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SRS Standard pair #516969304
details
property
value
status
complete
benchmark
04-oppelt08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n031.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
6.6908531189 seconds
cpu usage
22.986897301
max memory
1.384456192E9
stage attributes
key
value
output-size
1631
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) NonTerminationProof [COMPLETE, 1062 ms] (2) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(b(x1)) -> b(a(x1)) a(b(x1)) -> b(c(c(x1))) a(c(x1)) -> a(a(x1)) c(a(x1)) -> b(a(a(x1))) Q is empty. ---------------------------------------- (1) NonTerminationProof (COMPLETE) We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. Found the self-embedding DerivationStructure: "b a (c)^k b a -> b a (c)^2k+1 b a a" b a (c)^k b a -> b a (c)^2k+1 b a a by Overlap u with l (ol4)"a (c)^k b a -> b (c)^2k+1 b a a by Equivalent"a (c)^k b a -> b (c c)^k c b a a by Overlapping Derivationstructures"a (c)^k b a -> (a)^k b c b a a by Overlap u with r (ol3)"a (c)^k -> (a)^k a by Selfoverlapping OC am2"a c -> a a by original rule (OC 1)"""a b a -> b c b a a by OverlapClosure OC 2"a b -> b c c by original rule (OC 1)""c a -> b a a by original rule (OC 1)""""(a)^k b -> b (c c)^k by Selfoverlapping OC am1"a b -> b c c by original rule (OC 1)"""""b b -> b a by original rule (OC 1)" ---------------------------------------- (2) NO
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