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TRS Outer 67415 pair #381918073
details
property
value
status
complete
benchmark
003.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n042.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.27577805519 seconds
cpu usage
2.971320294
max memory
2.34971136E8
stage attributes
key
value
output-size
1822
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 53 ms] (2) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: app(app(app(if, true), x), y) -> x app(app(app(if, false), x), y) -> y app(app(app(until, p), f), x) -> app(app(app(if, app(p, x)), x), app(app(app(until, p), f), app(f, x))) Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: app(app(app(if, true), x), y) -> x app(app(app(if, false), x), y) -> y app(app(app(until, p), f), x) -> app(app(app(if, app(p, x)), x), app(app(app(until, p), f), app(f, x))) Outermost Strategy. ---------- Loop: ---------- app(app(app(until, p), f), x) -> app(app(app(if, app(p, x)), x), app(app(app(until, p), f), app(f, x))) with rule app(app(app(until, p'), f'), x') -> app(app(app(if, app(p', x')), x'), app(app(app(until, p'), f'), app(f', x'))) at position [] and matcher [p' / p, f' / f, x' / x] Now an instance of the first term with Matcher [x / app(f, x)] occurs in the last term at position [1]. Context: app(app(app(if, app(p, x)), x), []) We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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