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TRS Standard pair #487070418
details
property
value
status
complete
benchmark
Ex1_GL02a_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.40052 seconds
cpu usage
5.43224
user time
5.18169
system time
0.250547
max virtual memory
1.8411988E7
max residence set size
437708.0
stage attributes
key
value
starexec-result
NO
output
NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 23 ms] (2) QTRS (3) AAECC Innermost [EQUIVALENT, 0 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 0 ms] (6) QDP (7) UsableRulesProof [EQUIVALENT, 0 ms] (8) QDP (9) QReductionProof [EQUIVALENT, 0 ms] (10) QDP (11) NonTerminationLoopProof [COMPLETE, 0 ms] (12) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: eq -> true eq -> eq eq -> false inf(X) -> cons take(0, X) -> nil take(s, cons) -> cons length(nil) -> 0 length(cons) -> s Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Knuth-Bendix order [KBO] with precedence:length_1 > s > eq > false > nil > 0 > take_2 > inf_1 > cons > true and weight map: eq=1 true=1 false=1 cons=2 0=2 nil=1 s=3 inf_1=1 length_1=1 take_2=0 The variable weight is 1With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: eq -> true eq -> false inf(X) -> cons take(0, X) -> nil take(s, cons) -> cons length(nil) -> 0 length(cons) -> s ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: eq -> eq Q is empty. ---------------------------------------- (3) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is none The TRS R 2 is eq -> eq The signature Sigma is {eq} ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: eq -> eq
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