TRS Standard pair #487069471

details

property	value
status	complete
benchmark	MYNAT_complete_noand_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n187.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	20.5261 seconds
cpu usage	21.39
user time	20.62
system time	0.77
max virtual memory	397260.0
max residence set size	9340.0

stage attributes

key	value
starexec-result	YES

output

YES
Input TRS:
      1: active(U101(tt(),M,N)) -> mark(U102(isNatKind(M),M,N))
      2: active(U102(tt(),M,N)) -> mark(U103(isNat(N),M,N))
      3: active(U103(tt(),M,N)) -> mark(U104(isNatKind(N),M,N))
      4: active(U104(tt(),M,N)) -> mark(plus(x(N,M),N))
      5: active(U11(tt(),V1,V2)) -> mark(U12(isNatKind(V1),V1,V2))
      6: active(U12(tt(),V1,V2)) -> mark(U13(isNatKind(V2),V1,V2))
      7: active(U13(tt(),V1,V2)) -> mark(U14(isNatKind(V2),V1,V2))
      8: active(U14(tt(),V1,V2)) -> mark(U15(isNat(V1),V2))
      9: active(U15(tt(),V2)) -> mark(U16(isNat(V2)))
      10: active(U16(tt())) -> mark(tt())
      11: active(U21(tt(),V1)) -> mark(U22(isNatKind(V1),V1))
      12: active(U22(tt(),V1)) -> mark(U23(isNat(V1)))
      13: active(U23(tt())) -> mark(tt())
      14: active(U31(tt(),V1,V2)) -> mark(U32(isNatKind(V1),V1,V2))
      15: active(U32(tt(),V1,V2)) -> mark(U33(isNatKind(V2),V1,V2))
      16: active(U33(tt(),V1,V2)) -> mark(U34(isNatKind(V2),V1,V2))
      17: active(U34(tt(),V1,V2)) -> mark(U35(isNat(V1),V2))
      18: active(U35(tt(),V2)) -> mark(U36(isNat(V2)))
      19: active(U36(tt())) -> mark(tt())
      20: active(U41(tt(),V2)) -> mark(U42(isNatKind(V2)))
      21: active(U42(tt())) -> mark(tt())
      22: active(U51(tt())) -> mark(tt())
      23: active(U61(tt(),V2)) -> mark(U62(isNatKind(V2)))
      24: active(U62(tt())) -> mark(tt())
      25: active(U71(tt(),N)) -> mark(U72(isNatKind(N),N))
      26: active(U72(tt(),N)) -> mark(N)
      27: active(U81(tt(),M,N)) -> mark(U82(isNatKind(M),M,N))
      28: active(U82(tt(),M,N)) -> mark(U83(isNat(N),M,N))
      29: active(U83(tt(),M,N)) -> mark(U84(isNatKind(N),M,N))
      30: active(U84(tt(),M,N)) -> mark(s(plus(N,M)))
      31: active(U91(tt(),N)) -> mark(U92(isNatKind(N)))
      32: active(U92(tt())) -> mark(0())
      33: active(isNat(0())) -> mark(tt())
      34: active(isNat(plus(V1,V2))) -> mark(U11(isNatKind(V1),V1,V2))
      35: active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
      36: active(isNat(x(V1,V2))) -> mark(U31(isNatKind(V1),V1,V2))
      37: active(isNatKind(0())) -> mark(tt())
      38: active(isNatKind(plus(V1,V2))) -> mark(U41(isNatKind(V1),V2))
      39: active(isNatKind(s(V1))) -> mark(U51(isNatKind(V1)))
      40: active(isNatKind(x(V1,V2))) -> mark(U61(isNatKind(V1),V2))
      41: active(plus(N,0())) -> mark(U71(isNat(N),N))
      42: active(plus(N,s(M))) -> mark(U81(isNat(M),M,N))
      43: active(x(N,0())) -> mark(U91(isNat(N),N))
      44: active(x(N,s(M))) -> mark(U101(isNat(M),M,N))
      45: mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      46: mark(tt()) -> active(tt())
      47: mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      48: mark(isNatKind(X)) -> active(isNatKind(X))
      49: mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      50: mark(isNat(X)) -> active(isNat(X))
      51: mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      52: mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
      53: mark(x(X1,X2)) -> active(x(mark(X1),mark(X2)))
      54: mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      55: mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      56: mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      57: mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      58: mark(U15(X1,X2)) -> active(U15(mark(X1),X2))
      59: mark(U16(X)) -> active(U16(mark(X)))
      60: mark(U21(X1,X2)) -> active(U21(mark(X1),X2))
      61: mark(U22(X1,X2)) -> active(U22(mark(X1),X2))
      62: mark(U23(X)) -> active(U23(mark(X)))
      63: mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      64: mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      65: mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      66: mark(U34(X1,X2,X3)) -> active(U34(mark(X1),X2,X3))
      67: mark(U35(X1,X2)) -> active(U35(mark(X1),X2))
      68: mark(U36(X)) -> active(U36(mark(X)))
      69: mark(U41(X1,X2)) -> active(U41(mark(X1),X2))
      70: mark(U42(X)) -> active(U42(mark(X)))
      71: mark(U51(X)) -> active(U51(mark(X)))
      72: mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      73: mark(U62(X)) -> active(U62(mark(X)))
      74: mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      75: mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      76: mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3))
      77: mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3))
      78: mark(U83(X1,X2,X3)) -> active(U83(mark(X1),X2,X3))
      79: mark(U84(X1,X2,X3)) -> active(U84(mark(X1),X2,X3))
      80: mark(s(X)) -> active(s(mark(X)))
      81: mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      82: mark(U92(X)) -> active(U92(mark(X)))
      83: mark(0()) -> active(0())
      84: U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      85: U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      86: U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      87: U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      88: U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      89: U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      90: U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      91: U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      92: U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      93: U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      94: U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      95: U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      96: isNatKind(mark(X)) -> isNatKind(X)
      97: isNatKind(active(X)) -> isNatKind(X)
      98: U103(mark(X1),X2,X3) -> U103(X1,X2,X3)

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job log

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