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SRS Stand 10685 pair #381717102
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
n009.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.68128180504 seconds
cpu usage
23.546037836
max memory
3.008323584E9
stage attributes
key
value
output-size
1798
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) NonTerminationProof [COMPLETE, 1190 ms] (2) NO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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