YES

Problem 1: 

(VAR v_NonEmpty:S x:S)
(RULES
evenodd(0,s(0)) -> ffalse
evenodd(s(x:S),s(0)) -> evenodd(x:S,0)
evenodd(x:S,0) -> not(evenodd(x:S,s(0)))
not(ffalse) -> ttrue
not(ttrue) -> ffalse
)

Problem 1: 

Innermost Equivalent Processor:
-> Rules:
 evenodd(0,s(0)) -> ffalse
 evenodd(s(x:S),s(0)) -> evenodd(x:S,0)
 evenodd(x:S,0) -> not(evenodd(x:S,s(0)))
 not(ffalse) -> ttrue
 not(ttrue) -> ffalse
-> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination.
 

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 EVENODD(s(x:S),s(0)) -> EVENODD(x:S,0)
 EVENODD(x:S,0) -> EVENODD(x:S,s(0))
 EVENODD(x:S,0) -> NOT(evenodd(x:S,s(0)))
-> Rules:
 evenodd(0,s(0)) -> ffalse
 evenodd(s(x:S),s(0)) -> evenodd(x:S,0)
 evenodd(x:S,0) -> not(evenodd(x:S,s(0)))
 not(ffalse) -> ttrue
 not(ttrue) -> ffalse

Problem 1: 

SCC Processor:
-> Pairs:
 EVENODD(s(x:S),s(0)) -> EVENODD(x:S,0)
 EVENODD(x:S,0) -> EVENODD(x:S,s(0))
 EVENODD(x:S,0) -> NOT(evenodd(x:S,s(0)))
-> Rules:
 evenodd(0,s(0)) -> ffalse
 evenodd(s(x:S),s(0)) -> evenodd(x:S,0)
 evenodd(x:S,0) -> not(evenodd(x:S,s(0)))
 not(ffalse) -> ttrue
 not(ttrue) -> ffalse
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 EVENODD(s(x:S),s(0)) -> EVENODD(x:S,0)
 EVENODD(x:S,0) -> EVENODD(x:S,s(0))
->->-> Rules:
 evenodd(0,s(0)) -> ffalse
 evenodd(s(x:S),s(0)) -> evenodd(x:S,0)
 evenodd(x:S,0) -> not(evenodd(x:S,s(0)))
 not(ffalse) -> ttrue
 not(ttrue) -> ffalse

Problem 1: 

Subterm Processor:
-> Pairs:
 EVENODD(s(x:S),s(0)) -> EVENODD(x:S,0)
 EVENODD(x:S,0) -> EVENODD(x:S,s(0))
-> Rules:
 evenodd(0,s(0)) -> ffalse
 evenodd(s(x:S),s(0)) -> evenodd(x:S,0)
 evenodd(x:S,0) -> not(evenodd(x:S,s(0)))
 not(ffalse) -> ttrue
 not(ttrue) -> ffalse
->Projection:
 pi(EVENODD) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 EVENODD(x:S,0) -> EVENODD(x:S,s(0))
-> Rules:
 evenodd(0,s(0)) -> ffalse
 evenodd(s(x:S),s(0)) -> evenodd(x:S,0)
 evenodd(x:S,0) -> not(evenodd(x:S,s(0)))
 not(ffalse) -> ttrue
 not(ttrue) -> ffalse
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.