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TRS Condi 20667 pair #381733155
details
property
value
status
complete
benchmark
325.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.68128204346 seconds
cpu usage
3.74595374
max memory
2.32517632E8
stage attributes
key
value
output-size
3253
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Quasi decreasingness of the given CTRS could be proven: (0) CTRS (1) CTRSToQTRSProof [SOUND, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 74 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 0 ms] (6) QTRS (7) RisEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Conditional term rewrite system: The TRS R consists of the following rules: g(d, x, x) -> A h(x, x) -> g(x, x, f(k)) c -> e' a -> c a -> d b -> c b -> d c -> e c -> l k -> l k -> m d -> m The conditional TRS C consists of the following conditional rules: f(x) -> x <= x -> e, x -> e' ---------------------------------------- (1) CTRSToQTRSProof (SOUND) The conditional rules have been transormed into unconditional rules according to [CTRS,AAECCNOC]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(x) -> U1(x, x) U1(e, x) -> U2(x, x) U2(e', x) -> x g(d, x, x) -> A h(x, x) -> g(x, x, f(k)) c -> e' a -> c a -> d b -> c b -> d c -> e c -> l k -> l k -> m d -> m Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: Quasi precedence: [d, c, a, b] > e [d, c, a, b] > e' [d, c, a, b] > A [d, c, a, b] > l [d, c, a, b] > m h_2 > f_1 > U1_2 > U2_2 h_2 > g_3 > A h_2 > k > l h_2 > k > m Status: f_1: [1] U1_2: [2,1] e: multiset status U2_2: [2,1] e': multiset status
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