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TRS Relative pair #487520724
details
property
value
status
complete
benchmark
rt3-3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.84960603714 seconds
cpu usage
3.784447639
max memory
2.53448192E8
stage attributes
key
value
output-size
1398
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be disproven: (0) RelTRS (1) RelTRSLoopFinderProof [COMPLETE, 30 ms] (2) NO ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: p(0, y) -> y p(s(x), y) -> s(p(x, y)) The relative TRS consists of the following S rules: p(x, y) -> s(p(x, y)) ---------------------------------------- (1) RelTRSLoopFinderProof (COMPLETE) The following loop was found: ---------- Loop: ---------- p(p(x', y'), y) -> p(s(p(x', y')), y) with rule p(x'', y'') -> s(p(x'', y'')) at position [0] and matcher [x'' / x', y'' / y'] p(s(p(x', y')), y) -> s(p(p(x', y'), y)) with rule p(s(x), y'') -> s(p(x, y'')) at position [] and matcher [x / p(x', y'), y'' / y] Now an instance of the first term with Matcher [ ] occurs in the last term at position [0]. Context: s([]) Therefore, the relative TRS problem does not terminate. ---------------------------------------- (2) NO
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