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TRS Standard pair #516962436
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
n071.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.1053647995 seconds
cpu usage
0.018411091
max memory
1511424.0
stage attributes
key
value
output-size
1618
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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.
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