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TRS Outer 67415 pair #381918215
details
property
value
status
complete
benchmark
Ex5_DLMMU04_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.25537395477 seconds
cpu usage
2.578501167
max memory
1.52264704E8
stage attributes
key
value
output-size
1851
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 0 ms] (2) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: tail(cons(X)) -> XS pairNs -> cons(0) oddNs -> incr(pairNs) incr(cons(X)) -> cons(s(X)) take(0, XS) -> nil take(s(N), cons(X)) -> cons(X) zip(nil, XS) -> nil zip(X, nil) -> nil zip(cons(X), cons(Y)) -> cons(pair(X, Y)) repItems(nil) -> nil repItems(cons(X)) -> cons(X) Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: tail(cons(X)) -> XS pairNs -> cons(0) oddNs -> incr(pairNs) incr(cons(X)) -> cons(s(X)) take(0, XS) -> nil take(s(N), cons(X)) -> cons(X) zip(nil, XS) -> nil zip(X, nil) -> nil zip(cons(X), cons(Y)) -> cons(pair(X, Y)) repItems(nil) -> nil repItems(cons(X)) -> cons(X) Outermost Strategy. ---------- Loop: ---------- tail(cons(X)) -> tail(cons(X)) with rule tail(cons(X'')) -> XS at position [] and matcher [X'' / X, XS / tail(cons(X))] Now an instance of the first term with Matcher [ ] occurs in the last term at position []. Context: [] We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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