details

property	value
status	complete
benchmark	Ex9_BLR02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.016992 seconds
cpu usage	0.017503
user time	0.008138
system time	0.009365
max virtual memory	113188.0
max residence set size	4944.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR M N X Y) (STRATEGY CONTEXTSENSITIVE (filter 1 2 3) (nats 1) (sieve 1) (zprimes) (0) (cons 1) (s 1) ) (RULES filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) ) Problem 1: Innermost Equivalent Processor: -> Rules: filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) -> Unhiding rules: Empty ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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job log

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actions

all output return to TRS Contextsensitive