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TRS Standard pair #487070469
details
property
value
status
complete
benchmark
LISTUTILITIES_nosorts_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.058516 seconds
cpu usage
0.051753
user time
0.029987
system time
0.021766
max virtual memory
113188.0
max residence set size
8056.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S N:S X:S XS:S Y:S YS:S ZS:S) (RULES U11(tt,N:S,X:S,XS:S) -> U12(splitAt(activate(N:S),activate(XS:S)),activate(X:S)) U12(pair(YS:S,ZS:S),X:S) -> pair(cons(activate(X:S),YS:S),ZS:S) activate(n__natsFrom(X:S)) -> natsFrom(activate(X:S)) activate(n__s(X:S)) -> s(activate(X:S)) activate(X:S) -> X:S afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S)) and(tt,X:S) -> activate(X:S) fst(pair(X:S,Y:S)) -> X:S head(cons(N:S,XS:S)) -> N:S natsFrom(N:S) -> cons(N:S,n__natsFrom(n__s(N:S))) natsFrom(X:S) -> n__natsFrom(X:S) s(X:S) -> n__s(X:S) sel(N:S,XS:S) -> head(afterNth(N:S,XS:S)) snd(pair(X:S,Y:S)) -> Y:S splitAt(s(N:S),cons(X:S,XS:S)) -> U11(tt,N:S,X:S,activate(XS:S)) splitAt(0,XS:S) -> pair(nil,XS:S) tail(cons(N:S,XS:S)) -> activate(XS:S) take(N:S,XS:S) -> fst(splitAt(N:S,XS:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,N:S,X:S,XS:S) -> U12#(splitAt(activate(N:S),activate(XS:S)),activate(X:S)) U11#(tt,N:S,X:S,XS:S) -> ACTIVATE(N:S) U11#(tt,N:S,X:S,XS:S) -> ACTIVATE(X:S) U11#(tt,N:S,X:S,XS:S) -> ACTIVATE(XS:S) U11#(tt,N:S,X:S,XS:S) -> SPLITAT(activate(N:S),activate(XS:S)) U12#(pair(YS:S,ZS:S),X:S) -> ACTIVATE(X:S) ACTIVATE(n__natsFrom(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__natsFrom(X:S)) -> NATSFROM(activate(X:S)) ACTIVATE(n__s(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__s(X:S)) -> S(activate(X:S)) AFTERNTH(N:S,XS:S) -> SND(splitAt(N:S,XS:S)) AFTERNTH(N:S,XS:S) -> SPLITAT(N:S,XS:S) AND(tt,X:S) -> ACTIVATE(X: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)) -> U11#(tt,N:S,X:S,activate(XS:S)) SPLITAT(s(N:S),cons(X:S,XS: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) -> Rules: U11(tt,N:S,X:S,XS:S) -> U12(splitAt(activate(N:S),activate(XS:S)),activate(X:S)) U12(pair(YS:S,ZS:S),X:S) -> pair(cons(activate(X:S),YS:S),ZS:S) activate(n__natsFrom(X:S)) -> natsFrom(activate(X:S)) activate(n__s(X:S)) -> s(activate(X:S)) activate(X:S) -> X:S afterNth(N:S,XS:S) -> snd(splitAt(N:S,XS:S)) and(tt,X:S) -> activate(X:S) fst(pair(X:S,Y:S)) -> X:S head(cons(N:S,XS:S)) -> N:S natsFrom(N:S) -> cons(N:S,n__natsFrom(n__s(N:S))) natsFrom(X:S) -> n__natsFrom(X:S) s(X:S) -> n__s(X:S) sel(N:S,XS:S) -> head(afterNth(N:S,XS:S)) snd(pair(X:S,Y:S)) -> Y:S splitAt(s(N:S),cons(X:S,XS:S)) -> U11(tt,N:S,X:S,activate(XS:S)) splitAt(0,XS:S) -> pair(nil,XS:S) tail(cons(N:S,XS:S)) -> activate(XS:S) take(N:S,XS:S) -> fst(splitAt(N:S,XS:S)) Problem 1: SCC Processor: -> Pairs: U11#(tt,N:S,X:S,XS:S) -> U12#(splitAt(activate(N:S),activate(XS:S)),activate(X:S)) U11#(tt,N:S,X:S,XS:S) -> ACTIVATE(N:S) U11#(tt,N:S,X:S,XS:S) -> ACTIVATE(X:S) U11#(tt,N:S,X:S,XS:S) -> ACTIVATE(XS:S) U11#(tt,N:S,X:S,XS:S) -> SPLITAT(activate(N:S),activate(XS:S)) U12#(pair(YS:S,ZS:S),X:S) -> ACTIVATE(X:S) ACTIVATE(n__natsFrom(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__natsFrom(X:S)) -> NATSFROM(activate(X:S)) ACTIVATE(n__s(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__s(X:S)) -> S(activate(X:S)) AFTERNTH(N:S,XS:S) -> SND(splitAt(N:S,XS:S)) AFTERNTH(N:S,XS:S) -> SPLITAT(N:S,XS:S) AND(tt,X:S) -> ACTIVATE(X: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)) -> U11#(tt,N:S,X:S,activate(XS:S)) SPLITAT(s(N:S),cons(X:S,XS: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) -> Rules: U11(tt,N:S,X:S,XS:S) -> U12(splitAt(activate(N:S),activate(XS:S)),activate(X:S)) U12(pair(YS:S,ZS:S),X:S) -> pair(cons(activate(X:S),YS:S),ZS:S) activate(n__natsFrom(X:S)) -> natsFrom(activate(X:S)) activate(n__s(X:S)) -> s(activate(X:S)) activate(X:S) -> X:S
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