details

property	value
status	complete
benchmark	Ex9_BLR02_L.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)	0.0176301 seconds
cpu usage	0.018125
user time	0.003037
system time	0.015088
max virtual memory	113188.0
max residence set size	4172.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S M:S N:S X:S) (RULES filter(cons(X:S),0,M:S) -> cons(0) filter(cons(X:S),s(N:S),M:S) -> cons(X:S) nats(N:S) -> cons(N:S) sieve(cons(0)) -> cons(0) sieve(cons(s(N:S))) -> cons(s(N:S)) zprimes -> sieve(nats(s(s(0)))) ) Problem 1: Innermost Equivalent Processor: -> Rules: filter(cons(X:S),0,M:S) -> cons(0) filter(cons(X:S),s(N:S),M:S) -> cons(X:S) nats(N:S) -> cons(N:S) sieve(cons(0)) -> cons(0) sieve(cons(s(N:S))) -> cons(s(N:S)) zprimes -> sieve(nats(s(s(0)))) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: filter(cons(X:S),0,M:S) -> cons(0) filter(cons(X:S),s(N:S),M:S) -> cons(X:S) nats(N:S) -> cons(N:S) sieve(cons(0)) -> cons(0) sieve(cons(s(N:S))) -> cons(s(N:S)) zprimes -> sieve(nats(s(s(0)))) Problem 1: SCC Processor: -> Pairs: ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: filter(cons(X:S),0,M:S) -> cons(0) filter(cons(X:S),s(N:S),M:S) -> cons(X:S) nats(N:S) -> cons(N:S) sieve(cons(0)) -> cons(0) sieve(cons(s(N:S))) -> cons(s(N:S)) zprimes -> sieve(nats(s(s(0)))) ->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 Standard