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SRS Standard pair #487083490
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
n144.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.94548 seconds
cpu usage
20.4522
user time
19.3721
system time
1.08013
max virtual memory
1.20317164E8
max residence set size
3160616.0
stage attributes
key
value
starexec-result
NO
output
NO proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) NonTerminationProof [COMPLETE, 913 ms] (2) NO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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