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TRS Equational pair #487092734
details
property
value
status
complete
benchmark
AC15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.5952 seconds
cpu usage
3.27285
user time
3.12864
system time
0.144218
max virtual memory
1.8275312E7
max residence set size
214396.0
stage attributes
key
value
starexec-result
YES
output
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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: f(g(g(x)), x) -> f(g(x), g(x)) f(f(x, x), g(x)) -> f(x, h(x)) The set E consists of the following equations: f(x, y) == f(y, x) f(f(x, y), z) == f(x, f(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: g_1 > h_1 Status: f_2: flat status ---------------------------------------- (2) YES
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