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Runti Compl Full Rewri 10127 pair #381903774
details
property
value
status
complete
benchmark
LISTUTILITIES_complete_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.053711891 seconds
cpu usage
791.027834469
max memory
4.55499776E9
stage attributes
key
value
output-size
20278
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),?) * Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: 0() -> n__0() U101(tt(),V1,V2) -> U102(isNatural(activate(V1)),activate(V2)) U102(tt(),V2) -> U103(isLNat(activate(V2))) U103(tt()) -> tt() U11(tt(),N,XS) -> snd(splitAt(activate(N),activate(XS))) U111(tt(),V1) -> U112(isLNat(activate(V1))) U112(tt()) -> tt() U121(tt(),V1) -> U122(isNatural(activate(V1))) U122(tt()) -> tt() U131(tt(),V1,V2) -> U132(isNatural(activate(V1)),activate(V2)) U132(tt(),V2) -> U133(isLNat(activate(V2))) U133(tt()) -> tt() U141(tt(),V1,V2) -> U142(isLNat(activate(V1)),activate(V2)) U142(tt(),V2) -> U143(isLNat(activate(V2))) U143(tt()) -> tt() U151(tt(),V1,V2) -> U152(isNatural(activate(V1)),activate(V2)) U152(tt(),V2) -> U153(isLNat(activate(V2))) U153(tt()) -> tt() U161(tt(),N) -> cons(activate(N),n__natsFrom(s(activate(N)))) U171(tt(),N,XS) -> head(afterNth(activate(N),activate(XS))) U181(tt(),Y) -> activate(Y) U191(tt(),XS) -> pair(nil(),activate(XS)) U201(tt(),N,X,XS) -> U202(splitAt(activate(N),activate(XS)),activate(X)) U202(pair(YS,ZS),X) -> pair(cons(activate(X),YS),ZS) U21(tt(),X) -> activate(X) U211(tt(),XS) -> activate(XS) U221(tt(),N,XS) -> fst(splitAt(activate(N),activate(XS))) U31(tt(),N) -> activate(N) U41(tt(),V1,V2) -> U42(isNatural(activate(V1)),activate(V2)) U42(tt(),V2) -> U43(isLNat(activate(V2))) U43(tt()) -> tt() U51(tt(),V1,V2) -> U52(isNatural(activate(V1)),activate(V2)) U52(tt(),V2) -> U53(isLNat(activate(V2))) U53(tt()) -> tt() U61(tt(),V1) -> U62(isPLNat(activate(V1))) U62(tt()) -> tt() U71(tt(),V1) -> U72(isNatural(activate(V1))) U72(tt()) -> tt() U81(tt(),V1) -> U82(isPLNat(activate(V1))) U82(tt()) -> tt() U91(tt(),V1) -> U92(isLNat(activate(V1))) U92(tt()) -> tt() activate(X) -> X activate(n__0()) -> 0() activate(n__afterNth(X1,X2)) -> afterNth(X1,X2) activate(n__and(X1,X2)) -> and(X1,X2) activate(n__cons(X1,X2)) -> cons(X1,X2) activate(n__fst(X)) -> fst(X) activate(n__head(X)) -> head(X) activate(n__isLNatKind(X)) -> isLNatKind(X) activate(n__isNaturalKind(X)) -> isNaturalKind(X) activate(n__natsFrom(X)) -> natsFrom(X) activate(n__nil()) -> nil() activate(n__pair(X1,X2)) -> pair(X1,X2) activate(n__s(X)) -> s(X) activate(n__sel(X1,X2)) -> sel(X1,X2) activate(n__snd(X)) -> snd(X) activate(n__splitAt(X1,X2)) -> splitAt(X1,X2) activate(n__tail(X)) -> tail(X) activate(n__take(X1,X2)) -> take(X1,X2) afterNth(N,XS) -> U11(and(and(isNatural(N),n__isNaturalKind(N)),n__and(isLNat(XS),n__isLNatKind(XS))),N,XS) afterNth(X1,X2) -> n__afterNth(X1,X2) and(X1,X2) -> n__and(X1,X2) and(tt(),X) -> activate(X) cons(X1,X2) -> n__cons(X1,X2) fst(X) -> n__fst(X) fst(pair(X,Y)) -> U21(and(and(isLNat(X),n__isLNatKind(X)),n__and(isLNat(Y),n__isLNatKind(Y))),X) head(X) -> n__head(X) head(cons(N,XS)) -> U31(and(and(isNatural(N),n__isNaturalKind(N)) ,n__and(isLNat(activate(XS)),n__isLNatKind(activate(XS)))) ,N) isLNat(n__afterNth(V1,V2)) -> U41(and(isNaturalKind(activate(V1)),n__isLNatKind(activate(V2))) ,activate(V1) ,activate(V2)) isLNat(n__cons(V1,V2)) -> U51(and(isNaturalKind(activate(V1)),n__isLNatKind(activate(V2))) ,activate(V1) ,activate(V2)) isLNat(n__fst(V1)) -> U61(isPLNatKind(activate(V1)),activate(V1)) isLNat(n__natsFrom(V1)) -> U71(isNaturalKind(activate(V1)),activate(V1)) isLNat(n__nil()) -> tt() isLNat(n__snd(V1)) -> U81(isPLNatKind(activate(V1)),activate(V1)) isLNat(n__tail(V1)) -> U91(isLNatKind(activate(V1)),activate(V1)) isLNat(n__take(V1,V2)) -> U101(and(isNaturalKind(activate(V1)),n__isLNatKind(activate(V2))) ,activate(V1) ,activate(V2)) isLNatKind(X) -> n__isLNatKind(X) isLNatKind(n__afterNth(V1,V2)) -> and(isNaturalKind(activate(V1)),n__isLNatKind(activate(V2))) isLNatKind(n__cons(V1,V2)) -> and(isNaturalKind(activate(V1)),n__isLNatKind(activate(V2))) isLNatKind(n__fst(V1)) -> isPLNatKind(activate(V1)) isLNatKind(n__natsFrom(V1)) -> isNaturalKind(activate(V1))
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