TRS Standard pair #516961303

details

property	value
status	complete
benchmark	MYNAT_complete_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT 2.1
configuration	default
runtime (wallclock)	6.00626993179 seconds
cpu usage	6.636414089
max memory	7.9437824E7

stage attributes

key	value
output-size	53660
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


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

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