/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
Input TRS:
    1: U12(tt()) -> snd(splitAt(N,XS))
    2: U161(tt()) -> cons(N)
    3: U172(tt()) -> head(afterNth(N,XS))
    4: U182(tt()) -> Y
    5: U191(tt()) -> pair(nil(),XS)
    6: U203(tt()) -> U204(splitAt(N,XS))
    7: U204(pair(YS,ZS)) -> pair(cons(X),ZS)
    8: U212(tt()) -> XS
    9: U22(tt()) -> X
    10: U222(tt()) -> fst(splitAt(N,XS))
    11: U32(tt()) -> N
    12: U101(tt()) -> U102(isLNat())
    13: U102(tt()) -> tt()
    14: U11(tt()) -> U12(isLNat())
    15: U111(tt()) -> tt()
    16: U121(tt()) -> tt()
    17: U131(tt()) -> U132(isLNat())
    18: U132(tt()) -> tt()
    19: U141(tt()) -> U142(isLNat())
    20: U142(tt()) -> tt()
    21: U151(tt()) -> U152(isLNat())
    22: U152(tt()) -> tt()
    23: U171(tt()) -> U172(isLNat())
    24: U181(tt()) -> U182(isLNat())
    25: U201(tt()) -> U202(isNatural())
    26: U202(tt()) -> U203(isLNat())
    27: U21(tt()) -> U22(isLNat())
    28: U211(tt()) -> U212(isLNat())
    29: U221(tt()) -> U222(isLNat())
    30: U31(tt()) -> U32(isLNat())
    31: U41(tt()) -> U42(isLNat())
    32: U42(tt()) -> tt()
    33: U51(tt()) -> U52(isLNat())
    34: U52(tt()) -> tt()
    35: U61(tt()) -> tt()
    36: U71(tt()) -> tt()
    37: U81(tt()) -> tt()
    38: U91(tt()) -> tt()
    39: afterNth(N,XS) -> U11(isNatural())
    40: fst(pair(X,Y)) -> U21(isLNat())
    41: head(cons(N)) -> U31(isNatural())
    42: isLNat() -> tt()
    43: isLNat() -> U41(isNatural())
    44: isLNat() -> U51(isNatural())
    45: isLNat() -> U61(isPLNat())
    46: isLNat() -> U71(isNatural())
    47: isLNat() -> U81(isPLNat())
    48: isLNat() -> U91(isLNat())
    49: isLNat() -> U101(isNatural())
    50: isNatural() -> tt()
    51: isNatural() -> U111(isLNat())
    52: isNatural() -> U121(isNatural())
    53: isNatural() -> U131(isNatural())
    54: isPLNat() -> U141(isLNat())
    55: isPLNat() -> U151(isNatural())
    56: natsFrom(N) -> U161(isNatural())
    57: sel(N,XS) -> U171(isNatural())
    58: snd(pair(X,Y)) -> U181(isLNat())
    59: splitAt(0(),XS) -> U191(isLNat())
    60: splitAt(s(N),cons(X)) -> U201(isNatural())
    61: tail(cons(N)) -> U211(isNatural())
    62: take(N,XS) -> U221(isNatural())
Extra variable in rule 2.