TRS Standard pair #487071101

details

property	value
status	complete
benchmark	OvConsOS_complete_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	64.2753 seconds
cpu usage	66.09
user time	64.79
system time	1.3
max virtual memory	648976.0
max residence set size	9352.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE
Input TRS:
      1: active(zeros()) -> mark(cons(0(),zeros()))
      2: active(U11(tt(),V1)) -> mark(U12(isNatList(V1)))
      3: active(U12(tt())) -> mark(tt())
      4: active(U21(tt(),V1)) -> mark(U22(isNat(V1)))
      5: active(U22(tt())) -> mark(tt())
      6: active(U31(tt(),V)) -> mark(U32(isNatList(V)))
      7: active(U32(tt())) -> mark(tt())
      8: active(U41(tt(),V1,V2)) -> mark(U42(isNat(V1),V2))
      9: active(U42(tt(),V2)) -> mark(U43(isNatIList(V2)))
      10: active(U43(tt())) -> mark(tt())
      11: active(U51(tt(),V1,V2)) -> mark(U52(isNat(V1),V2))
      12: active(U52(tt(),V2)) -> mark(U53(isNatList(V2)))
      13: active(U53(tt())) -> mark(tt())
      14: active(U61(tt(),V1,V2)) -> mark(U62(isNat(V1),V2))
      15: active(U62(tt(),V2)) -> mark(U63(isNatIList(V2)))
      16: active(U63(tt())) -> mark(tt())
      17: active(U71(tt(),L)) -> mark(s(length(L)))
      18: active(U81(tt())) -> mark(nil())
      19: active(U91(tt(),IL,M,N)) -> mark(cons(N,take(M,IL)))
      20: active(and(tt(),X)) -> mark(X)
      21: active(isNat(0())) -> mark(tt())
      22: active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1),V1))
      23: active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
      24: active(isNatIList(V)) -> mark(U31(isNatIListKind(V),V))
      25: active(isNatIList(zeros())) -> mark(tt())
      26: active(isNatIList(cons(V1,V2))) -> mark(U41(and(isNatKind(V1),isNatIListKind(V2)),V1,V2))
      27: active(isNatIListKind(nil())) -> mark(tt())
      28: active(isNatIListKind(zeros())) -> mark(tt())
      29: active(isNatIListKind(cons(V1,V2))) -> mark(and(isNatKind(V1),isNatIListKind(V2)))
      30: active(isNatIListKind(take(V1,V2))) -> mark(and(isNatKind(V1),isNatIListKind(V2)))
      31: active(isNatKind(0())) -> mark(tt())
      32: active(isNatKind(length(V1))) -> mark(isNatIListKind(V1))
      33: active(isNatKind(s(V1))) -> mark(isNatKind(V1))
      34: active(isNatList(nil())) -> mark(tt())
      35: active(isNatList(cons(V1,V2))) -> mark(U51(and(isNatKind(V1),isNatIListKind(V2)),V1,V2))
      36: active(isNatList(take(V1,V2))) -> mark(U61(and(isNatKind(V1),isNatIListKind(V2)),V1,V2))
      37: active(length(nil())) -> mark(0())
      38: active(length(cons(N,L))) -> mark(U71(and(and(isNatList(L),isNatIListKind(L)),and(isNat(N),isNatKind(N))),L))
      39: active(take(0(),IL)) -> mark(U81(and(isNatIList(IL),isNatIListKind(IL))))
      40: active(take(s(M),cons(N,IL))) -> mark(U91(and(and(isNatIList(IL),isNatIListKind(IL)),and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N)))),IL,M,N))
      41: mark(zeros()) -> active(zeros())
      42: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      43: mark(0()) -> active(0())
      44: mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
      45: mark(tt()) -> active(tt())
      46: mark(U12(X)) -> active(U12(mark(X)))
      47: mark(isNatList(X)) -> active(isNatList(X))
      48: mark(U21(X1,X2)) -> active(U21(mark(X1),X2))
      49: mark(U22(X)) -> active(U22(mark(X)))
      50: mark(isNat(X)) -> active(isNat(X))
      51: mark(U31(X1,X2)) -> active(U31(mark(X1),X2))
      52: mark(U32(X)) -> active(U32(mark(X)))
      53: mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      54: mark(U42(X1,X2)) -> active(U42(mark(X1),X2))
      55: mark(U43(X)) -> active(U43(mark(X)))
      56: mark(isNatIList(X)) -> active(isNatIList(X))
      57: mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      58: mark(U52(X1,X2)) -> active(U52(mark(X1),X2))
      59: mark(U53(X)) -> active(U53(mark(X)))
      60: mark(U61(X1,X2,X3)) -> active(U61(mark(X1),X2,X3))
      61: mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      62: mark(U63(X)) -> active(U63(mark(X)))
      63: mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      64: mark(s(X)) -> active(s(mark(X)))
      65: mark(length(X)) -> active(length(mark(X)))
      66: mark(U81(X)) -> active(U81(mark(X)))
      67: mark(nil()) -> active(nil())
      68: mark(U91(X1,X2,X3,X4)) -> active(U91(mark(X1),X2,X3,X4))
      69: mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      70: mark(and(X1,X2)) -> active(and(mark(X1),X2))
      71: mark(isNatIListKind(X)) -> active(isNatIListKind(X))
      72: mark(isNatKind(X)) -> active(isNatKind(X))
      73: cons(mark(X1),X2) -> cons(X1,X2)
      74: cons(X1,mark(X2)) -> cons(X1,X2)
      75: cons(active(X1),X2) -> cons(X1,X2)
      76: cons(X1,active(X2)) -> cons(X1,X2)
      77: U11(mark(X1),X2) -> U11(X1,X2)
      78: U11(X1,mark(X2)) -> U11(X1,X2)
      79: U11(active(X1),X2) -> U11(X1,X2)
      80: U11(X1,active(X2)) -> U11(X1,X2)
      81: U12(mark(X)) -> U12(X)
      82: U12(active(X)) -> U12(X)
      83: isNatList(mark(X)) -> isNatList(X)
      84: isNatList(active(X)) -> isNatList(X)
      85: U21(mark(X1),X2) -> U21(X1,X2)
      86: U21(X1,mark(X2)) -> U21(X1,X2)
      87: U21(active(X1),X2) -> U21(X1,X2)
      88: U21(X1,active(X2)) -> U21(X1,X2)
      89: U22(mark(X)) -> U22(X)
      90: U22(active(X)) -> U22(X)
      91: isNat(mark(X)) -> isNat(X)
      92: isNat(active(X)) -> isNat(X)
      93: U31(mark(X1),X2) -> U31(X1,X2)
      94: U31(X1,mark(X2)) -> U31(X1,X2)
      95: U31(active(X1),X2) -> U31(X1,X2)
      96: U31(X1,active(X2)) -> U31(X1,X2)
      97: U32(mark(X)) -> U32(X)
      98: U32(active(X)) -> U32(X)

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job log

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