TRS Standard pair #615300458

details
property	value
status	complete
benchmark	LISTUTILITIES_complete_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n158.star.cs.uiowa.edu
space	Transformed_CSR_04
run statistics
property	value
solver	NaTT 2.3.3
configuration	default
runtime (wallclock)	288.85128212 seconds
cpu usage	381.415740537
max memory	1.6234278912E10
stage attributes
key	value
output-size	115274
starexec-result	"YES"
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: a__U101(tt(),V1,V2) -> a__U102(a__isNatural(V1),V2)
    2: a__U102(tt(),V2) -> a__U103(a__isLNat(V2))
    3: a__U103(tt()) -> tt()
    4: a__U11(tt(),N,XS) -> a__snd(a__splitAt(mark(N),mark(XS)))
    5: a__U111(tt(),V1) -> a__U112(a__isLNat(V1))
    6: a__U112(tt()) -> tt()
    7: a__U121(tt(),V1) -> a__U122(a__isNatural(V1))
    8: a__U122(tt()) -> tt()
    9: a__U131(tt(),V1,V2) -> a__U132(a__isNatural(V1),V2)
    10: a__U132(tt(),V2) -> a__U133(a__isLNat(V2))
    11: a__U133(tt()) -> tt()
    12: a__U141(tt(),V1,V2) -> a__U142(a__isLNat(V1),V2)
    13: a__U142(tt(),V2) -> a__U143(a__isLNat(V2))
    14: a__U143(tt()) -> tt()
    15: a__U151(tt(),V1,V2) -> a__U152(a__isNatural(V1),V2)
    16: a__U152(tt(),V2) -> a__U153(a__isLNat(V2))
    17: a__U153(tt()) -> tt()
    18: a__U161(tt(),N) -> cons(mark(N),natsFrom(s(N)))
    19: a__U171(tt(),N,XS) -> a__head(a__afterNth(mark(N),mark(XS)))
    20: a__U181(tt(),Y) -> mark(Y)
    21: a__U191(tt(),XS) -> pair(nil(),mark(XS))
    22: a__U201(tt(),N,X,XS) -> a__U202(a__splitAt(mark(N),mark(XS)),X)
    23: a__U202(pair(YS,ZS),X) -> pair(cons(mark(X),YS),mark(ZS))
    24: a__U21(tt(),X) -> mark(X)
    25: a__U211(tt(),XS) -> mark(XS)
    26: a__U221(tt(),N,XS) -> a__fst(a__splitAt(mark(N),mark(XS)))
    27: a__U31(tt(),N) -> mark(N)
    28: a__U41(tt(),V1,V2) -> a__U42(a__isNatural(V1),V2)
    29: a__U42(tt(),V2) -> a__U43(a__isLNat(V2))
    30: a__U43(tt()) -> tt()
    31: a__U51(tt(),V1,V2) -> a__U52(a__isNatural(V1),V2)
    32: a__U52(tt(),V2) -> a__U53(a__isLNat(V2))
    33: a__U53(tt()) -> tt()
    34: a__U61(tt(),V1) -> a__U62(a__isPLNat(V1))
    35: a__U62(tt()) -> tt()
    36: a__U71(tt(),V1) -> a__U72(a__isNatural(V1))
    37: a__U72(tt()) -> tt()
    38: a__U81(tt(),V1) -> a__U82(a__isPLNat(V1))
    39: a__U82(tt()) -> tt()
    40: a__U91(tt(),V1) -> a__U92(a__isLNat(V1))
    41: a__U92(tt()) -> tt()
    42: a__afterNth(N,XS) -> a__U11(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N,XS)
    43: a__and(tt(),X) -> mark(X)
    44: a__fst(pair(X,Y)) -> a__U21(a__and(a__and(a__isLNat(X),isLNatKind(X)),and(isLNat(Y),isLNatKind(Y))),X)
    45: a__head(cons(N,XS)) -> a__U31(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N)
    46: a__isLNat(nil()) -> tt()
    47: a__isLNat(afterNth(V1,V2)) -> a__U41(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2)
    48: a__isLNat(cons(V1,V2)) -> a__U51(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2)
    49: a__isLNat(fst(V1)) -> a__U61(a__isPLNatKind(V1),V1)
