/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 v_NonEmpty:S N:S X:S XS:S Y:S YS:S ZS:S)
(RULES
U11(tt) -> U12(splitAt(N:S,XS:S))
U12(pair(YS:S,ZS:S)) -> pair(cons(X:S),ZS:S)
afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S))
and(tt) -> X:S
fst(pair(X:S,Y:S)) -> X:S
head(cons(N:S)) -> N:S
natsFrom(N:S) -> cons(N:S)
sel(N:S,XS:S) -> head(afterNth(N:S,XS:S))
snd(pair(X:S,Y:S)) -> Y:S
splitAt(0,XS:S) -> pair(nil,XS:S)
splitAt(s(N:S),cons(X:S)) -> U11(tt)
tail(cons(N:S)) -> XS:S
take(N:S,XS:S) -> fst(splitAt(N:S,XS:S))
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 U11(tt) -> U12(splitAt(N:S,XS:S))
 U12(pair(YS:S,ZS:S)) -> pair(cons(X:S),ZS:S)
 afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S))
 and(tt) -> X:S
 fst(pair(X:S,Y:S)) -> X:S
 head(cons(N:S)) -> N:S
 natsFrom(N:S) -> cons(N:S)
 sel(N:S,XS:S) -> head(afterNth(N:S,XS:S))
 snd(pair(X:S,Y:S)) -> Y:S
 splitAt(0,XS:S) -> pair(nil,XS:S)
 splitAt(s(N:S),cons(X:S)) -> U11(tt)
 tail(cons(N:S)) -> XS:S
 take(N:S,XS:S) -> fst(splitAt(N:S,XS:S))
-> The system has extra variables.

The problem is infinite.