NO

Problem 1: 

(VAR v_NonEmpty:S X:S Y:S)
(RULES
2nd(cons(X:S)) -> Y:S
from(X:S) -> cons(X:S)
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 2nd(cons(X:S)) -> Y:S
 from(X:S) -> cons(X:S)
-> The system has extra variables.

The problem is infinite.