TRS Standard pair #487070226

details

property	value
status	complete
benchmark	OvConsOS_nokinds_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	4.82485 seconds
cpu usage	4.89157
user time	4.7852
system time	0.106368
max virtual memory	386268.0
max residence set size	8856.0

stage attributes

key	value
starexec-result	YES

output

YES
Input TRS:
      1: a__zeros() -> cons(0(),zeros())
      2: a__U11(tt()) -> tt()
      3: a__U21(tt()) -> tt()
      4: a__U31(tt()) -> tt()
      5: a__U41(tt(),V2) -> a__U42(a__isNatIList(V2))
      6: a__U42(tt()) -> tt()
      7: a__U51(tt(),V2) -> a__U52(a__isNatList(V2))
      8: a__U52(tt()) -> tt()
      9: a__U61(tt(),V2) -> a__U62(a__isNatIList(V2))
      10: a__U62(tt()) -> tt()
      11: a__U71(tt(),L,N) -> a__U72(a__isNat(N),L)
      12: a__U72(tt(),L) -> s(a__length(mark(L)))
      13: a__U81(tt()) -> nil()
      14: a__U91(tt(),IL,M,N) -> a__U92(a__isNat(M),IL,M,N)
      15: a__U92(tt(),IL,M,N) -> a__U93(a__isNat(N),IL,M,N)
      16: a__U93(tt(),IL,M,N) -> cons(mark(N),take(M,IL))
      17: a__isNat(0()) -> tt()
      18: a__isNat(length(V1)) -> a__U11(a__isNatList(V1))
      19: a__isNat(s(V1)) -> a__U21(a__isNat(V1))
      20: a__isNatIList(V) -> a__U31(a__isNatList(V))
      21: a__isNatIList(zeros()) -> tt()
      22: a__isNatIList(cons(V1,V2)) -> a__U41(a__isNat(V1),V2)
      23: a__isNatList(nil()) -> tt()
      24: a__isNatList(cons(V1,V2)) -> a__U51(a__isNat(V1),V2)
      25: a__isNatList(take(V1,V2)) -> a__U61(a__isNat(V1),V2)
      26: a__length(nil()) -> 0()
      27: a__length(cons(N,L)) -> a__U71(a__isNatList(L),L,N)
      28: a__take(0(),IL) -> a__U81(a__isNatIList(IL))
      29: a__take(s(M),cons(N,IL)) -> a__U91(a__isNatIList(IL),IL,M,N)
      30: mark(zeros()) -> a__zeros()
      31: mark(U11(X)) -> a__U11(mark(X))
      32: mark(U21(X)) -> a__U21(mark(X))
      33: mark(U31(X)) -> a__U31(mark(X))
      34: mark(U41(X1,X2)) -> a__U41(mark(X1),X2)
      35: mark(U42(X)) -> a__U42(mark(X))
      36: mark(isNatIList(X)) -> a__isNatIList(X)
      37: mark(U51(X1,X2)) -> a__U51(mark(X1),X2)
      38: mark(U52(X)) -> a__U52(mark(X))
      39: mark(isNatList(X)) -> a__isNatList(X)
      40: mark(U61(X1,X2)) -> a__U61(mark(X1),X2)
      41: mark(U62(X)) -> a__U62(mark(X))
      42: mark(U71(X1,X2,X3)) -> a__U71(mark(X1),X2,X3)
      43: mark(U72(X1,X2)) -> a__U72(mark(X1),X2)
      44: mark(isNat(X)) -> a__isNat(X)
      45: mark(length(X)) -> a__length(mark(X))
      46: mark(U81(X)) -> a__U81(mark(X))
      47: mark(U91(X1,X2,X3,X4)) -> a__U91(mark(X1),X2,X3,X4)
      48: mark(U92(X1,X2,X3,X4)) -> a__U92(mark(X1),X2,X3,X4)
      49: mark(U93(X1,X2,X3,X4)) -> a__U93(mark(X1),X2,X3,X4)
      50: mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
      51: mark(cons(X1,X2)) -> cons(mark(X1),X2)
      52: mark(0()) -> 0()
      53: mark(tt()) -> tt()
      54: mark(s(X)) -> s(mark(X))
      55: mark(nil()) -> nil()
      56: a__zeros() -> zeros()
      57: a__U11(X) -> U11(X)
      58: a__U21(X) -> U21(X)
      59: a__U31(X) -> U31(X)
      60: a__U41(X1,X2) -> U41(X1,X2)
      61: a__U42(X) -> U42(X)
      62: a__isNatIList(X) -> isNatIList(X)
      63: a__U51(X1,X2) -> U51(X1,X2)
      64: a__U52(X) -> U52(X)
      65: a__isNatList(X) -> isNatList(X)
      66: a__U61(X1,X2) -> U61(X1,X2)
      67: a__U62(X) -> U62(X)
      68: a__U71(X1,X2,X3) -> U71(X1,X2,X3)
      69: a__U72(X1,X2) -> U72(X1,X2)
      70: a__isNat(X) -> isNat(X)
      71: a__length(X) -> length(X)
      72: a__U81(X) -> U81(X)
      73: a__U91(X1,X2,X3,X4) -> U91(X1,X2,X3,X4)
      74: a__U92(X1,X2,X3,X4) -> U92(X1,X2,X3,X4)
      75: a__U93(X1,X2,X3,X4) -> U93(X1,X2,X3,X4)
      76: a__take(X1,X2) -> take(X1,X2)
Number of strict rules: 76
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #mark(U72(X1,X2)) -> #a__U72(mark(X1),X2)
     #2: #mark(U72(X1,X2)) -> #mark(X1)
     #3: #a__take(s(M),cons(N,IL)) -> #a__U91(a__isNatIList(IL),IL,M,N)
     #4: #a__take(s(M),cons(N,IL)) -> #a__isNatIList(IL)
     #5: #mark(U42(X)) -> #a__U42(mark(X))
     #6: #mark(U42(X)) -> #mark(X)
     #7: #mark(U81(X)) -> #a__U81(mark(X))
     #8: #mark(U81(X)) -> #mark(X)
     #9: #mark(U71(X1,X2,X3)) -> #a__U71(mark(X1),X2,X3)
     #10: #mark(U71(X1,X2,X3)) -> #mark(X1)
     #11: #mark(U62(X)) -> #a__U62(mark(X))
     #12: #mark(U62(X)) -> #mark(X)
     #13: #mark(U51(X1,X2)) -> #a__U51(mark(X1),X2)
     #14: #mark(U51(X1,X2)) -> #mark(X1)
     #15: #mark(U91(X1,X2,X3,X4)) -> #a__U91(mark(X1),X2,X3,X4)
     #16: #mark(U91(X1,X2,X3,X4)) -> #mark(X1)
     #17: #mark(U92(X1,X2,X3,X4)) -> #a__U92(mark(X1),X2,X3,X4)
     #18: #mark(U92(X1,X2,X3,X4)) -> #mark(X1)

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