details

property	value
status	complete
benchmark	Ex9_BLR02_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.178062 seconds
cpu usage	0.186196
user time	0.125779
system time	0.060417
max virtual memory	113188.0
max residence set size	9112.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S M:S N:S X:S X1:S X2:S X3:S Y:S) (RULES a__filter(cons(X:S,Y:S),0,M:S) -> cons(0,filter(Y:S,M:S,M:S)) a__filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(mark(X:S),filter(Y:S,N:S,M:S)) a__filter(X1:S,X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) a__nats(N:S) -> cons(mark(N:S),nats(s(N:S))) a__nats(X:S) -> nats(X:S) a__sieve(cons(0,Y:S)) -> cons(0,sieve(Y:S)) a__sieve(cons(s(N:S),Y:S)) -> cons(s(mark(N:S)),sieve(filter(Y:S,N:S,N:S))) a__sieve(X:S) -> sieve(X:S) a__zprimes -> a__sieve(a__nats(s(s(0)))) a__zprimes -> zprimes mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(filter(X1:S,X2:S,X3:S)) -> a__filter(mark(X1:S),mark(X2:S),mark(X3:S)) mark(nats(X:S)) -> a__nats(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(sieve(X:S)) -> a__sieve(mark(X:S)) mark(zprimes) -> a__zprimes ) Problem 1: Dependency Pairs Processor: -> Pairs: A__FILTER(cons(X:S,Y:S),s(N:S),M:S) -> MARK(X:S) A__NATS(N:S) -> MARK(N:S) A__SIEVE(cons(s(N:S),Y:S)) -> MARK(N:S) A__ZPRIMES -> A__NATS(s(s(0))) A__ZPRIMES -> A__SIEVE(a__nats(s(s(0)))) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(filter(X1:S,X2:S,X3:S)) -> A__FILTER(mark(X1:S),mark(X2:S),mark(X3:S)) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X2:S) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X3:S) MARK(nats(X:S)) -> A__NATS(mark(X:S)) MARK(nats(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(sieve(X:S)) -> A__SIEVE(mark(X:S)) MARK(sieve(X:S)) -> MARK(X:S) MARK(zprimes) -> A__ZPRIMES -> Rules: a__filter(cons(X:S,Y:S),0,M:S) -> cons(0,filter(Y:S,M:S,M:S)) a__filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(mark(X:S),filter(Y:S,N:S,M:S)) a__filter(X1:S,X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) a__nats(N:S) -> cons(mark(N:S),nats(s(N:S))) a__nats(X:S) -> nats(X:S) a__sieve(cons(0,Y:S)) -> cons(0,sieve(Y:S)) a__sieve(cons(s(N:S),Y:S)) -> cons(s(mark(N:S)),sieve(filter(Y:S,N:S,N:S))) a__sieve(X:S) -> sieve(X:S) a__zprimes -> a__sieve(a__nats(s(s(0)))) a__zprimes -> zprimes mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(filter(X1:S,X2:S,X3:S)) -> a__filter(mark(X1:S),mark(X2:S),mark(X3:S)) mark(nats(X:S)) -> a__nats(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(sieve(X:S)) -> a__sieve(mark(X:S)) mark(zprimes) -> a__zprimes Problem 1: SCC Processor: -> Pairs: A__FILTER(cons(X:S,Y:S),s(N:S),M:S) -> MARK(X:S) A__NATS(N:S) -> MARK(N:S) A__SIEVE(cons(s(N:S),Y:S)) -> MARK(N:S) A__ZPRIMES -> A__NATS(s(s(0))) A__ZPRIMES -> A__SIEVE(a__nats(s(s(0)))) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(filter(X1:S,X2:S,X3:S)) -> A__FILTER(mark(X1:S),mark(X2:S),mark(X3:S)) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X2:S) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X3:S) MARK(nats(X:S)) -> A__NATS(mark(X:S)) MARK(nats(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(sieve(X:S)) -> A__SIEVE(mark(X:S)) MARK(sieve(X:S)) -> MARK(X:S) MARK(zprimes) -> A__ZPRIMES -> Rules: a__filter(cons(X:S,Y:S),0,M:S) -> cons(0,filter(Y:S,M:S,M:S)) a__filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(mark(X:S),filter(Y:S,N:S,M:S)) a__filter(X1:S,X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) a__nats(N:S) -> cons(mark(N:S),nats(s(N:S))) a__nats(X:S) -> nats(X:S) a__sieve(cons(0,Y:S)) -> cons(0,sieve(Y:S)) a__sieve(cons(s(N:S),Y:S)) -> cons(s(mark(N:S)),sieve(filter(Y:S,N:S,N:S))) a__sieve(X:S) -> sieve(X:S) a__zprimes -> a__sieve(a__nats(s(s(0)))) a__zprimes -> zprimes mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(filter(X1:S,X2:S,X3:S)) -> a__filter(mark(X1:S),mark(X2:S),mark(X3:S)) mark(nats(X:S)) -> a__nats(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) popout

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job log

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actions

all output return to TRS Standard