/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO

Problem 1: 

(VAR X Y Z)
(RULES
filter(s(s(X)),cons(Y,Z)) -> if(divides(s(s(X)),Y),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y))))
from(X) -> cons(X,from(s(X)))
head(cons(X,Y)) -> X
if(false,X,Y) -> Y
if(true,X,Y) -> X
primes -> sieve(from(s(s(0))))
sieve(cons(X,Y)) -> cons(X,filter(X,sieve(Y)))
tail(cons(X,Y)) -> Y
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 FILTER(s(s(X)),cons(Y,Z)) -> FILTER(s(s(X)),Z)
 FILTER(s(s(X)),cons(Y,Z)) -> FILTER(X,sieve(Y))
 FILTER(s(s(X)),cons(Y,Z)) -> IF(divides(s(s(X)),Y),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y))))
 FILTER(s(s(X)),cons(Y,Z)) -> SIEVE(Y)
 FROM(X) -> FROM(s(X))
 PRIMES -> FROM(s(s(0)))
 PRIMES -> SIEVE(from(s(s(0))))
 SIEVE(cons(X,Y)) -> FILTER(X,sieve(Y))
 SIEVE(cons(X,Y)) -> SIEVE(Y)
-> Rules:
 filter(s(s(X)),cons(Y,Z)) -> if(divides(s(s(X)),Y),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y))))
 from(X) -> cons(X,from(s(X)))
 head(cons(X,Y)) -> X
 if(false,X,Y) -> Y
 if(true,X,Y) -> X
 primes -> sieve(from(s(s(0))))
 sieve(cons(X,Y)) -> cons(X,filter(X,sieve(Y)))
 tail(cons(X,Y)) -> Y

Problem 1: 

Infinite Processor:
-> Pairs:
 FILTER(s(s(X)),cons(Y,Z)) -> FILTER(s(s(X)),Z)
 FILTER(s(s(X)),cons(Y,Z)) -> FILTER(X,sieve(Y))
 FILTER(s(s(X)),cons(Y,Z)) -> IF(divides(s(s(X)),Y),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y))))
 FILTER(s(s(X)),cons(Y,Z)) -> SIEVE(Y)
 FROM(X) -> FROM(s(X))
 PRIMES -> FROM(s(s(0)))
 PRIMES -> SIEVE(from(s(s(0))))
 SIEVE(cons(X,Y)) -> FILTER(X,sieve(Y))
 SIEVE(cons(X,Y)) -> SIEVE(Y)
-> Rules:
 filter(s(s(X)),cons(Y,Z)) -> if(divides(s(s(X)),Y),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y))))
 from(X) -> cons(X,from(s(X)))
 head(cons(X,Y)) -> X
 if(false,X,Y) -> Y
 if(true,X,Y) -> X
 primes -> sieve(from(s(s(0))))
 sieve(cons(X,Y)) -> cons(X,filter(X,sieve(Y)))
 tail(cons(X,Y)) -> Y
-> Pairs in cycle:
 FROM(X) -> FROM(s(X))

The problem is infinite.