/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO

Problem:
 U14(tt()) -> snd(splitAt(N,XS))
 U24(tt()) -> X
 U282(tt()) -> cons(N)
 U294(tt()) -> head(afterNth(N,XS))
 U304(tt()) -> Y
 U312(tt()) -> pair(nil(),XS)
 U326(tt()) -> U327(splitAt(N,XS))
 U327(pair(YS,ZS)) -> pair(cons(X),ZS)
 U334(tt()) -> XS
 U34(tt()) -> N
 U344(tt()) -> fst(splitAt(N,XS))
 U101(tt()) -> U102(isNaturalKind())
 U102(tt()) -> U103(isLNatKind())
 U103(tt()) -> U104(isLNatKind())
 U104(tt()) -> U105(isNatural())
 U105(tt()) -> U106(isLNat())
 U106(tt()) -> tt()
 U11(tt()) -> U12(isNaturalKind())
 U111(tt()) -> U112(isLNatKind())
 U112(tt()) -> tt()
 U12(tt()) -> U13(isLNat())
 U121(tt()) -> U122(isLNatKind())
 U122(tt()) -> tt()
 U13(tt()) -> U14(isLNatKind())
 U131(tt()) -> tt()
 U141(tt()) -> tt()
 U151(tt()) -> tt()
 U161(tt()) -> tt()
 U171(tt()) -> U172(isLNatKind())
 U172(tt()) -> tt()
 U181(tt()) -> U182(isLNatKind())
 U182(tt()) -> U183(isLNat())
 U183(tt()) -> tt()
 U191(tt()) -> U192(isNaturalKind())
 U192(tt()) -> U193(isNatural())
 U193(tt()) -> tt()
 U201(tt()) -> U202(isNaturalKind())
 U202(tt()) -> U203(isLNatKind())
 U203(tt()) -> U204(isLNatKind())
 U204(tt()) -> U205(isNatural())
 U205(tt()) -> U206(isLNat())
 U206(tt()) -> tt()
 U21(tt()) -> U22(isLNatKind())
 U211(tt()) -> tt()
 U22(tt()) -> U23(isLNat())
 U221(tt()) -> tt()
 U23(tt()) -> U24(isLNatKind())
 U231(tt()) -> U232(isLNatKind())
 U232(tt()) -> tt()
 U241(tt()) -> U242(isLNatKind())
 U242(tt()) -> U243(isLNatKind())
 U243(tt()) -> U244(isLNatKind())
 U244(tt()) -> U245(isLNat())
 U245(tt()) -> U246(isLNat())
 U246(tt()) -> tt()
 U251(tt()) -> U252(isNaturalKind())
 U252(tt()) -> U253(isLNatKind())
 U253(tt()) -> U254(isLNatKind())
 U254(tt()) -> U255(isNatural())
 U255(tt()) -> U256(isLNat())
 U256(tt()) -> tt()
 U261(tt()) -> U262(isLNatKind())
 U262(tt()) -> tt()
 U271(tt()) -> U272(isLNatKind())
 U272(tt()) -> tt()
 U281(tt()) -> U282(isNaturalKind())
 U291(tt()) -> U292(isNaturalKind())
 U292(tt()) -> U293(isLNat())
 U293(tt()) -> U294(isLNatKind())
 U301(tt()) -> U302(isLNatKind())
 U302(tt()) -> U303(isLNat())
 U303(tt()) -> U304(isLNatKind())
 U31(tt()) -> U32(isNaturalKind())
 U311(tt()) -> U312(isLNatKind())
 U32(tt()) -> U33(isLNat())
 U321(tt()) -> U322(isNaturalKind())
 U322(tt()) -> U323(isNatural())
 U323(tt()) -> U324(isNaturalKind())
 U324(tt()) -> U325(isLNat())
 U325(tt()) -> U326(isLNatKind())
 U33(tt()) -> U34(isLNatKind())
 U331(tt()) -> U332(isNaturalKind())
 U332(tt()) -> U333(isLNat())
 U333(tt()) -> U334(isLNatKind())
 U341(tt()) -> U342(isNaturalKind())
 U342(tt()) -> U343(isLNat())
 U343(tt()) -> U344(isLNatKind())
 U41(tt()) -> U42(isNaturalKind())
 U42(tt()) -> U43(isLNatKind())
 U43(tt()) -> U44(isLNatKind())
 U44(tt()) -> U45(isNatural())
 U45(tt()) -> U46(isLNat())
 U46(tt()) -> tt()
 U51(tt()) -> U52(isNaturalKind())
 U52(tt()) -> U53(isLNatKind())
 U53(tt()) -> U54(isLNatKind())
 U54(tt()) -> U55(isNatural())
 U55(tt()) -> U56(isLNat())
 U56(tt()) -> tt()
 U61(tt()) -> U62(isPLNatKind())
 U62(tt()) -> U63(isPLNat())
 U63(tt()) -> tt()
 U71(tt()) -> U72(isNaturalKind())
 U72(tt()) -> U73(isNatural())
 U73(tt()) -> tt()
 U81(tt()) -> U82(isPLNatKind())
 U82(tt()) -> U83(isPLNat())
 U83(tt()) -> tt()
 U91(tt()) -> U92(isLNatKind())
 U92(tt()) -> U93(isLNat())
 U93(tt()) -> tt()
 afterNth(N,XS) -> U11(isNatural())
 fst(pair(X,Y)) -> U21(isLNat())
 head(cons(N)) -> U31(isNatural())
 isLNat() -> tt()
 isLNat() -> U41(isNaturalKind())
 isLNat() -> U51(isNaturalKind())
 isLNat() -> U61(isPLNatKind())
 isLNat() -> U71(isNaturalKind())
 isLNat() -> U81(isPLNatKind())
 isLNat() -> U91(isLNatKind())
 isLNat() -> U101(isNaturalKind())
 isLNatKind() -> tt()
 isLNatKind() -> U111(isNaturalKind())
 isLNatKind() -> U121(isNaturalKind())
 isLNatKind() -> U131(isPLNatKind())
 isLNatKind() -> U141(isNaturalKind())
 isLNatKind() -> U151(isPLNatKind())
 isLNatKind() -> U161(isLNatKind())
 isLNatKind() -> U171(isNaturalKind())
 isNatural() -> tt()
 isNatural() -> U181(isLNatKind())
 isNatural() -> U191(isNaturalKind())
 isNatural() -> U201(isNaturalKind())
 isNaturalKind() -> tt()
 isNaturalKind() -> U211(isLNatKind())
 isNaturalKind() -> U221(isNaturalKind())
 isNaturalKind() -> U231(isNaturalKind())
 isPLNat() -> U241(isLNatKind())
 isPLNat() -> U251(isNaturalKind())
 isPLNatKind() -> U261(isLNatKind())
 isPLNatKind() -> U271(isNaturalKind())
 natsFrom(N) -> U281(isNatural())
 sel(N,XS) -> U291(isNatural())
 snd(pair(X,Y)) -> U301(isLNat())
 splitAt(0(),XS) -> U311(isLNat())
 splitAt(s(N),cons(X)) -> U321(isNatural())
 tail(cons(N)) -> U331(isNatural())
 take(N,XS) -> U341(isNatural())

Proof:
 Fresh Variable Processor:
  loop length: 1
  terms:
   U14(tt())
  context: snd(splitAt([],XS))
  substitution:
   N -> U14(tt())
  Qed