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TRS Outer 67415 pair #381918128
details
property
value
status
complete
benchmark
PEANO_nosorts-noand_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.1927549839 seconds
cpu usage
2.559244582
max memory
1.78593792E8
stage attributes
key
value
output-size
1838
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 0 ms] (2) NO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: U12(tt) -> s(plus(N, M)) U11(tt) -> U12(tt) plus(N, 0) -> N plus(N, s(M)) -> U11(tt) Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: U12(tt) -> s(plus(N, M)) U11(tt) -> U12(tt) plus(N, 0) -> N plus(N, s(M)) -> U11(tt) Outermost Strategy. ---------- Loop: ---------- plus(N, U12(tt)) -> plus(N, s(plus(U12(tt), U12(tt)))) with rule U12(tt) -> s(plus(N, M)) at position [1] and matcher [N / U12(tt), M / U12(tt)] plus(N, s(plus(U12(tt), U12(tt)))) -> U11(tt) with rule plus(N', s(M)) -> U11(tt) at position [] and matcher [N' / N, M / plus(U12(tt), U12(tt))] U11(tt) -> U12(tt) with rule U11(tt) -> U12(tt) at position [] and matcher [ ] U12(tt) -> s(plus(U12(tt), U12(tt))) with rule U12(tt) -> s(plus(N, M)) at position [] and matcher [N / U12(tt), M / U12(tt)] Now an instance of the first term with Matcher [N / U12(tt)] occurs in the last term at position [0]. Context: s([]) We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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