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TRS Standard pair #487071284
details
property
value
status
complete
benchmark
ExSec4_2_DLMMU04_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n187.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0218841 seconds
cpu usage
0.022255
user time
0.008526
system time
0.013729
max virtual memory
113188.0
max residence set size
5424.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S N:S X:S XS:S YS:S ZS:S) (RULES activate(n__natsFrom(X:S)) -> natsFrom(X:S) activate(X:S) -> X:S afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S)) fst(pair(XS:S,YS:S)) -> XS:S head(cons(N:S,XS:S)) -> N:S natsFrom(N:S) -> cons(N:S,n__natsFrom(s(N:S))) natsFrom(X:S) -> n__natsFrom(X:S) sel(N:S,XS:S) -> head(afterNth(N:S,XS:S)) snd(pair(XS:S,YS:S)) -> YS:S splitAt(0,XS:S) -> pair(nil,XS:S) splitAt(s(N:S),cons(X:S,XS:S)) -> u(splitAt(N:S,activate(XS:S)),N:S,X:S,activate(XS:S)) tail(cons(N:S,XS:S)) -> activate(XS:S) take(N:S,XS:S) -> fst(splitAt(N:S,XS:S)) u(pair(YS:S,ZS:S),N:S,X:S,XS:S) -> pair(cons(activate(X:S),YS:S),ZS:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__natsFrom(X:S)) -> NATSFROM(X:S) AFTERNTH(N:S,XS:S) -> SND(splitAt(N:S,XS:S)) AFTERNTH(N:S,XS:S) -> SPLITAT(N:S,XS:S) SEL(N:S,XS:S) -> AFTERNTH(N:S,XS:S) SEL(N:S,XS:S) -> HEAD(afterNth(N:S,XS:S)) SPLITAT(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SPLITAT(s(N:S),cons(X:S,XS:S)) -> SPLITAT(N:S,activate(XS:S)) SPLITAT(s(N:S),cons(X:S,XS:S)) -> U(splitAt(N:S,activate(XS:S)),N:S,X:S,activate(XS:S)) TAIL(cons(N:S,XS:S)) -> ACTIVATE(XS:S) TAKE(N:S,XS:S) -> FST(splitAt(N:S,XS:S)) TAKE(N:S,XS:S) -> SPLITAT(N:S,XS:S) U(pair(YS:S,ZS:S),N:S,X:S,XS:S) -> ACTIVATE(X:S) -> Rules: activate(n__natsFrom(X:S)) -> natsFrom(X:S) activate(X:S) -> X:S afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S)) fst(pair(XS:S,YS:S)) -> XS:S head(cons(N:S,XS:S)) -> N:S natsFrom(N:S) -> cons(N:S,n__natsFrom(s(N:S))) natsFrom(X:S) -> n__natsFrom(X:S) sel(N:S,XS:S) -> head(afterNth(N:S,XS:S)) snd(pair(XS:S,YS:S)) -> YS:S splitAt(0,XS:S) -> pair(nil,XS:S) splitAt(s(N:S),cons(X:S,XS:S)) -> u(splitAt(N:S,activate(XS:S)),N:S,X:S,activate(XS:S)) tail(cons(N:S,XS:S)) -> activate(XS:S) take(N:S,XS:S) -> fst(splitAt(N:S,XS:S)) u(pair(YS:S,ZS:S),N:S,X:S,XS:S) -> pair(cons(activate(X:S),YS:S),ZS:S) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__natsFrom(X:S)) -> NATSFROM(X:S) AFTERNTH(N:S,XS:S) -> SND(splitAt(N:S,XS:S)) AFTERNTH(N:S,XS:S) -> SPLITAT(N:S,XS:S) SEL(N:S,XS:S) -> AFTERNTH(N:S,XS:S) SEL(N:S,XS:S) -> HEAD(afterNth(N:S,XS:S)) SPLITAT(s(N:S),cons(X:S,XS:S)) -> ACTIVATE(XS:S) SPLITAT(s(N:S),cons(X:S,XS:S)) -> SPLITAT(N:S,activate(XS:S)) SPLITAT(s(N:S),cons(X:S,XS:S)) -> U(splitAt(N:S,activate(XS:S)),N:S,X:S,activate(XS:S)) TAIL(cons(N:S,XS:S)) -> ACTIVATE(XS:S) TAKE(N:S,XS:S) -> FST(splitAt(N:S,XS:S)) TAKE(N:S,XS:S) -> SPLITAT(N:S,XS:S) U(pair(YS:S,ZS:S),N:S,X:S,XS:S) -> ACTIVATE(X:S) -> Rules: activate(n__natsFrom(X:S)) -> natsFrom(X:S) activate(X:S) -> X:S afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S)) fst(pair(XS:S,YS:S)) -> XS:S head(cons(N:S,XS:S)) -> N:S natsFrom(N:S) -> cons(N:S,n__natsFrom(s(N:S))) natsFrom(X:S) -> n__natsFrom(X:S) sel(N:S,XS:S) -> head(afterNth(N:S,XS:S)) snd(pair(XS:S,YS:S)) -> YS:S splitAt(0,XS:S) -> pair(nil,XS:S) splitAt(s(N:S),cons(X:S,XS:S)) -> u(splitAt(N:S,activate(XS:S)),N:S,X:S,activate(XS:S)) tail(cons(N:S,XS:S)) -> activate(XS:S) take(N:S,XS:S) -> fst(splitAt(N:S,XS:S)) u(pair(YS:S,ZS:S),N:S,X:S,XS:S) -> pair(cons(activate(X:S),YS:S),ZS:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: SPLITAT(s(N:S),cons(X:S,XS:S)) -> SPLITAT(N:S,activate(XS:S)) ->->-> Rules: activate(n__natsFrom(X:S)) -> natsFrom(X:S) activate(X:S) -> X:S afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S)) fst(pair(XS:S,YS:S)) -> XS:S head(cons(N:S,XS:S)) -> N:S natsFrom(N:S) -> cons(N:S,n__natsFrom(s(N:S))) natsFrom(X:S) -> n__natsFrom(X:S) sel(N:S,XS:S) -> head(afterNth(N:S,XS:S)) snd(pair(XS:S,YS:S)) -> YS:S splitAt(0,XS:S) -> pair(nil,XS:S)
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