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SRS Standard pair #487083508
details
property
value
status
complete
benchmark
01-oppelt08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.59958 seconds
cpu usage
29.438
user time
28.1951
system time
1.24282
max virtual memory
2.1125824E7
max residence set size
3326800.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) NonTerminationProof [COMPLETE, 1739 ms] (2) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(c(x1))) -> c(b(a(x1))) a(c(x1)) -> a(a(d(a(x1)))) d(a(b(x1))) -> b(a(d(x1))) d(a(c(x1))) -> b(c(c(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: "a (a b)^k+1 c c -> a (a b)^k+2 c c" a (a b)^k+1 c c -> a (a b)^k+2 c c by Equivalent"a (a b)^k+1 c c -> a a (b a)^k+1 b c c by Overlap u with r (ol3)"a (a b)^k+1 c -> a a (b a)^k+1 d a by Overlapping Derivationstructures"a (a b)^k+1 c -> a a d (a b)^k+1 a by Equivalent"a (a b)^k+1 c -> a a d a b (a b)^k a by Overlap u with l (ol4)"(a b)^k+1 c -> c b (a b)^k a by Operation rotate"(a b)^k+1 c -> c (b a)^k+1 by Operation lift"(a b)^k c -> c (b a)^k by Selfoverlapping OC am1"a b c -> c b a by original rule (OC 1)"""""a c -> a a d a by original rule (OC 1)""""d (a b)^k+1 -> (b a)^k+1 d by Operation lift"d (a b)^k -> (b a)^k d by Selfoverlapping OC am2"d a b -> b a d by original rule (OC 1)"""""d a c -> b c c by original rule (OC 1)"" ---------------------------------------- (2) NO
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