)) -> mark(g(X, X))
     , active(g(a(), X)) -> mark(f(b(), X))
     , active(f(X, X)) -> mark(h(a()))
     , active(a()) -> mark(b())
     , active(h(X)) -> h(active(X))
     , active(g(X1, X2)) -> g(active(X1), X2)
     , active(f(X1, X2)) -> f(active(X1), X2)
     , h(mark(X)) -> mark(h(X))
     , g(mark(X1), X2) -> mark(g(X1, X2))
     , f(mark(X1), X2) -> mark(f(X1, X2))
     , proper(h(X)) -> h(proper(X))
     , proper(g(X1, X2)) -> g(proper(X1), proper(X2))
     , proper(a()) -> ok(a())
     , proper(f(X1, X2)) -> f(proper(X1), proper(X2))
     , proper(b()) -> ok(b())
     , h(ok(X)) -> ok(h(X))
     , g(ok(X1), ok(X2)) -> ok(g(X1, X2))
     , f(ok(X1), ok(X2)) -> ok(f(X1, X2))
     , top(mark(X)) -> top(proper(X))
     , top(ok(X)) -> top(active(X))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex14 Luc06 C

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex14 Luc06 C

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  active(h(X)) -> mark(g(X, X))
     , active(g(a(), X)) -> mark(f(b(), X))
     , active(f(X, X)) -> mark(h(a()))
     , active(a()) -> mark(b())
     , active(h(X)) -> h(active(X))
     , active(g(X1, X2)) -> g(active(X1), X2)
     , active(f(X1, X2)) -> f(active(X1), X2)
     , h(mark(X)) -> mark(h(X))
     , g(mark(X1), X2) -> mark(g(X1, X2))
     , f(mark(X1), X2) -> mark(f(X1, X2))
     , proper(h(X)) -> h(proper(X))
     , proper(g(X1, X2)) -> g(proper(X1), proper(X2))
     , proper(a()) -> ok(a())
     , proper(f(X1, X2)) -> f(proper(X1), proper(X2))
     , proper(b()) -> ok(b())
     , h(ok(X)) -> ok(h(X))
     , g(ok(X1), ok(X2)) -> ok(g(X1, X2))
     , f(ok(X1), ok(X2)) -> ok(f(X1, X2))
     , top(mark(X)) -> top(proper(X))
     , top(ok(X)) -> top(active(X))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds