TRS Standard pair #487071631

details

property	value
status	complete
benchmark	OvConsOS_nokinds_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	29.6668 seconds
cpu usage	30.13
user time	29.73
system time	0.4
max virtual memory	450948.0
max residence set size	9632.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE
Input TRS:
      1: active(zeros()) -> mark(cons(0(),zeros()))
      2: active(U11(tt(),L)) -> mark(s(length(L)))
      3: active(U21(tt())) -> mark(nil())
      4: active(U31(tt(),IL,M,N)) -> mark(cons(N,take(M,IL)))
      5: active(and(tt(),X)) -> mark(X)
      6: active(isNat(0())) -> mark(tt())
      7: active(isNat(length(V1))) -> mark(isNatList(V1))
      8: active(isNat(s(V1))) -> mark(isNat(V1))
      9: active(isNatIList(V)) -> mark(isNatList(V))
      10: active(isNatIList(zeros())) -> mark(tt())
      11: active(isNatIList(cons(V1,V2))) -> mark(and(isNat(V1),isNatIList(V2)))
      12: active(isNatList(nil())) -> mark(tt())
      13: active(isNatList(cons(V1,V2))) -> mark(and(isNat(V1),isNatList(V2)))
      14: active(isNatList(take(V1,V2))) -> mark(and(isNat(V1),isNatIList(V2)))
      15: active(length(nil())) -> mark(0())
      16: active(length(cons(N,L))) -> mark(U11(and(isNatList(L),isNat(N)),L))
      17: active(take(0(),IL)) -> mark(U21(isNatIList(IL)))
      18: active(take(s(M),cons(N,IL))) -> mark(U31(and(isNatIList(IL),and(isNat(M),isNat(N))),IL,M,N))
      19: mark(zeros()) -> active(zeros())
      20: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      21: mark(0()) -> active(0())
      22: mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
      23: mark(tt()) -> active(tt())
      24: mark(s(X)) -> active(s(mark(X)))
      25: mark(length(X)) -> active(length(mark(X)))
      26: mark(U21(X)) -> active(U21(mark(X)))
      27: mark(nil()) -> active(nil())
      28: mark(U31(X1,X2,X3,X4)) -> active(U31(mark(X1),X2,X3,X4))
      29: mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      30: mark(and(X1,X2)) -> active(and(mark(X1),X2))
      31: mark(isNat(X)) -> active(isNat(X))
      32: mark(isNatList(X)) -> active(isNatList(X))
      33: mark(isNatIList(X)) -> active(isNatIList(X))
      34: cons(mark(X1),X2) -> cons(X1,X2)
      35: cons(X1,mark(X2)) -> cons(X1,X2)
      36: cons(active(X1),X2) -> cons(X1,X2)
      37: cons(X1,active(X2)) -> cons(X1,X2)
      38: U11(mark(X1),X2) -> U11(X1,X2)
      39: U11(X1,mark(X2)) -> U11(X1,X2)
      40: U11(active(X1),X2) -> U11(X1,X2)
      41: U11(X1,active(X2)) -> U11(X1,X2)
      42: s(mark(X)) -> s(X)
      43: s(active(X)) -> s(X)
      44: length(mark(X)) -> length(X)
      45: length(active(X)) -> length(X)
      46: U21(mark(X)) -> U21(X)
      47: U21(active(X)) -> U21(X)
      48: U31(mark(X1),X2,X3,X4) -> U31(X1,X2,X3,X4)
      49: U31(X1,mark(X2),X3,X4) -> U31(X1,X2,X3,X4)
      50: U31(X1,X2,mark(X3),X4) -> U31(X1,X2,X3,X4)
      51: U31(X1,X2,X3,mark(X4)) -> U31(X1,X2,X3,X4)
      52: U31(active(X1),X2,X3,X4) -> U31(X1,X2,X3,X4)
      53: U31(X1,active(X2),X3,X4) -> U31(X1,X2,X3,X4)
      54: U31(X1,X2,active(X3),X4) -> U31(X1,X2,X3,X4)
      55: U31(X1,X2,X3,active(X4)) -> U31(X1,X2,X3,X4)
      56: take(mark(X1),X2) -> take(X1,X2)
      57: take(X1,mark(X2)) -> take(X1,X2)
      58: take(active(X1),X2) -> take(X1,X2)
      59: take(X1,active(X2)) -> take(X1,X2)
      60: and(mark(X1),X2) -> and(X1,X2)
      61: and(X1,mark(X2)) -> and(X1,X2)
      62: and(active(X1),X2) -> and(X1,X2)
      63: and(X1,active(X2)) -> and(X1,X2)
      64: isNat(mark(X)) -> isNat(X)
      65: isNat(active(X)) -> isNat(X)
      66: isNatList(mark(X)) -> isNatList(X)
      67: isNatList(active(X)) -> isNatList(X)
      68: isNatIList(mark(X)) -> isNatIList(X)
      69: isNatIList(active(X)) -> isNatIList(X)
Number of strict rules: 69
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #active(U11(tt(),L)) -> #mark(s(length(L)))
     #2: #active(U11(tt(),L)) -> #s(length(L))
     #3: #active(U11(tt(),L)) -> #length(L)
     #4: #s(active(X)) -> #s(X)
     #5: #mark(take(X1,X2)) -> #active(take(mark(X1),mark(X2)))
     #6: #mark(take(X1,X2)) -> #take(mark(X1),mark(X2))
     #7: #mark(take(X1,X2)) -> #mark(X1)
     #8: #mark(take(X1,X2)) -> #mark(X2)
     #9: #cons(X1,mark(X2)) -> #cons(X1,X2)
     #10: #isNatList(mark(X)) -> #isNatList(X)
     #11: #U21(mark(X)) -> #U21(X)
     #12: #s(mark(X)) -> #s(X)
     #13: #U11(X1,active(X2)) -> #U11(X1,X2)
     #14: #cons(X1,active(X2)) -> #cons(X1,X2)
     #15: #U21(active(X)) -> #U21(X)
     #16: #U31(X1,active(X2),X3,X4) -> #U31(X1,X2,X3,X4)
     #17: #U31(mark(X1),X2,X3,X4) -> #U31(X1,X2,X3,X4)
     #18: #take(active(X1),X2) -> #take(X1,X2)
     #19: #and(X1,mark(X2)) -> #and(X1,X2)
     #20: #U11(mark(X1),X2) -> #U11(X1,X2)
     #21: #active(isNat(0())) -> #mark(tt())
     #22: #take(X1,active(X2)) -> #take(X1,X2)
     #23: #U31(X1,X2,X3,active(X4)) -> #U31(X1,X2,X3,X4)
     #24: #isNatList(active(X)) -> #isNatList(X)
     #25: #U11(active(X1),X2) -> #U11(X1,X2)

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