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TRS Outer 67415 pair #381918136
details
property
value
status
complete
benchmark
Ex1_Luc04b_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.22577905655 seconds
cpu usage
2.7296177
max memory
1.8929664E8
stage attributes
key
value
output-size
1841
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 0 ms] (2) NO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: nats -> cons(0, n__incr(nats)) pairs -> cons(0, n__incr(odds)) odds -> incr(pairs) incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS))) head(cons(X, XS)) -> X tail(cons(X, XS)) -> activate(XS) incr(X) -> n__incr(X) activate(n__incr(X)) -> incr(X) activate(X) -> X Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: nats -> cons(0, n__incr(nats)) pairs -> cons(0, n__incr(odds)) odds -> incr(pairs) incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS))) head(cons(X, XS)) -> X tail(cons(X, XS)) -> activate(XS) incr(X) -> n__incr(X) activate(n__incr(X)) -> incr(X) activate(X) -> X Outermost Strategy. ---------- Loop: ---------- nats -> cons(0, n__incr(nats)) with rule nats -> cons(0, n__incr(nats)) at position [] and matcher [ ] Now an instance of the first term with Matcher [ ] occurs in the last term at position [1,0]. Context: cons(0, n__incr([])) We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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