/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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NO

Problem 1: 

(VAR N X XS Y YS ZS)
(RULES
U101(tt) -> fst(splitAt(N,XS))
U11(tt) -> snd(splitAt(N,XS))
U21(tt) -> X
U31(tt) -> N
U41(tt) -> cons(N)
U51(tt) -> head(afterNth(N,XS))
U61(tt) -> Y
U71(tt) -> pair(nil,XS)
U81(tt) -> U82(splitAt(N,XS))
U82(pair(YS,ZS)) -> pair(cons(X),ZS)
U91(tt) -> XS
afterNth(N,XS) -> U11(and(isNatural))
and(tt) -> X
fst(pair(X,Y)) -> U21(and(isLNat))
head(cons(N)) -> U31(and(isNatural))
isLNat -> and(isNatural)
isLNat -> isLNat
isLNat -> isNatural
isLNat -> isPLNat
isLNat -> tt
isNatural -> and(isNatural)
isNatural -> isLNat
isNatural -> isNatural
isNatural -> tt
isPLNat -> and(isLNat)
isPLNat -> and(isNatural)
natsFrom(N) -> U41(isNatural)
sel(N,XS) -> U51(and(isNatural))
snd(pair(X,Y)) -> U61(and(isLNat))
splitAt(0,XS) -> U71(isLNat)
splitAt(s(N),cons(X)) -> U81(and(isNatural))
tail(cons(N)) -> U91(and(isNatural))
take(N,XS) -> U101(and(isNatural))
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 U101(tt) -> fst(splitAt(N,XS))
 U11(tt) -> snd(splitAt(N,XS))
 U21(tt) -> X
 U31(tt) -> N
 U41(tt) -> cons(N)
 U51(tt) -> head(afterNth(N,XS))
 U61(tt) -> Y
 U71(tt) -> pair(nil,XS)
 U81(tt) -> U82(splitAt(N,XS))
 U82(pair(YS,ZS)) -> pair(cons(X),ZS)
 U91(tt) -> XS
 afterNth(N,XS) -> U11(and(isNatural))
 and(tt) -> X
 fst(pair(X,Y)) -> U21(and(isLNat))
 head(cons(N)) -> U31(and(isNatural))
 isLNat -> and(isNatural)
 isLNat -> isLNat
 isLNat -> isNatural
 isLNat -> isPLNat
 isLNat -> tt
 isNatural -> and(isNatural)
 isNatural -> isLNat
 isNatural -> isNatural
 isNatural -> tt
 isPLNat -> and(isLNat)
 isPLNat -> and(isNatural)
 natsFrom(N) -> U41(isNatural)
 sel(N,XS) -> U51(and(isNatural))
 snd(pair(X,Y)) -> U61(and(isLNat))
 splitAt(0,XS) -> U71(isLNat)
 splitAt(s(N),cons(X)) -> U81(and(isNatural))
 tail(cons(N)) -> U91(and(isNatural))
 take(N,XS) -> U101(and(isNatural))
-> The system has extra variables.

The problem is infinite.