TRS Standard pair #487071396

details

property	value
status	complete
benchmark	PEANO_complete_noand_C.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)	34.3269 seconds
cpu usage	35.5131
user time	34.902
system time	0.611051
max virtual memory	569348.0
max residence set size	9328.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE
Input TRS:
      1: active(U11(tt(),V1,V2)) -> mark(U12(isNatKind(V1),V1,V2))
      2: active(U12(tt(),V1,V2)) -> mark(U13(isNatKind(V2),V1,V2))
      3: active(U13(tt(),V1,V2)) -> mark(U14(isNatKind(V2),V1,V2))
      4: active(U14(tt(),V1,V2)) -> mark(U15(isNat(V1),V2))
      5: active(U15(tt(),V2)) -> mark(U16(isNat(V2)))
      6: active(U16(tt())) -> mark(tt())
      7: active(U21(tt(),V1)) -> mark(U22(isNatKind(V1),V1))
      8: active(U22(tt(),V1)) -> mark(U23(isNat(V1)))
      9: active(U23(tt())) -> mark(tt())
      10: active(U31(tt(),V2)) -> mark(U32(isNatKind(V2)))
      11: active(U32(tt())) -> mark(tt())
      12: active(U41(tt())) -> mark(tt())
      13: active(U51(tt(),N)) -> mark(U52(isNatKind(N),N))
      14: active(U52(tt(),N)) -> mark(N)
      15: active(U61(tt(),M,N)) -> mark(U62(isNatKind(M),M,N))
      16: active(U62(tt(),M,N)) -> mark(U63(isNat(N),M,N))
      17: active(U63(tt(),M,N)) -> mark(U64(isNatKind(N),M,N))
      18: active(U64(tt(),M,N)) -> mark(s(plus(N,M)))
      19: active(isNat(0())) -> mark(tt())
      20: active(isNat(plus(V1,V2))) -> mark(U11(isNatKind(V1),V1,V2))
      21: active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1))
      22: active(isNatKind(0())) -> mark(tt())
      23: active(isNatKind(plus(V1,V2))) -> mark(U31(isNatKind(V1),V2))
      24: active(isNatKind(s(V1))) -> mark(U41(isNatKind(V1)))
      25: active(plus(N,0())) -> mark(U51(isNat(N),N))
      26: active(plus(N,s(M))) -> mark(U61(isNat(M),M,N))
      27: active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3)
      28: active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3)
      29: active(U13(X1,X2,X3)) -> U13(active(X1),X2,X3)
      30: active(U14(X1,X2,X3)) -> U14(active(X1),X2,X3)
      31: active(U15(X1,X2)) -> U15(active(X1),X2)
      32: active(U16(X)) -> U16(active(X))
      33: active(U21(X1,X2)) -> U21(active(X1),X2)
      34: active(U22(X1,X2)) -> U22(active(X1),X2)
      35: active(U23(X)) -> U23(active(X))
      36: active(U31(X1,X2)) -> U31(active(X1),X2)
      37: active(U32(X)) -> U32(active(X))
      38: active(U41(X)) -> U41(active(X))
      39: active(U51(X1,X2)) -> U51(active(X1),X2)
      40: active(U52(X1,X2)) -> U52(active(X1),X2)
      41: active(U61(X1,X2,X3)) -> U61(active(X1),X2,X3)
      42: active(U62(X1,X2,X3)) -> U62(active(X1),X2,X3)
      43: active(U63(X1,X2,X3)) -> U63(active(X1),X2,X3)
      44: active(U64(X1,X2,X3)) -> U64(active(X1),X2,X3)
      45: active(s(X)) -> s(active(X))
      46: active(plus(X1,X2)) -> plus(active(X1),X2)
      47: active(plus(X1,X2)) -> plus(X1,active(X2))
      48: U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3))
      49: U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3))
      50: U13(mark(X1),X2,X3) -> mark(U13(X1,X2,X3))
      51: U14(mark(X1),X2,X3) -> mark(U14(X1,X2,X3))
      52: U15(mark(X1),X2) -> mark(U15(X1,X2))
      53: U16(mark(X)) -> mark(U16(X))
      54: U21(mark(X1),X2) -> mark(U21(X1,X2))
      55: U22(mark(X1),X2) -> mark(U22(X1,X2))
      56: U23(mark(X)) -> mark(U23(X))
      57: U31(mark(X1),X2) -> mark(U31(X1,X2))
      58: U32(mark(X)) -> mark(U32(X))
      59: U41(mark(X)) -> mark(U41(X))
      60: U51(mark(X1),X2) -> mark(U51(X1,X2))
      61: U52(mark(X1),X2) -> mark(U52(X1,X2))
      62: U61(mark(X1),X2,X3) -> mark(U61(X1,X2,X3))
      63: U62(mark(X1),X2,X3) -> mark(U62(X1,X2,X3))
      64: U63(mark(X1),X2,X3) -> mark(U63(X1,X2,X3))
      65: U64(mark(X1),X2,X3) -> mark(U64(X1,X2,X3))
      66: s(mark(X)) -> mark(s(X))
      67: plus(mark(X1),X2) -> mark(plus(X1,X2))
      68: plus(X1,mark(X2)) -> mark(plus(X1,X2))
      69: proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3))
      70: proper(tt()) -> ok(tt())
      71: proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3))
      72: proper(isNatKind(X)) -> isNatKind(proper(X))
      73: proper(U13(X1,X2,X3)) -> U13(proper(X1),proper(X2),proper(X3))
      74: proper(U14(X1,X2,X3)) -> U14(proper(X1),proper(X2),proper(X3))
      75: proper(U15(X1,X2)) -> U15(proper(X1),proper(X2))
      76: proper(isNat(X)) -> isNat(proper(X))
      77: proper(U16(X)) -> U16(proper(X))
      78: proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))
      79: proper(U22(X1,X2)) -> U22(proper(X1),proper(X2))
      80: proper(U23(X)) -> U23(proper(X))
      81: proper(U31(X1,X2)) -> U31(proper(X1),proper(X2))
      82: proper(U32(X)) -> U32(proper(X))
      83: proper(U41(X)) -> U41(proper(X))
      84: proper(U51(X1,X2)) -> U51(proper(X1),proper(X2))
      85: proper(U52(X1,X2)) -> U52(proper(X1),proper(X2))
      86: proper(U61(X1,X2,X3)) -> U61(proper(X1),proper(X2),proper(X3))
      87: proper(U62(X1,X2,X3)) -> U62(proper(X1),proper(X2),proper(X3))
      88: proper(U63(X1,X2,X3)) -> U63(proper(X1),proper(X2),proper(X3))
      89: proper(U64(X1,X2,X3)) -> U64(proper(X1),proper(X2),proper(X3))
      90: proper(s(X)) -> s(proper(X))
      91: proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
      92: proper(0()) -> ok(0())
      93: U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3))
      94: U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3))
      95: isNatKind(ok(X)) -> ok(isNatKind(X))
      96: U13(ok(X1),ok(X2),ok(X3)) -> ok(U13(X1,X2,X3))
      97: U14(ok(X1),ok(X2),ok(X3)) -> ok(U14(X1,X2,X3))
      98: U15(ok(X1),ok(X2)) -> ok(U15(X1,X2))

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job log

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actions all output return to TRS Standard