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TRS Equational pair #487523115
details
property
value
status
complete
benchmark
AC48.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.71638584137 seconds
cpu usage
3.282153198
max memory
2.02911744E8
stage attributes
key
value
output-size
1310
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: times(x, 0) -> 0 times(x, s(y)) -> plus(times(x, y), x) plus(x, 0) -> x plus(0, x) -> x plus(x, s(y)) -> s(plus(x, y)) plus(s(x), y) -> s(plus(x, y)) The set E consists of the following equations: plus(x, y) == plus(y, x) times(x, y) == times(y, x) plus(plus(x, y), z) == plus(x, plus(y, z)) times(times(x, y), z) == times(x, times(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: times_2 > plus_2 > s_1 Status: plus_2: flat status times_2: flat status ---------------------------------------- (2) YES
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