    50: a__isLNat(natsFrom(V1)) -> a__U71(a__isNaturalKind(V1),V1)
    51: a__isLNat(snd(V1)) -> a__U81(a__isPLNatKind(V1),V1)
    52: a__isLNat(tail(V1)) -> a__U91(a__isLNatKind(V1),V1)
    53: a__isLNat(take(V1,V2)) -> a__U101(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2)
    54: a__isLNatKind(nil()) -> tt()
    55: a__isLNatKind(afterNth(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2))
    56: a__isLNatKind(cons(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2))
    57: a__isLNatKind(fst(V1)) -> a__isPLNatKind(V1)
    58: a__isLNatKind(natsFrom(V1)) -> a__isNaturalKind(V1)
    59: a__isLNatKind(snd(V1)) -> a__isPLNatKind(V1)
    60: a__isLNatKind(tail(V1)) -> a__isLNatKind(V1)
    61: a__isLNatKind(take(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2))
    62: a__isNatural(0()) -> tt()
    63: a__isNatural(head(V1)) -> a__U111(a__isLNatKind(V1),V1)
    64: a__isNatural(s(V1)) -> a__U121(a__isNaturalKind(V1),V1)
    65: a__isNatural(sel(V1,V2)) -> a__U131(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2)
    66: a__isNaturalKind(0()) -> tt()
    67: a__isNaturalKind(head(V1)) -> a__isLNatKind(V1)
    68: a__isNaturalKind(s(V1)) -> a__isNaturalKind(V1)
    69: a__isNaturalKind(sel(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2))
    70: a__isPLNat(pair(V1,V2)) -> a__U141(a__and(a__isLNatKind(V1),isLNatKind(V2)),V1,V2)
    71: a__isPLNat(splitAt(V1,V2)) -> a__U151(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2)
    72: a__isPLNatKind(pair(V1,V2)) -> a__and(a__isLNatKind(V1),isLNatKind(V2))
    73: a__isPLNatKind(splitAt(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2))
    74: a__natsFrom(N) -> a__U161(a__and(a__isNatural(N),isNaturalKind(N)),N)
    75: a__sel(N,XS) -> a__U171(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N,XS)
    76: a__snd(pair(X,Y)) -> a__U181(a__and(a__and(a__isLNat(X),isLNatKind(X)),and(isLNat(Y),isLNatKind(Y))),Y)
    77: a__splitAt(0(),XS) -> a__U191(a__and(a__isLNat(XS),isLNatKind(XS)),XS)
    78: a__splitAt(s(N),cons(X,XS)) -> a__U201(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(and(isNatural(X),isNaturalKind(X)),and(isLNat(XS),isLNatKind(XS)))),N,X,XS)
    79: a__tail(cons(N,XS)) -> a__U211(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),XS)
    80: a__take(N,XS) -> a__U221(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N,XS)
    81: mark(U101(X1,X2,X3)) -> a__U101(mark(X1),X2,X3)
    82: mark(U102(X1,X2)) -> a__U102(mark(X1),X2)
    83: mark(isNatural(X)) -> a__isNatural(X)
    84: mark(U103(X)) -> a__U103(mark(X))
    85: mark(isLNat(X)) -> a__isLNat(X)
    86: mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3)
    87: mark(snd(X)) -> a__snd(mark(X))
    88: mark(splitAt(X1,X2)) -> a__splitAt(mark(X1),mark(X2))
    89: mark(U111(X1,X2)) -> a__U111(mark(X1),X2)
    90: mark(U112(X)) -> a__U112(mark(X))
    91: mark(U121(X1,X2)) -> a__U121(mark(X1),X2)
    92: mark(U122(X)) -> a__U122(mark(X))
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