/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO

Problem:
 U114(tt()) -> s(length(L))
 U136(tt()) -> cons(N)
 zeros() -> cons(0())
 U101(tt()) -> U102(isNatKind())
 U102(tt()) -> U103(isNatIListKind())
 U103(tt()) -> U104(isNatIListKind())
 U104(tt()) -> U105(isNat())
 U105(tt()) -> U106(isNatIList())
 U106(tt()) -> tt()
 U11(tt()) -> U12(isNatIListKind())
 U111(tt()) -> U112(isNatIListKind())
 U112(tt()) -> U113(isNat())
 U113(tt()) -> U114(isNatKind())
 U12(tt()) -> U13(isNatList())
 U121(tt()) -> U122(isNatIListKind())
 U122(tt()) -> nil()
 U13(tt()) -> tt()
 U131(tt()) -> U132(isNatIListKind())
 U132(tt()) -> U133(isNat())
 U133(tt()) -> U134(isNatKind())
 U134(tt()) -> U135(isNat())
 U135(tt()) -> U136(isNatKind())
 U21(tt()) -> U22(isNatKind())
 U22(tt()) -> U23(isNat())
 U23(tt()) -> tt()
 U31(tt()) -> U32(isNatIListKind())
 U32(tt()) -> U33(isNatList())
 U33(tt()) -> tt()
 U41(tt()) -> U42(isNatKind())
 U42(tt()) -> U43(isNatIListKind())
 U43(tt()) -> U44(isNatIListKind())
 U44(tt()) -> U45(isNat())
 U45(tt()) -> U46(isNatIList())
 U46(tt()) -> tt()
 U51(tt()) -> U52(isNatIListKind())
 U52(tt()) -> tt()
 U61(tt()) -> U62(isNatIListKind())
 U62(tt()) -> tt()
 U71(tt()) -> tt()
 U81(tt()) -> tt()
 U91(tt()) -> U92(isNatKind())
 U92(tt()) -> U93(isNatIListKind())
 U93(tt()) -> U94(isNatIListKind())
 U94(tt()) -> U95(isNat())
 U95(tt()) -> U96(isNatList())
 U96(tt()) -> tt()
 isNat() -> tt()
 isNat() -> U11(isNatIListKind())
 isNat() -> U21(isNatKind())
 isNatIList() -> U31(isNatIListKind())
 isNatIList() -> tt()
 isNatIList() -> U41(isNatKind())
 isNatIListKind() -> tt()
 isNatIListKind() -> U51(isNatKind())
 isNatIListKind() -> U61(isNatKind())
 isNatKind() -> tt()
 isNatKind() -> U71(isNatIListKind())
 isNatKind() -> U81(isNatKind())
 isNatList() -> tt()
 isNatList() -> U91(isNatKind())
 isNatList() -> U101(isNatKind())
 length(nil()) -> 0()
 length(cons(N)) -> U111(isNatList())
 take(0(),IL) -> U121(isNatIList())
 take(s(M),cons(N)) -> U131(isNatIList())

Proof:
 Fresh Variable Processor:
  loop length: 1
  terms:
   U114(tt())
  context: s(length([]))
  substitution:
   L -> U114(tt())
  Qed