/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 IL L M N T)
(RULES
and(tt,T) -> T
isNat -> isNat
isNat -> isNatList
isNat -> tt
isNatIList -> and(isNat,isNatIList)
isNatIList -> isNatList
isNatIList -> tt
isNatList -> and(isNat,isNatIList)
isNatList -> and(isNat,isNatList)
isNatList -> tt
length(cons(N)) -> uLength(and(isNat,isNatList))
take(0,IL) -> uTake1(isNatIList)
take(s(M),cons(N)) -> uTake2(and(isNat,and(isNat,isNatIList)))
uLength(tt) -> s(length(L))
uTake1(tt) -> nil
uTake2(tt) -> cons(N)
zeros -> cons(0)
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 and(tt,T) -> T
 isNat -> isNat
 isNat -> isNatList
 isNat -> tt
 isNatIList -> and(isNat,isNatIList)
 isNatIList -> isNatList
 isNatIList -> tt
 isNatList -> and(isNat,isNatIList)
 isNatList -> and(isNat,isNatList)
 isNatList -> tt
 length(cons(N)) -> uLength(and(isNat,isNatList))
 take(0,IL) -> uTake1(isNatIList)
 take(s(M),cons(N)) -> uTake2(and(isNat,and(isNat,isNatIList)))
 uLength(tt) -> s(length(L))
 uTake1(tt) -> nil
 uTake2(tt) -> cons(N)
 zeros -> cons(0)
-> The system has extra variables.

The problem is infinite.