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TRS Outer 67415 pair #381918029
details
property
value
status
complete
benchmark
OvConsOS_nosorts-noand_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n027.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.1955139637 seconds
cpu usage
2.554866536
max memory
1.78573312E8
stage attributes
key
value
output-size
1728
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 0 ms] (2) NO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: U12(tt) -> s(length(L)) U23(tt) -> cons(N) zeros -> cons(0) U11(tt) -> U12(tt) U21(tt) -> U22(tt) U22(tt) -> U23(tt) length(nil) -> 0 length(cons(N)) -> U11(tt) take(0, IL) -> nil take(s(M), cons(N)) -> U21(tt) Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: U12(tt) -> s(length(L)) U23(tt) -> cons(N) zeros -> cons(0) U11(tt) -> U12(tt) U21(tt) -> U22(tt) U22(tt) -> U23(tt) length(nil) -> 0 length(cons(N)) -> U11(tt) take(0, IL) -> nil take(s(M), cons(N)) -> U21(tt) Outermost Strategy. ---------- Loop: ---------- U12(tt) -> s(length(U12(tt))) with rule U12(tt) -> s(length(L)) at position [] and matcher [L / U12(tt)] Now an instance of the first term with Matcher [ ] occurs in the last term at position [0,0]. Context: s(length([])) We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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