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TRS Outer 67415 pair #381918204
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
n055.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.2549328804 seconds
cpu usage
2.823787215
max memory
2.14016E8
stage attributes
key
value
output-size
1832
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 36 ms] (2) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following 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)) sieve(cons(0, Y)) -> cons(0, sieve(Y)) sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N))) nats(N) -> cons(N, nats(s(N))) zprimes -> sieve(nats(s(s(0)))) Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following 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)) sieve(cons(0, Y)) -> cons(0, sieve(Y)) sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N))) nats(N) -> cons(N, nats(s(N))) zprimes -> sieve(nats(s(s(0)))) Outermost Strategy. ---------- Loop: ---------- nats(N) -> cons(N, nats(s(N))) with rule nats(N') -> cons(N', nats(s(N'))) at position [] and matcher [N' / N] Now an instance of the first term with Matcher [N / s(N)] occurs in the last term at position [1]. Context: cons(N, []) We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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