details

property	value
status	complete
benchmark	Ex9_BLR02_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.113339 seconds
cpu usage	0.099798
user time	0.066409
system time	0.033389
max virtual memory	113188.0
max residence set size	7956.0

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 activate(n__filter(X1:S,X2:S,X3:S)) -> filter(X1:S,X2:S,X3:S) activate(n__nats(X:S)) -> nats(X:S) activate(n__sieve(X:S)) -> sieve(X:S) activate(X:S) -> X:S filter(cons(X:S,Y:S),0,M:S) -> cons(0,n__filter(activate(Y:S),M:S,M:S)) filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(X:S,n__filter(activate(Y:S),N:S,M:S)) filter(X1:S,X2:S,X3:S) -> n__filter(X1:S,X2:S,X3:S) nats(N:S) -> cons(N:S,n__nats(s(N:S))) nats(X:S) -> n__nats(X:S) sieve(cons(0,Y:S)) -> cons(0,n__sieve(activate(Y:S))) sieve(cons(s(N:S),Y:S)) -> cons(s(N:S),n__sieve(filter(activate(Y:S),N:S,N:S))) sieve(X:S) -> n__sieve(X:S) zprimes -> sieve(nats(s(s(0)))) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__filter(X1:S,X2:S,X3:S)) -> FILTER(X1:S,X2:S,X3:S) ACTIVATE(n__nats(X:S)) -> NATS(X:S) ACTIVATE(n__sieve(X:S)) -> SIEVE(X:S) FILTER(cons(X:S,Y:S),0,M:S) -> ACTIVATE(Y:S) FILTER(cons(X:S,Y:S),s(N:S),M:S) -> ACTIVATE(Y:S) SIEVE(cons(0,Y:S)) -> ACTIVATE(Y:S) SIEVE(cons(s(N:S),Y:S)) -> ACTIVATE(Y:S) SIEVE(cons(s(N:S),Y:S)) -> FILTER(activate(Y:S),N:S,N:S) ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: activate(n__filter(X1:S,X2:S,X3:S)) -> filter(X1:S,X2:S,X3:S) activate(n__nats(X:S)) -> nats(X:S) activate(n__sieve(X:S)) -> sieve(X:S) activate(X:S) -> X:S filter(cons(X:S,Y:S),0,M:S) -> cons(0,n__filter(activate(Y:S),M:S,M:S)) filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(X:S,n__filter(activate(Y:S),N:S,M:S)) filter(X1:S,X2:S,X3:S) -> n__filter(X1:S,X2:S,X3:S) nats(N:S) -> cons(N:S,n__nats(s(N:S))) nats(X:S) -> n__nats(X:S) sieve(cons(0,Y:S)) -> cons(0,n__sieve(activate(Y:S))) sieve(cons(s(N:S),Y:S)) -> cons(s(N:S),n__sieve(filter(activate(Y:S),N:S,N:S))) sieve(X:S) -> n__sieve(X:S) zprimes -> sieve(nats(s(s(0)))) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__filter(X1:S,X2:S,X3:S)) -> FILTER(X1:S,X2:S,X3:S) ACTIVATE(n__nats(X:S)) -> NATS(X:S) ACTIVATE(n__sieve(X:S)) -> SIEVE(X:S) FILTER(cons(X:S,Y:S),0,M:S) -> ACTIVATE(Y:S) FILTER(cons(X:S,Y:S),s(N:S),M:S) -> ACTIVATE(Y:S) SIEVE(cons(0,Y:S)) -> ACTIVATE(Y:S) SIEVE(cons(s(N:S),Y:S)) -> ACTIVATE(Y:S) SIEVE(cons(s(N:S),Y:S)) -> FILTER(activate(Y:S),N:S,N:S) ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: activate(n__filter(X1:S,X2:S,X3:S)) -> filter(X1:S,X2:S,X3:S) activate(n__nats(X:S)) -> nats(X:S) activate(n__sieve(X:S)) -> sieve(X:S) activate(X:S) -> X:S filter(cons(X:S,Y:S),0,M:S) -> cons(0,n__filter(activate(Y:S),M:S,M:S)) filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(X:S,n__filter(activate(Y:S),N:S,M:S)) filter(X1:S,X2:S,X3:S) -> n__filter(X1:S,X2:S,X3:S) nats(N:S) -> cons(N:S,n__nats(s(N:S))) nats(X:S) -> n__nats(X:S) sieve(cons(0,Y:S)) -> cons(0,n__sieve(activate(Y:S))) sieve(cons(s(N:S),Y:S)) -> cons(s(N:S),n__sieve(filter(activate(Y:S),N:S,N:S))) sieve(X:S) -> n__sieve(X:S) zprimes -> sieve(nats(s(s(0)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ACTIVATE(n__filter(X1:S,X2:S,X3:S)) -> FILTER(X1:S,X2:S,X3:S) ACTIVATE(n__sieve(X:S)) -> SIEVE(X:S) FILTER(cons(X:S,Y:S),0,M:S) -> ACTIVATE(Y:S) FILTER(cons(X:S,Y:S),s(N:S),M:S) -> ACTIVATE(Y:S) SIEVE(cons(0,Y:S)) -> ACTIVATE(Y:S) SIEVE(cons(s(N:S),Y:S)) -> ACTIVATE(Y:S) SIEVE(cons(s(N:S),Y:S)) -> FILTER(activate(Y:S),N:S,N:S) ->->-> Rules: activate(n__filter(X1:S,X2:S,X3:S)) -> filter(X1:S,X2:S,X3:S) activate(n__nats(X:S)) -> nats(X:S) activate(n__sieve(X:S)) -> sieve(X:S) activate(X:S) -> X:S filter(cons(X:S,Y:S),0,M:S) -> cons(0,n__filter(activate(Y:S),M:S,M:S)) filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(X:S,n__filter(activate(Y:S),N:S,M:S)) filter(X1:S,X2:S,X3:S) -> n__filter(X1:S,X2:S,X3:S) nats(N:S) -> cons(N:S,n__nats(s(N:S))) nats(X:S) -> n__nats(X:S) sieve(cons(0,Y:S)) -> cons(0,n__sieve(activate(Y:S))) sieve(cons(s(N:S),Y:S)) -> cons(s(N:S),n__sieve(filter(activate(Y:S),N:S,N:S))) popout

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job log

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actions

all output return to TRS Standard