Problem Transformed CSR 04 Ex1 2 Luc02c C

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex1 2 Luc02c C

stdout:

MAYBE

Problem:
active(2nd(cons(X,cons(Y,Z)))) -> mark(Y)
active(from(X)) -> mark(cons(X,from(s(X))))
active(2nd(X)) -> 2nd(active(X))
active(cons(X1,X2)) -> cons(active(X1),X2)
active(from(X)) -> from(active(X))
active(s(X)) -> s(active(X))
2nd(mark(X)) -> mark(2nd(X))
cons(mark(X1),X2) -> mark(cons(X1,X2))
from(mark(X)) -> mark(from(X))
s(mark(X)) -> mark(s(X))
proper(2nd(X)) -> 2nd(proper(X))
proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
proper(from(X)) -> from(proper(X))
proper(s(X)) -> s(proper(X))
2nd(ok(X)) -> ok(2nd(X))
cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
from(ok(X)) -> ok(from(X))
s(ok(X)) -> ok(s(X))
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 Ex1 2 Luc02c C

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex1 2 Luc02c C

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  active(2nd(cons(X, cons(Y, Z)))) -> mark(Y)
     , active(from(X)) -> mark(cons(X, from(s(X))))
     , active(2nd(X)) -> 2nd(active(X))
     , active(cons(X1, X2)) -> cons(active(X1), X2)
     , active(from(X)) -> from(active(X))
     , active(s(X)) -> s(active(X))
     , 2nd(mark(X)) -> mark(2nd(X))
     , cons(mark(X1), X2) -> mark(cons(X1, X2))
     , from(mark(X)) -> mark(from(X))
     , s(mark(X)) -> mark(s(X))
     , proper(2nd(X)) -> 2nd(proper(X))
     , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
     , proper(from(X)) -> from(proper(X))
     , proper(s(X)) -> s(proper(X))
     , 2nd(ok(X)) -> ok(2nd(X))
     , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
     , from(ok(X)) -> ok(from(X))
     , s(ok(X)) -> ok(s(X))
     , 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 Ex1 2 Luc02c C

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex1 2 Luc02c C

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  active(2nd(cons(X, cons(Y, Z)))) -> mark(Y)
     , active(from(X)) -> mark(cons(X, from(s(X))))
     , active(2nd(X)) -> 2nd(active(X))
     , active(cons(X1, X2)) -> cons(active(X1), X2)
     , active(from(X)) -> from(active(X))
     , active(s(X)) -> s(active(X))
     , 2nd(mark(X)) -> mark(2nd(X))
     , cons(mark(X1), X2) -> mark(cons(X1, X2))
     , from(mark(X)) -> mark(from(X))
     , s(mark(X)) -> mark(s(X))
     , proper(2nd(X)) -> 2nd(proper(X))
     , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
     , proper(from(X)) -> from(proper(X))
     , proper(s(X)) -> s(proper(X))
     , 2nd(ok(X)) -> ok(2nd(X))
     , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
     , from(ok(X)) -> ok(from(X))
     , s(ok(X)) -> ok(s(X))
     , top(mark(X)) -> top(proper(X))
     , top(ok(X)) -> top(active(X))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds