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TRS Stand 20472 pair #381716318
details
property
value
status
complete
benchmark
LISTUTILITIES_complete_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
18.608686924 seconds
cpu usage
19.652403298
max memory
2.20106752E8
stage attributes
key
value
output-size
63394
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: a__U101(tt(),V1,V2) -> a__U102(a__isNatural(V1),V2) 2: a__U102(tt(),V2) -> a__U103(a__isLNat(V2)) 3: a__U103(tt()) -> tt() 4: a__U11(tt(),N,XS) -> a__snd(a__splitAt(mark(N),mark(XS))) 5: a__U111(tt(),V1) -> a__U112(a__isLNat(V1)) 6: a__U112(tt()) -> tt() 7: a__U121(tt(),V1) -> a__U122(a__isNatural(V1)) 8: a__U122(tt()) -> tt() 9: a__U131(tt(),V1,V2) -> a__U132(a__isNatural(V1),V2) 10: a__U132(tt(),V2) -> a__U133(a__isLNat(V2)) 11: a__U133(tt()) -> tt() 12: a__U141(tt(),V1,V2) -> a__U142(a__isLNat(V1),V2) 13: a__U142(tt(),V2) -> a__U143(a__isLNat(V2)) 14: a__U143(tt()) -> tt() 15: a__U151(tt(),V1,V2) -> a__U152(a__isNatural(V1),V2) 16: a__U152(tt(),V2) -> a__U153(a__isLNat(V2)) 17: a__U153(tt()) -> tt() 18: a__U161(tt(),N) -> cons(mark(N),natsFrom(s(N))) 19: a__U171(tt(),N,XS) -> a__head(a__afterNth(mark(N),mark(XS))) 20: a__U181(tt(),Y) -> mark(Y) 21: a__U191(tt(),XS) -> pair(nil(),mark(XS)) 22: a__U201(tt(),N,X,XS) -> a__U202(a__splitAt(mark(N),mark(XS)),X) 23: a__U202(pair(YS,ZS),X) -> pair(cons(mark(X),YS),mark(ZS)) 24: a__U21(tt(),X) -> mark(X) 25: a__U211(tt(),XS) -> mark(XS) 26: a__U221(tt(),N,XS) -> a__fst(a__splitAt(mark(N),mark(XS))) 27: a__U31(tt(),N) -> mark(N) 28: a__U41(tt(),V1,V2) -> a__U42(a__isNatural(V1),V2) 29: a__U42(tt(),V2) -> a__U43(a__isLNat(V2)) 30: a__U43(tt()) -> tt() 31: a__U51(tt(),V1,V2) -> a__U52(a__isNatural(V1),V2) 32: a__U52(tt(),V2) -> a__U53(a__isLNat(V2)) 33: a__U53(tt()) -> tt() 34: a__U61(tt(),V1) -> a__U62(a__isPLNat(V1)) 35: a__U62(tt()) -> tt() 36: a__U71(tt(),V1) -> a__U72(a__isNatural(V1)) 37: a__U72(tt()) -> tt() 38: a__U81(tt(),V1) -> a__U82(a__isPLNat(V1)) 39: a__U82(tt()) -> tt() 40: a__U91(tt(),V1) -> a__U92(a__isLNat(V1)) 41: a__U92(tt()) -> tt() 42: a__afterNth(N,XS) -> a__U11(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N,XS) 43: a__and(tt(),X) -> mark(X) 44: a__fst(pair(X,Y)) -> a__U21(a__and(a__and(a__isLNat(X),isLNatKind(X)),and(isLNat(Y),isLNatKind(Y))),X) 45: a__head(cons(N,XS)) -> a__U31(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N) 46: a__isLNat(nil()) -> tt() 47: a__isLNat(afterNth(V1,V2)) -> a__U41(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2) 48: a__isLNat(cons(V1,V2)) -> a__U51(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2) 49: a__isLNat(fst(V1)) -> a__U61(a__isPLNatKind(V1),V1) 50: a__isLNat(natsFrom(V1)) -> a__U71(a__isNaturalKind(V1),V1) 51: a__isLNat(snd(V1)) -> a__U81(a__isPLNatKind(V1),V1) 52: a__isLNat(tail(V1)) -> a__U91(a__isLNatKind(V1),V1) 53: a__isLNat(take(V1,V2)) -> a__U101(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2) 54: a__isLNatKind(nil()) -> tt() 55: a__isLNatKind(afterNth(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2)) 56: a__isLNatKind(cons(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2)) 57: a__isLNatKind(fst(V1)) -> a__isPLNatKind(V1) 58: a__isLNatKind(natsFrom(V1)) -> a__isNaturalKind(V1) 59: a__isLNatKind(snd(V1)) -> a__isPLNatKind(V1) 60: a__isLNatKind(tail(V1)) -> a__isLNatKind(V1) 61: a__isLNatKind(take(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2)) 62: a__isNatural(0()) -> tt() 63: a__isNatural(head(V1)) -> a__U111(a__isLNatKind(V1),V1) 64: a__isNatural(s(V1)) -> a__U121(a__isNaturalKind(V1),V1) 65: a__isNatural(sel(V1,V2)) -> a__U131(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2) 66: a__isNaturalKind(0()) -> tt() 67: a__isNaturalKind(head(V1)) -> a__isLNatKind(V1) 68: a__isNaturalKind(s(V1)) -> a__isNaturalKind(V1) 69: a__isNaturalKind(sel(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2)) 70: a__isPLNat(pair(V1,V2)) -> a__U141(a__and(a__isLNatKind(V1),isLNatKind(V2)),V1,V2) 71: a__isPLNat(splitAt(V1,V2)) -> a__U151(a__and(a__isNaturalKind(V1),isLNatKind(V2)),V1,V2) 72: a__isPLNatKind(pair(V1,V2)) -> a__and(a__isLNatKind(V1),isLNatKind(V2)) 73: a__isPLNatKind(splitAt(V1,V2)) -> a__and(a__isNaturalKind(V1),isLNatKind(V2)) 74: a__natsFrom(N) -> a__U161(a__and(a__isNatural(N),isNaturalKind(N)),N) 75: a__sel(N,XS) -> a__U171(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N,XS) 76: a__snd(pair(X,Y)) -> a__U181(a__and(a__and(a__isLNat(X),isLNatKind(X)),and(isLNat(Y),isLNatKind(Y))),Y) 77: a__splitAt(0(),XS) -> a__U191(a__and(a__isLNat(XS),isLNatKind(XS)),XS) 78: a__splitAt(s(N),cons(X,XS)) -> a__U201(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(and(isNatural(X),isNaturalKind(X)),and(isLNat(XS),isLNatKind(XS)))),N,X,XS) 79: a__tail(cons(N,XS)) -> a__U211(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),XS) 80: a__take(N,XS) -> a__U221(a__and(a__and(a__isNatural(N),isNaturalKind(N)),and(isLNat(XS),isLNatKind(XS))),N,XS) 81: mark(U101(X1,X2,X3)) -> a__U101(mark(X1),X2,X3) 82: mark(U102(X1,X2)) -> a__U102(mark(X1),X2) 83: mark(isNatural(X)) -> a__isNatural(X) 84: mark(U103(X)) -> a__U103(mark(X)) 85: mark(isLNat(X)) -> a__isLNat(X) 86: mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3) 87: mark(snd(X)) -> a__snd(mark(X)) 88: mark(splitAt(X1,X2)) -> a__splitAt(mark(X1),mark(X2)) 89: mark(U111(X1,X2)) -> a__U111(mark(X1),X2) 90: mark(U112(X)) -> a__U112(mark(X)) 91: mark(U121(X1,X2)) -> a__U121(mark(X1),X2) 92: mark(U122(X)) -> a__U122(mark(X))
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