Problem Transformed CSR 04 ExAppendixB AEL03 Z

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExAppendixB AEL03 Z

stdout:

MAYBE

Problem:
from(X) -> cons(X,n__from(s(X)))
2ndspos(0(),Z) -> rnil()
2ndspos(s(N),cons(X,Z)) -> 2ndspos(s(N),cons2(X,activate(Z)))
2ndspos(s(N),cons2(X,cons(Y,Z))) -> rcons(posrecip(Y),2ndsneg(N,activate(Z)))
2ndsneg(0(),Z) -> rnil()
2ndsneg(s(N),cons(X,Z)) -> 2ndsneg(s(N),cons2(X,activate(Z)))
2ndsneg(s(N),cons2(X,cons(Y,Z))) -> rcons(negrecip(Y),2ndspos(N,activate(Z)))
pi(X) -> 2ndspos(X,from(0()))
plus(0(),Y) -> Y
plus(s(X),Y) -> s(plus(X,Y))
times(0(),Y) -> 0()
times(s(X),Y) -> plus(Y,times(X,Y))
square(X) -> times(X,X)
from(X) -> n__from(X)
activate(n__from(X)) -> from(X)
activate(X) -> X

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExAppendixB AEL03 Z

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExAppendixB AEL03 Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  from(X) -> cons(X, n__from(s(X)))
     , 2ndspos(0(), Z) -> rnil()
     , 2ndspos(s(N), cons(X, Z)) -> 2ndspos(s(N), cons2(X, activate(Z)))
     , 2ndspos(s(N), cons2(X, cons(Y, Z))) ->
       rcons(posrecip(Y), 2ndsneg(N, activate(Z)))
     , 2ndsneg(0(), Z) -> rnil()
     , 2ndsneg(s(N), cons(X, Z)) -> 2ndsneg(s(N), cons2(X, activate(Z)))
     , 2ndsneg(s(N), cons2(X, cons(Y, Z))) ->
       rcons(negrecip(Y), 2ndspos(N, activate(Z)))
     , pi(X) -> 2ndspos(X, from(0()))
     , plus(0(), Y) -> Y
     , plus(s(X), Y) -> s(plus(X, Y))
     , times(0(), Y) -> 0()
     , times(s(X), Y) -> plus(Y, times(X, Y))
     , square(X) -> times(X, X)
     , from(X) -> n__from(X)
     , activate(n__from(X)) -> from(X)
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExAppendixB AEL03 Z

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExAppendixB AEL03 Z

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  from(X) -> cons(X, n__from(s(X)))
     , 2ndspos(0(), Z) -> rnil()
     , 2ndspos(s(N), cons(X, Z)) -> 2ndspos(s(N), cons2(X, activate(Z)))
     , 2ndspos(s(N), cons2(X, cons(Y, Z))) ->
       rcons(posrecip(Y), 2ndsneg(N, activate(Z)))
     , 2ndsneg(0(), Z) -> rnil()
     , 2ndsneg(s(N), cons(X, Z)) -> 2ndsneg(s(N), cons2(X, activate(Z)))
     , 2ndsneg(s(N), cons2(X, cons(Y, Z))) ->
       rcons(negrecip(Y), 2ndspos(N, activate(Z)))
     , pi(X) -> 2ndspos(X, from(0()))
     , plus(0(), Y) -> Y
     , plus(s(X), Y) -> s(plus(X, Y))
     , times(0(), Y) -> 0()
     , times(s(X), Y) -> plus(Y, times(X, Y))
     , square(X) -> times(X, X)
     , from(X) -> n__from(X)
     , activate(n__from(X)) -> from(X)
     , activate(X) -> X}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds