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TRS Standard pair #516961629
details
property
value
status
complete
benchmark
ExSec4_2_DLMMU04_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.783114910126 seconds
cpu usage
1.619235075
max memory
2.70086144E8
stage attributes
key
value
output-size
9688
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: natsFrom(N) -> cons(N,n__natsFrom(n__s(N))) fst(pair(XS,YS)) -> XS snd(pair(XS,YS)) -> YS splitAt(0(),XS) -> pair(nil(),XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS) head(cons(N,XS)) -> N tail(cons(N,XS)) -> activate(XS) sel(N,XS) -> head(afterNth(N,XS)) take(N,XS) -> fst(splitAt(N,XS)) afterNth(N,XS) -> snd(splitAt(N,XS)) natsFrom(X) -> n__natsFrom(X) s(X) -> n__s(X) activate(n__natsFrom(X)) -> natsFrom(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X Proof: DP Processor: DPs: splitAt#(s(N),cons(X,XS)) -> activate#(XS) splitAt#(s(N),cons(X,XS)) -> splitAt#(N,activate(XS)) splitAt#(s(N),cons(X,XS)) -> u#(splitAt(N,activate(XS)),N,X,activate(XS)) u#(pair(YS,ZS),N,X,XS) -> activate#(X) tail#(cons(N,XS)) -> activate#(XS) sel#(N,XS) -> afterNth#(N,XS) sel#(N,XS) -> head#(afterNth(N,XS)) take#(N,XS) -> splitAt#(N,XS) take#(N,XS) -> fst#(splitAt(N,XS)) afterNth#(N,XS) -> splitAt#(N,XS) afterNth#(N,XS) -> snd#(splitAt(N,XS)) activate#(n__natsFrom(X)) -> activate#(X) activate#(n__natsFrom(X)) -> natsFrom#(activate(X)) activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) TRS: natsFrom(N) -> cons(N,n__natsFrom(n__s(N))) fst(pair(XS,YS)) -> XS snd(pair(XS,YS)) -> YS splitAt(0(),XS) -> pair(nil(),XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS) head(cons(N,XS)) -> N tail(cons(N,XS)) -> activate(XS) sel(N,XS) -> head(afterNth(N,XS)) take(N,XS) -> fst(splitAt(N,XS)) afterNth(N,XS) -> snd(splitAt(N,XS)) natsFrom(X) -> n__natsFrom(X) s(X) -> n__s(X) activate(n__natsFrom(X)) -> natsFrom(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X TDG Processor: DPs: splitAt#(s(N),cons(X,XS)) -> activate#(XS) splitAt#(s(N),cons(X,XS)) -> splitAt#(N,activate(XS)) splitAt#(s(N),cons(X,XS)) -> u#(splitAt(N,activate(XS)),N,X,activate(XS)) u#(pair(YS,ZS),N,X,XS) -> activate#(X) tail#(cons(N,XS)) -> activate#(XS) sel#(N,XS) -> afterNth#(N,XS) sel#(N,XS) -> head#(afterNth(N,XS)) take#(N,XS) -> splitAt#(N,XS) take#(N,XS) -> fst#(splitAt(N,XS)) afterNth#(N,XS) -> splitAt#(N,XS) afterNth#(N,XS) -> snd#(splitAt(N,XS)) activate#(n__natsFrom(X)) -> activate#(X) activate#(n__natsFrom(X)) -> natsFrom#(activate(X)) activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) TRS: natsFrom(N) -> cons(N,n__natsFrom(n__s(N))) fst(pair(XS,YS)) -> XS snd(pair(XS,YS)) -> YS splitAt(0(),XS) -> pair(nil(),XS) splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS)) u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS) head(cons(N,XS)) -> N tail(cons(N,XS)) -> activate(XS) sel(N,XS) -> head(afterNth(N,XS)) take(N,XS) -> fst(splitAt(N,XS)) afterNth(N,XS) -> snd(splitAt(N,XS)) natsFrom(X) -> n__natsFrom(X) s(X) -> n__s(X) activate(n__natsFrom(X)) -> natsFrom(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X graph: take#(N,XS) -> splitAt#(N,XS) -> splitAt#(s(N),cons(X,XS)) -> u#(splitAt(N,activate(XS)),N,X,activate(XS)) take#(N,XS) -> splitAt#(N,XS) -> splitAt#(s(N),cons(X,XS)) -> splitAt#(N,activate(XS))
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