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	n151.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.182478 seconds
cpu usage	0.190446
user time	0.140389
system time	0.050057
max virtual memory	113188.0
max residence set size	8908.0

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 ) (STRATEGY INNERMOST) 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)) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Innermost