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TRS Relative pair #487520673
details
property
value
status
complete
benchmark
rt3-6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.66080307961 seconds
cpu usage
3.788808282
max memory
2.7621376E8
stage attributes
key
value
output-size
1322
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be disproven: (0) RelTRS (1) RelTRSLoopFinderProof [COMPLETE, 24 ms] (2) NO ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b(a(x)) -> a(b(x)) The relative TRS consists of the following S rules: a(x) -> a(a(x)) b(x) -> b(b(x)) ---------------------------------------- (1) RelTRSLoopFinderProof (COMPLETE) The following loop was found: ---------- Loop: ---------- b(a(x')) -> b(a(a(x'))) with rule a(x'') -> a(a(x'')) at position [0] and matcher [x'' / x'] b(a(a(x'))) -> a(b(a(x'))) with rule b(a(x)) -> a(b(x)) at position [] and matcher [x / a(x')] Now an instance of the first term with Matcher [ ] occurs in the last term at position [0]. Context: a([]) Therefore, the relative TRS problem does not terminate. ---------------------------------------- (2) NO
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